Worksheet on Factors

In worksheet on factors of the numbers, all grade students can practice the questions on factors. This exercise sheet on factors can be practiced by the students to get more ideas to find the factors of the number.

1. Find all the factors of:

(i) 36

(ii) 19

(iii) 20 

(iv) 25

2. Find all the factors of the given numbers.

(i) 8

(ii) 24

(iii) 10

(iv) 30

(v) 15

(vi) 36

(vii) 16

(viii) 28

(ix) 23

(x) 21


3. Write any two factors of:

(i) 18

(ii) 22

(iii) 26

(iv) 31


4. Check if:

(i) 7 a factor of 44

(ii) 10 a factor of 20

(iii) 0 a factor of 25

(iv) 8 a factor of 56


5. Write the smallest two-digit number that has:

(i) 2, 3 and 7 as factors

(ii) 2, 4 and 5 as factors

(iii) 7 and 8 as factors


6. Write ‘YES’ if the first number is the factor of the second number else write ‘NO’.

(i) 5, 45

(ii) 15, 275

(iii) 8, 140

(iv) 11, 363

(v) 12, 150

(vi) 13, 143


7. Find if 15 is a factor of 90.

8. Find if 17 is a factor of 51.

9. Which of the following are not factors of 12?

    1, 2, 3, 4, 6, 8, 10, 12


10. Which of the following are not factors of 18?

    1, 2, 3, 4, 6, 8, 9, 10, 12, 18


11. Complete the picture by filling and matching the factor pair.

(i) 24

Factor Pair of 24

(ii) 18

Factor Pair of 18

(iii) 22

Factor Pair of 22

(iv) 36

Factor Pair of 36



12. Match the numbers with their factors:

(i) 49

(ii) 18

(iii) 17

(iv) 50

(v) 22

1. 17

2. 10

3. 7

4. 3

5. 11


13. Fill in the blanks:

(i) The smallest factor of every number is …………………..

(ii) The greatest factor of 32 is …………………..

(iii) 2 is the factor of all ………………….. (even/odd) numbers.

(iv) 5 × 6 = 30. Hence 5 and 6 are the ………………….. of 30.

(v) ………………….. has only one factor.


14. Choose the right answer:

(i) The smallest factor of 9 is:

(a) 9

(b) 3

(c) 6

(d) 1


(ii) The number which is not a factor of is:

(a) 1

(b) 3

(c) 4

(d) 5


(iii) The number which is a factor of 23 is:

(a) 2

(b) 23

(c) 24

(d) 25


(iv) The largest factor of 34 is:

(a) 0

(b) 68

(c) 17

(d) 34


15. Choose the right answer and fill in the blank:

Number 17 has only ………………….. factors.

(i) 2

(ii) 3

(iii) 4

(iv) 5


Answers:


1. (i) 1, 2, 3, 4, 6, 9, 12, 18, and 36.

(ii) 1 and 19.

(iii) 1, 2, 4, 5, 10, and 20.

(iv) 1, 5, and 25


2. (i) 1, 2, 4, 8

(ii) 1, 2, 3, 4, 6, 8, 12, 24

(iii) 1, 2, 5, 10

(iv) 1, 2, 3, 5, 6, 10, 15, 30

(v) 1, 3, 5, 15

(vi) 1, 2, 3, 4, 6, 9, 12, 18, 36

(vii) 1, 2, 4, 8, 16

(viii) 1, 2, 4, 7, 14, 28

(ix) 1, 23

(x) 1, 3, 7, 21


3. (i) 3, 9

(ii) 2, 11

(iii) 2, 13

(iv) 1, 31


4. (i) 7 is not a factor of 44

(ii) 10 is a factor of 20

(iii) 0 is not a factor of 25

(iv) 8 is a factor of 56


5. (i) 42

(ii) 40

(iii) 56


6. (i) YES

(ii) NO

(iii) NO

(iv) YES

(v) NO

(vi) YES


7. Yes 15 is a factor of 90; 15 x 6 = 90

9. 8, 10

8. Yes 17 is a factor of 51; 17 x 3 = 51

10. 4, 8, 10, 12

11. (i) 4, 6, 8

(ii) 2, 3, 6, 9

(iii) 2, 11

(iv) 2, 3, 4, 6, 6, 9, 12, 18


12. (i) 3

(ii) 4

(iii) 1

(iv) 2

(v) 5


13. (i) 1

(ii) 32

(iii) even

(iv) factors

(v) 1


14. (i) (d) 1

(ii) (c) 4

(iii) (b) 23

(iv) (d) 34


15. (i) 2

Worksheet on Factors

If students have any queries regarding the Worksheet on expanded form of a number questions please fill-up the comment box so that we can help you. However, suggestions for further improvement, from all quarters would be greatly appreciated.



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