Hi Year 6,

I’ve been watching your ‘Tests of Divisibility’ videos on BHTV and can see we are getting much better at talking about Maths; well done!

http://www.broadheath.coventry.sch.uk/broad-heath-tv/calculation-methods/division/rules-of-divisibility/

I would like you to use these videos to help you answer some questions. Silver and Gold group, your answers to the questions can be posted on the blog so I know you have looked at the videos. Bronze group please write your answers in your homework book.

BRONZE:

‘The number 840 is divisible by 2, 3, 5, 6, 7, 9 and 10’

Is this statement true? Use the information in the videos to help you prove it. Write a few sentences in your homework book for each of these possible factors of 840.

SILVER:

Now that you are fantastic at talking about Maths, I would like you to write about it. Write a paragraph, including examples, for the Tests of Divisibility for either 6, 7 or 9. Use the BHTV videos to help you.

GOLD:

We still need to add some videos for the Tests of Divisibility for 4, 8, 11 and 12. Please choose two of these Tests of Divisibility and write a paragraph for each with examples. Remember to use excellent Maths vocabulary including the words ‘factor’ and ‘multiple’.

silver:

Test of divisibility for 6.

rule of 6

the test of divisibility for 6 is that you think of a digit and add with other number for example 3+3=6 or you can do 4+2=6, but if you make a mistake on adding your hole divisibility will be wrong.

by Nasim Sherif :)

SILVER: Test of divisibility for 6.

If a number is divisible by 2 and 3 then it will also be divisible by 6. For example 114, I know that this is divisible by 2 because 114 is an even number and 4 is in the 2 times table because 1+1+4=6 and 6 is a multiple of therefore it is divisible b

The test of divisible for 10:)

The test of divisibility for 10 is the units all ways have to be 0.it does not matter if it is 3 tens so for example,500 is a multiple because of its units(which is 0).632 is not a multiple because of its units.So I hope you like my explanation :).

The test of divisibility for 8.The last three digits must be divisible by 8 for an example 1412 is not because 412 is not a multiple of 8.On the other hand 12816 is divisible by the 8s and 816 is a multiple of 8.

The test of divisibility for 4.The last two digits must be a multiple of 4 for example 940 is divisible by 4 and 40 is a multiple of 4.However 543 is not divisible by 4 and 43 is not a multiple of 4

test of divasablity for 4 times table

the test of divasability for 4 times table is that it has to be in the for times table and deviasable by 4.Also it has to end in 2,4,6,8,0 because they are even and are at the the end of each number in the four times table.for example 24 is in the four times table because it ends in 4.

GOLD

The test of divisibility for 8.The last three digits must be divisible by 8 for an example 1412 is not because 412 is not a multiple of 8.On the other hand 12816 is divisible by the 8s and 816 is a multiple of 8.

The test of divisibility for 4.The last two digits must be a multiple of 4 for example 940 is divisible by 4 and 40 is a multiple of 4.However 543 is not divisible by 4 and 43 is not a multiple of 4.

tests of divisibility for the twelve times table are that the intagets have to be divisible by 3 and 4 also. For,example 848. 6 + 4=10 +8 = 18

18 divided. the last two digits are 48 so you do 48 divided by 4 = 12.

test of divisibility for 6:

the number is divisible by 2 or 3 e.g.

114(it is even,1+1+4=6 and 6 divided by 3=2) yes

308(it is even, but 3+0+8=11 and 11 divided by 3= 3 and 2 thirds)NO ;)

by Hammad :)

Gold

The test of divisibility for the 8 times tables is when you look at the last three digits. The last three digits in the number has to be a multiple of the eights REMEMBER: you can only use this rule for numbers, which have more than 3 digits.

For example 1432 the last digits in the number is 1432{underlined numbers}.The methods you can use chunking and bus stop to work this out.

432 /8 =54

400/8=50 32/8=4

50+4=54

Silver:

Divisibility Test for 9:

In order for a number to be divisible by 9 The digits must add up to 9.

