# Factors and Multiples Class 6 Worksheets

Please check Solutions of Factors and Multiples Class 6 Worksheets at the end of the questions. 1. Check whether 6243 is divisible by 2 ?
a) Yes
b) No

2. Check whether 21245 is divisible by 3 ?

a) Yes
b) No

3. Check whether 71012 is divisible by 4 ?

a) Yes
b) No

4. Check whether 32390 is divisible by 5 ?

a) Yes
b) No

5. Check whether 95474 is divisible by 6 ?
a) Yes
b) No

6. Check whether 675657 is divisible by 8 ?
a) Yes
b) No

7. Check whether 35425 is divisible by 9 ?

a) Yes
b) No

8. Check whether 30171 is divisible by 10 ?
a) Yes
b) No

9. Check whether 73920 is divisible by 11 ?
a) Yes
b) No

10. Fill the digit in the blank space of the following number so that the number formed is divisible by 2?
239_

a) 5
b) 8
c) 9
d) 7

11. Fill the digit in the blank space of the following number so that the number formed is divisible by 3?
467_312

a) 5
b) 6
c) 0
d) 4

12. Fill the digit in the blank space of the following number so that the number formed is divisible by 5?
653_

a) 4
b) 5
c) 8
d) 6

13. Fill the digit in the blank space of the following number so that the number formed is divisible by 10?
624_

a) 3
b) 6
c) 5
d) 0

14. Write the digit in the blank space of the following number so that the number formed is divisible by 11?
15_37

a) 4
b) 7
c) 0
d) 5

15. Which of the following is an even number?

a) 16
b) 11
c) 37
d) 29

16. Which of the following is an odd number?

a) 14
b) 7
c) 12
d) 4

17. Which of the following is prime number?

a) 10
b) 3
c) 4
d) 9

18. Which of the following is composite number?

a) 41
b) 29
c) 36
d) 31

### Factors and Multiples Class 6 Worksheets – Solutions

Factors and Multiples Class 6 Worksheets – Solution 1

A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In,6243
3 is at ones place
and 3 is not divisible by 2
So,6243 is not divisible by 2

Factors and Multiples Class 6 Worksheets – Solution 2

A number is divisible by 3, if the sum of all the digits of the numbers are divisible by 3.
In, 21245
Sum of its digits = 2 + 1 + 2 + 4 + 5 = 14
and 14 is not divisible by 3
So, 21245 is not divisible by 3

Factors and Multiples Class 6 Worksheets – Solution 3

A number is divisible by 4, if the number formed by last 2 digits of that number (ones and tens place) is divisible by 4.
In, 71012
12 is the number formed by tens and ones place.
and 12 is divisible by 4
Therefore, 71012 is also divisible by 4

Factors and Multiples Class 6 Worksheets – Solution 4

A number is divisible by 5 if the digit at ones place is either “0” or” 5″.
In, 32390
0 is the digit at ones place.
So, 32390 is divisible by 5

Factors and Multiples Class 6 Worksheets – Solution 5

A number is divisible by 6, if it is divisible by both 2 and 3.
Checking Divisibility for 2,
A number is divisible by 2, if the digits at ones place is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.

In, 95474
4 is at ones place
and 4 is divisible by 2
So, 95474 is also divisible by 2
Checking Divisibility for 3,
A number is divisible by 3, if the sum of all the digits of the numbers , is divisible by 3.
In, 95474
Sum of its digits = 9 + 5 + 4 + 7 + 4 = 29
and 29 is not divisible by 3
So, 95474 is not divisible by 3

Therefore, 95474 is divisible by 2 but not divisible by 3
Hence, 95474 is not divisible by 6

Factors and Multiples Class 6 Worksheets – Solution 6

A number is divisible by 8, if the number formed by last 3 digits of that number (ones, tens and hundreds place) is divisible by 8
In, 675657
657 is the number formed by ones, tens, and hundreds place digits or the number formed by last 3 digits
and 657 is not divisible by 8
Hence, 675657 is not divisible by 8

Factors and Multiples Class 6 Worksheets – Solution 7

A number is divisible by 9, if the sum of all the digits of the numbers is divisible by 9.
In, 35425
Sum of its digits = 3 + 5 + 4 + 2 + 5 = 19
and 19 is not divisible by 9
So, 35425 is not divisible by 9

