Worksheet on multiples and factors contains various types of questions. We know, 1 is a factor of every number. And, a multiple of a number is always greater than or equal to the number. We have the basic ideas about multiples, factors, prime numbers and composite numbers. Let us work on the following questions on multiples and factors to recall of what we have learnt.

**I. Answer the following question:**

(i) Write first twelve multiples of 5.

(ii) Is 1 a prime number or composite number?

(iii) Is there an even prime number?

**II. Which of the following numbers are prime:**

(i) 2 (ii) 6

(iii) 11 (iv) 15

(v) 39 (vi) 93

(vii) 57 (viii) 75

(ix) 81 (x) 87

**III. Fill in the
blanks:**

(i) 1 is a ________ number.

(ii) The smallest composite number is ________.

(iii) The smallest natural number is ________.

(iv) The smallest whole number is ________.

(v) The first 3 multiples of 12 are ________.

(vi) 3, 7, 9, 15, 25 are ________ numbers.

(vii) ________ is a factor of every number.

(viii) ________ is a factor of every even number.

(ix) A ________ number has only 2 factors one and the number itself.

(x) A composite number has more than ________ factors.

(xi) The factors of 6 are ________.

(xii) A number is a factor of another number if on dividing the ________ is zero.

**IV. Write all the factors of:**

(i) 18

(ii) 20

(iii) 14

(iv) 23

**V. Find prime
factors of the following:**

(i) 786 (ii) 256

(iii) 324 (iv) 546

(v) 484 (vi) 117

**VI. Find the factors of the given number using factor tree
method.**

(i) 15

(ii) 36

(iii) 30

(iv) 48

**VII. Find out if the first number is a factor of the second number.**

(i) 15, 180

(ii) 16, 112

(iii) 22, 133

(iv) 25, 230

**VIII. Complete the given multiplication grid.**

(i) Find all the multiples of 3 yellow.

(ii) Circle all the even numbers greater than 50 but less than 80.

(iii) Write first 5 multiples of 7, 8 and 11.

(iv) Is 7 a factor of 35?

(v) Is 11 a factor of 47?

(vi) Is 9 a factor of 72?

Answers for the worksheet on multiples and factors are given below.

**Answers:**

**I.** (i) 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60

(ii) 1 is neither a prime number nor a composite number.

(iii) Yes, 2 is an even prime number.

**II.** (i) 2 and (iii) 11

**III.** (i) unique

(ii) 4

(iii) 1

(iv) 0

(v) 12, 24, 36

(vi) odd

(vii) 1

(viii) 2

(ix) prime

(x) two

(xi) 1, 2, 3, 6

(xii) remainder

**IV.** (i) 1, 2, 3, 6, 9, 18

(ii) 1, 2, 4, 5, 10, 20

(iii) 1, 2, 7, 14

(iv) 1, 23

**V.** (i) 786 2, 3 and 131

(ii) 2, 2, 2, 2, 2, 2, 2 and 2

(iii) 2, 2, 3, 3, 3 and 3

(iv) 2, 3, 7 and 13

(v) 2, 2, 11 and 11

(vi) 3, 3 and 13

**VI.** (i)

(ii)

(iii)

(iv)

**VII.** (i) 15 is a factor of 180

(ii) 16 is a factor of 112

(iii) 22 is not a factor of 133

(iv) 25 is not a factor of 230

**VIII.** (i) 3 ,6, 9, 12, 18, 15, 21, 24, 27, 30, 33, 36, 42, 45, 48, 54, 60, 63, 66, 72, 81, 90, 99

(ii) 54, 56, 60, 66, 64, 70, 72.

(iii) First 5 multiples of 7 are: 7, 14, 21, 28, 35.

First 5 multiples of 8 are: 8, 16, 24, 32, 40.

First 5 multiples of 11 are: 11, 22, 33, 44, 55.

(iv) Yes, 7 is a factor of 35. [Since, 7 × 5 = 35]

(v) 11 is not a factor of 47. [Since, 47 is not divisible by 11]

(vi) Yes, 9 is a factor of 72. [Since, 9 × 8 = 72]

**● ****Factors.**

**Common Factors.****Prime Factors.****Repeated Prime Factors.****Highest Common Factor (H.C.F).****Examples on Highest Common Factor (H.C.F).****Greatest Common Factor (G.C.F).****Examples of Greatest Common Factor (G.C.F).****Prime Factorisation.****To find Highest Common Factor by using Prime Factorization Method.****Examples to find Highest Common Factor by using Prime Factorization Method.****To find Highest Common Factor by using Division Method.****Examples to find Highest Common Factor of two numbers by using Division Method.****To find the Highest Common Factor of three numbers by using Division Method.**

**Common Multiples.****Least Common Multiple (L.C.M).****To find Least Common Multiple by using Prime Factorization Method.****Examples to find Least Common Multiple by using Prime Factorization Method.****To Find Lowest Common Multiple by using Division Method****Examples to find Least Common Multiple of two numbers by using Division Method.****Examples to find Least Common Multiple of three numbers by using Division Method.****Relationship between H.C.F. and L.C.M.****Worksheet on H.C.F. and L.C.M.****Word problems on H.C.F. and L.C.M.****Worksheet on word problems on H.C.F. and L.C.M.**

**5th Grade Math Problems **

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