An example is 45 it has to add up to 9 so 4+5=9 the numer 45 is divisible by 9 this ha s completed the divisibility for 9.

It was meant to say 6 is a multiple of 3. :)

SILVER: Test of divisibility for 6.

If a number is divisible by 2 and 3 then it will also be divisible by 6. For example 114, I know that this is divisible by 2 because 114 is an even number and 4 is in the 2 times table ; 1+1+4=6. 6 is a multiple of therefore it is divisible by 6. :)

By Patrycja :)

Tests of divisibility for the 8 times table

To work this out you must look at the last three digits of the number. If this three digit number is a multiple of 8, the number is divisible by 8. For example the number 56,214. The last three digits in this number are 214. 214 divided by 8 is 26 remainder 6. This means that 56,214 is not divisible by 8. Another example is 912,624. The last three digits are 624. 624 divided by 8 is 78 which means 912,624 is divisible by 8.

Test of divisibility for the 12 times table

To work this out you have to know whether the number is divisible by 2,3 AND 4. If this is true, the number is divisible by 12. For example the number 1224. The number is divisible by 2 because its units are 4, it is a multiple of three because the sum of the digits is 9 (1+2+2+4=9) and it is divisible by 4 because the last two digits are 24 which is a multiple of 4. Therefore, 1224 is divisible by 12.

Aishah Hussain :)

silver

test of divisibility for 6

if a number is divisible by 6 then the numbers need to be in the 3 or 2 times table because they are all divisible by eachother. Also the end number has to end in the 3 or 2 times table.

by Ismaeel

you have to add 2 because the 2 is in the times tabele it is 2,4,6,8,10,12,14,16,18,20 is in the times table.

Rule of divisibility for 6

Silver challenge

The rules of divisibility for 6 are that the number always has to be divisible by 2 or 3,or in the 2 or 3 times table,this will prove it is divisible by 6.For example if you have 114,it is even and we already know it is divisible by 2 but not 3.However 1 add 1 add 4 equals 6 so if you do 6 divided by 3 it will equal 2 this means it is in the 3 times table and it is divisible by 3.On the other hand,308 is even,but 3 add 0 add 8 equals 11 divided by 3 equals 3 so no.That is the rule of divisibility for 6.

BY SARAH ;)

Test of Divisibility:

Gold

4

the test of divisibility for the 4 times tables,the last two digits must be divisable by 4,for example:752 is divisable by 4 because 4 X 13 = 52.

12

The test of divisibility for the 12 times tables,the number must be divisable by 3 and 4 for example: 144 is divisable by 12 because 1+4+4 = 9 and 9 is in the 3 times tables and the last two digits are divisable by 4 because 4 X 11 = 44.

egzample:

is 4829 divisible by 3 ?

4+8+2+9=23

is 23 in the three times table?

no 23 is not in the 3 x table :)

Welcome to year 6

Bronze challenge rule 2.

16 is divisible by 2 because 2 it is in the 2 time table

SILVER:

SIX

The prime factors of 6 are 2 and 3,so for a number to be divisible by six it must also be divisible by 2 and 3.

23,908

This nuber is even therefore it is divisible by 2. 2+3+9+0+8=22, 3 does not divide evenly into this number so this number is not divisible by 3.

154,608

This number is even therefore it is divisible by . 1+5+4+6+0+8=24 24 is divisible by 3 because 3×8=24 which means this number is divisible by 6.

silver ;)

test of divisibility for 6

if a number is divisible by 6 then the numbers need to be in the 3 or 2 times table because they are all divisible by eachother. Also the end number needs to be even because 6 is a even number.

by keeleigh :)

SILVER

Rule for 9

The test of divisibility for 9 is that all the numbers that are divisible by 9 have to be in the 9 times table. For example 81 is divisible by 9 because 9 times 9 = 81. On the other hand, 76 is not divisible by 9 because if you check in the 9 times table you will not see 76.

