primary maths

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Ways to Check for Divisibility
Divisibility Rules

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Dividing By 1
• All numbers are divisible by 1
Eg- 23,124,87,93 etc

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Now You Try
Are these numbers divisible by
1?
a) 578
b) 398
c) 48
d) 1903
e) 490

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Dividing by 2
• All even numbers are divisible by 2
• Even numbers are numbers that end with
either 2, 4, 6, 8, or 0
Eg- 24,32,46,58,60

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Now You Try
Are these numbers divisible by 2?
a) 458
b) 1279
c) 759
d) 555
e) 1050

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Dividing by 3
• Add up the digits of the number
• If that number is divisible by 3, then the
original number is
• If your sum is still a big number, continue
to add the digits
Eg-333,45,234893

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Dividing by 3
3
7 8
• For example, take the number
If that number is divisible by 3, then the original number is
If your sum is still a big number, continue to add the digits
Add up the digits of the number
7 + 3 + 8 = 18
Is 18 divisible by 3?
1 + 8 = 9 Is 9 divisible by 3?

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Now You Try
Are these numbers divisible
by 3?
a) 639
b) 56
c) 86
d) 360
e) 468

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Dividing by 4
• If the last 2 digits together are divisible by 4
Eg-44,324,512,628 etc

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Now You Try
Are these numbers divisible
by 4?
a) 584
b) 261
c) 56
d) 920
e) 767

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Dividing by 5
• If the number ends in 5 or 0
Eg-85,100,25,18765 etc

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Now You Try
Are these numbers divisible by 5?
a) 554
b) 6890
c) 345
d) 902
e) 845

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Dividing by 6
• If the number is divisible by 2, and . . .
• If the number is divisible by 3

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Now You Try
Are these numbers divisible by 6?
a) 897
b) 258
c) 630
d) 345
e) 84

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Dividing by 7

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Now You Try
Are these numbers divisible by 7?
a) 578
b) 398
c) 48
d) 1903
e) 490

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Dividing by 8
• If the last three digits are divisible by 8
• If the number is divisible by 2,
– then by 2 again, and then by 2 again
So what type of number does it have to be?

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Now You Try
Are these numbers divisible by 8?
a) 568
b) 396
c) 48
d) 1903
e) 490

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Dividing by 9
• Similar to dividing by 3
• Add up digits
• If that number is divisible by 9 then your
number is divisible by 9

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Dividing by 9
If that number is divisible by 3, then the original number is
If your sum is still a big number, continue to add the digits
Add up the digits of the number
27
Is 27 divisible by 9?
2 + 7 = 9 Is 9 divisible by 9?
• For example, take the number 924,561
9 + 2 + 4 + 6 +
5 + 1 =

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Now You Try
Are these numbers divisible by 9?
a) 578
b) 398
c) 48
d) 1903
e) 490

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Dividing by 10
• If the number ends with a 0
Eg-40,360,958670 etc

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Now You Try
Are these numbers divisible by
10?
a) 578
b) 398
c) 48
d) 1903
e) 490

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Dividing by 11

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Now You Try
Are these numbers divisible by
11?
a) 578
b) 398
c) 48
d) 1903
e) 490

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REVIEW
• Divisible by 1
• Divisible by 2
• Divisible by 3
• Divisible by 4
• Divisible by 5
• Divisible by 6
• Divisible by 6
• Divisible by 8
• Divisible by 9
• Divisible by 10
• Divisible by 11

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Assignment
Tell what each number is divisible by, either 2, 3,
4, 5, 6, 7, 8, 9, 10, or 11
1) 186
2) 85
3) 69
4) 298
5) 747
11) 3870
12) 7896
13) 69095
14) 4892
15) 3487
6) 952
7) 3650
8) 2738
9) 1132
10)5084

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Thanks
Submitted by
Rakesh
Delhi

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