In 5th Grade Factors and Multiples Worksheets we will find the multiples of a given number, find the prime factors of a number, HCF of co-prime number, LCM of two co-prime numbers, HCF of two co-prime numbers, common multiples of three numbers, word problems on LCM and word problems on HCF.

**I. Write the first three multiples of the given numbers.**

(i) 4

(ii) 7

(iii) 13

**II. Find the prime factor of 84.**

**III. Find the number:**

(i) A multiple of 7 which lies between 30 and 40.

(ii) A multiple of 5 and 2 which is 2 more than the third multiple of 6.

(iii) A multiple of 3 and 5 greater than 42 but less than 47.

(iv) 2 digit prime number less than 47. The product of my digits is 21.

(v) Multiple of 3 but not of 6 and 9 greater than 22 but less than 37.

(vi) Two digit odd composite number. Sum of my digits is 12 and I am greater than 89.

**IV. Fill in the
blanks:**

(i) 3 × 5 = 15. Here 3 and 5 are …………… of 15.

(ii) 6 × 7 = 42. Here 42 is the …………… of 6 and 7.

(iii) The numbers with only 2 factors are called …………… numbers.

(iv) The HCF of co-prime number is ……………

(v) A number can have …………… multiples.

(vi) LCM of two co-prime numbers is their ……………

(vii) HCF of two or more numbers always …………… their LCM.

**V. Find the HCF of the given numbers.**

(i) 15 and 20

(ii) 24, 36 and 42

(iii) 36 and 170

(iv) 90, 108 and 126

**VI.** Write the prime numbers between 11- 30.

**VII.** Find the common multiples of 2, 8 and 12.

**VIII.** Check the divisibility of given numbers.

(i) 86, 190 by 3

(ii) 47, 815 by 3

(iii) 2, 37, 405 by 11

(iv) 81, 620 by 4

**IX.** Find the LCM of the given numbers.

(i) 42 and 84

(ii) 55 and 105

(iii) 32 and 124

(iv) 35, 25 and 15

(v) 80, 140 and 200

**X.** The LCM of 25 and 65 is 325. Find their HCF.

**XI.** The LCM of two numbers is 1344 and their HCF is 4. If one of the numbers is 84, find the other number.

**XII.** Sam visits the library every fourth day and Ron every sixth day. Find out days on which both meet in the library in the month of April.

Answers on 5th Grade Factors and Multiples Worksheets are given below to check the exact answers of the questions.

**Answers:**

**I.** (i) 4, 8 , 12

(ii) 7, 14, 21

(iii) 13, 26, 39

**II.** 2 × 2 × 3 × 7

**III.** (i) 35

(ii) 20

(iii) 45

(iv) 37

(v) 33

(vi) 93

**IV.** (i) factors

(ii) multiple

(iii) prime

(iv) 1

(v) many

(vi) product

(vii) divides

**V.** (i) 5

(ii) 6

(iii) 2

(iv) 18

**VI.** 13, 17, 19, 23, 29

**VII.** 24

**VIII.** (i) divisible

(ii) divisible

(iii) not divisible

(iv) divisible

**IX.** (i) 84

(ii) 1155

(iii) 992

(iv) 525

(v) 2800

**X.** 5

**XI.** 64

**XII.** 12^{th} day and 24^{th} day

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