By Ayub Khan:)

silver

test of divisibility for 6

if the number is divisible by 3 which is when all the numbers are added together in units equals a number in the 3 time table is divisible by 3.aswell as if it is divisible by 2 which is when the last digit Is even it is divisible by 6

Gold:

The test of divisibility for the 11 times tables.

If you sum up every second digit of a number and if the answer is either 11 or 0 then it is divisible by 11. For example 918,082 is divisible by11 because 9-1=8 and add 8 is 16 and 8-2 is 6 and 16 add 6 =22.22 = 2×11.

Silver:

How to find the test of divisibility for 7:

To find the test of divisibility for 7 you need to look at the last digit which is the units.You then need to double that number and then subtract it from the rest of the number,however you do not include the unots.For example,if we had 172 we will have to look at the 2 because it is the units {last digit}.Then we will have to subtract it from 17.17-2=15.15 is not in the 7 x’s table and if we try to divide it we will end up with a remainder.A number that does work however is 777.Double 7=14.77-14=63.63 is a multiple of 7.

Thank you for reading:) By Muryam.

*units

Bronze challenge>RULE FOR 2.

8+4+0=12.1+2=3>840 is not divisible by 2 because 1+2=3 and 3 is not in the 2 times table or divisible by 2.

RULE FOR 3>is that you have to look at the sum of the digits.840 is not divisible by 3 because 40 is not in the 3 times or divisible by 3.

RULE FOR 5>is that if the number ends in 0 or 5.840 is divisible by 5 because it does end in 0.

RULE FOR 10>is if it ends in 0.840 is divisible by 10 because it ends in 0.

Gold

Test of Divisibility for the number 8:

To work out if a large number is divisible by eight, you should know that the last three digits have to be divisible by 8. If the last three digits are divisible by eight, then the whole number is a multiple of eight! For example, “Is 38,864 divisible by 8?” It sure is! This is because the last three digits of the number (864) are divisible by eight and equal 108. This implies that, the number, 38,864 is divisible by eight! However, if this rule does not work for a number, that means the number is not a multiple of eight. For instance, ” Does 7,966 divide by 8?” Of course not! That’s because 966 (the three last digits) are not divisible by 8 and the answer comes in decimal or comes with a remainder. It implies that the whole number is not a multiple of 8!

Gold

Test of Divisibility for the number 8:

To work out if a large number is divisible by eight, you should know that the last three digits have to be divisible by 8. If the last three digits are divisible by eight, then the whole number is a multiple of eight! For example, “Is 38,864 divisible by 8?” It sure is! This is because the last three digits of the number (864) are divisible by eight and equal 108. This implies that, the number, 38,864 is divisible by eight! However, if this rule does not work for a number, that means the number is not a multiple of eight. For instance, ” Does 7,966 divide by 8?” Of course not! That’s because 966 (the three last digits) are not divisible by 8 and the answer comes in decimal or comes with a remainder. It implies that the whole number is not a multiple of 8!

Test of divisibility for the number 12:

If a number is exactly divisible by 3 and 4, then that same number is a multiple of 12! For example, 336 is divisible by 3 (112) and 4 (84), consequently meaning that 336 is a factor of 12! Although, for some numbers (such as 298) this rule does not work. 298 ➗ 4 = 74.5 1nd 298 ➗ 3 = 99.3. This points to the fact that 298 is not divisible by 12!

Bye!!

Test of divisibility for the number 12:

If a number is exactly divisible by 3 and 4, then that same number is a multiple of 12! For example, 336 is divisible by 3 (112) and 4 (84), consequently meaning that 336 is a factor of 12! Although, for some numbers (such as 298) this rule does not work. 298 ➗ 4 = 74.5 1nd 298 ➗ 3 = 99.3. This points to the fact that 298 is not divisible by 12!

Bye!!