Factors and Multiples Class 6 Worksheets – Solution 8

A number is divisible by 10 if the digit at ones place is 0.
In, 30171
1 is at ones place.
So, 30171 is not divisible by 10

Factors and Multiples Class 6 Worksheets – Solution 9

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.
In, the given number 73920
Sum of the digits at even places:
2 + 3 = 5
Sum of the digits at odd places:
0 + 9 + 7 = 16
Difference between sum of digits at even and odd places = 16 – 5 = 11 ( Which is divisible by 11 )
Therefore, 73920 is also divisible by 11

Factors and Multiples Class 6 Worksheets – Solution 10

A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In,239_
If the missing digit is 8
then, the number would be divisible by 2
i.e 2398 is divisible by 2
Therefore, 8 is the digit, which should be filled in blank space to form a number which is divisible by 2.

Factors and Multiples Class 6 Worksheets – Solution 11

A number is divisible by 3, if the sum of all the digits of the numbers are divisible by 3.
In, 467_312
Sum of given digits = 4 + 6 + 7 + 3 + 1 + 2 = 23
23 + 5 = 28 which is not divisible by 3
23 + 6 = 29 which is not divisible by 3
23 + 0 = 23 which is not divisible by 3
23 + 4 = 27 which is divisible by 3
Hence, the only sum which is divisible by 3 is 23 + 4 = 27
i.e, 4674312 is the number which is divisible by 3
Therefore, 4 is the digit, which should be filled in blank space to form a number which is divisible by 3.

Factors and Multiples Class 6 Worksheets – Solution 12

A number is divisible by 5 if the digit at ones place is either “0” or” 5″.
In,653_
If the missing digit is 5
then, the number would be divisible by 5
i.e 6535 is divisible by 5
Therefore, 5 is the digit, which should be filled in blank space to form a number which is divisible by 5.

Factors and Multiples Class 6 Worksheets – Solution 13

A number is divisible by 10 if the digit at ones place is 0.
In,624 _
If the missing digit is 0
then, the number would be divisible by 10
i.e 6240 is divisible by 10
Therefore, 0 is the digit, which should be filled in blank space to form a number which is divisible by 10.

Factors and Multiples Class 6 Worksheets – Solution 14

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.
In, 15_37
Sum of the digits at even places:
3 + 5 = 8
Sum of the digits at odd places:
7 + 1 = 8
As the blank is at odd place
Difference between sum of digits at even and odd places = 8 – 8 = 0
So, if the number in the blank space is 0
then, the difference will be 0
and the number would be divisible by 11 since the difference between the sum of the digits at odd place and the digits at even place would be 0
i.e, 15037
Therefore, 0 is the digit, which should be filled in blank space to form a number which is divisible by 11.

Factors and Multiples Class 6 Worksheets – Solution 15

Numbers which are divisible by 2 are known as Even numbers.
A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In present case, 16 is divisible by 2
Therefore, 16 is an even number.

Factors and Multiples Class 6 Worksheets – Solution 16

Numbers which are not divisible by 2 are known as odd numbers.
A number is divisible by 2, if the digit at ones place of that number is divisible by 2 or digit at ones place is 0, 2, 4, 6, 8.
In other words, if the digit at ones place is 1, 3, 5, 7, 9, it would not be divisible by 2
In present case, 7 is not divisible by 2
Therefore, 7 is an odd number.

Factors and Multiples Class 6 Worksheets – Solution 17

Prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself
In other words, we can say prime numbers don’t have any factor other than 1 and itself.

Factors of 10 are 5 x 2
Factors of 3 are 3 x 1
Factors of 4 are 2 x 2
Factors of 9 are 3 x 3

Here, Factors of 3 are 3 x 1
3 is not divisible by any other number, other than 1 and itself
therefore, 3 is prime number.

Factors and Multiples Class 6 Worksheets – Solution 18

Composite numbers are divisible by one or more numbers other than 1 and itself.
In other words, we can say that numbers having more than two factors are composite numbers.

Factors of 41 are 41 x 1
Factors of 29 are 29 x 1
Factors of 36 are 2 x 2 x 3 x 3
Factors of 31 are 31 x 1

Here, Factors of 36 are 2 x 2 x 3 x 3
36 is divisible by 1 , 2 , 3 , 4 , 6 , 12 , 18 , 36
Factors of 36 are 1 , 2 , 3 , 4 , 6 , 12 , 18 , 36
therefore, 36 is composite number.