Where it says 1nd, that is supposed to be 1 and.

silver:

rule for 9:

to find the test of divisibility for 9 you need to add all the factors together for example:

198 1+9+8=18

after you have done that find out if the number is in the 9 x table 18 is in the 9 x table because 18 divided by 9 =2.But if you had the number 215 it would not be divisible by 9 because 2+1+5=8 6 is not in the 9 x table because the first number of the 9 x table is 9.That is how you find the test of divisibility for the 9 x table. :)

Silver challenge…

The test of the divisibility by 9 is that all the numbers in the 9 times table are divisible by 9. You have to look at the last 2 digits so you know if the number is in the 9 times table. For example 279 is divisible by 9 because 2+7+9=18 and 18 is in the 9 times table.

The test of divisibility by 7 is that all of the numbers in the 7 times table are divisible by 7. You have to look at the tens and unit to decide if the number is or not divisible by 7. For example 4791 is divisible by 7 because 4+7+9+1=21 and 21 is in the 7 times table

By Omar Hussain 6S :) :)

silver:

rule for 9:

to find the test of divisibility for 9 you need to add all the factors together for example:

198 1+9+8=18

after you have done that find out if the number is in the 9 x table 18 is in the 9 x table because 18 divided by 9 =2.But if you had the number 215 it would not be divisible by 9 because 2+1+5=8 6 is not in the 9 x table because the first number of the 9 x table is 9.

silver

rule for 9

To find out if a number is divisible by nine you need to add all the digits together.45 is divisible by nine because it is in the nine times table and if you add all the digits together like this 4+5=9 it equals nine.725 0n the other hand, is not divisible by nine because when you add all the digits together it equals 7+2+5=14. 14 is not a multiple of nine.

Gold:

The test of divisibility for the 11 times table.If you sum every second digits and if the answer is 11 or 0 it is divisible by 11.For example: 3542 is divisible by 11 because 3(the first number)add 4(the third number)=7 and 5(the second number number)add 2(the forth number)=7 so 7-7=0 so it is divisible by 11 because it ends with either 0 or 11.7271 is divisible by 11 because 7(the first number)add 7(the third number)=14 and 2(the second number number)add 1(the forth number)=3 so 14-3=11 so it is divisible by 11 because it ends with either 0 or 11.6219 is not divisible by 11 because 6(the first number)add 1(the third number)=7 and 2(the second number number)add 9(the forth number)=11 so 11-7=4 because it doesn’t equal 11 or 0 so it is not divisible by 11.

Divisibility for 8 times table.The last three digits must be divisible by 8.For example: 109816 is because 816(the last three digits) dived by 8 equal 102 and it is a whole number.216302 is not because 302(the last three digits) divided by 8 equal 37.75 and it is not a whole number.

:)(heart)(hug)(cool)

:)

SILVER:

RULE FOR SEVEN..

If you want to know the divisibility test for seven then read on and find out. First you look at the last number and double it. then you take that number away from the number that you doubled, and if the answer you got is divisible by seven then the number is also divisible by seven.

For Example: 777, double 7 =14 and 77-14=63, and 63 is divisible by 7. So that means 777 is divisible by 7.

Thank you for reading and I hope you have learnt something

Khadira Riaz(✿◠‿◠)

SILVER :):

rule for 6

If you doing a test of divisibility for 6 it has to be in the 3 and 2x time table so all the numbers should be even. For example 34 is even but is it in the 3x times table? If you want to find it out use the test divisibility of 3 so 34 is not a multiple of 3. I know this because I added it so for example;3+4=7. So it not a multiple of 6.

FROM SABIREN…. :) :)

SILVER:

RULE FOR NINE

For a number to be divisible by 9 you have to add the digits and if they equal 9 then it is divisible by 9 if not then they are not divisible by 9.FOR example 18 is divisible by 9 because 1+8=9 but 73 ain’t because 7+3=10. That is how you find out if a number is divisible by 9. ;)

Thanks Bilal. You’re the first one! :)

Remember, “ain’t” isn’t a word though! We want to sound like grown up Mathematicians when we write about Maths.

Also, what did you think about the videos?

Were they clear and easy to follow?

Do you think someone in a younger group or someone’s parents could follow them?