In 4th grade factors and multiples worksheet we will find the factors of a number by using multiplication method, find the even and odd numbers, find the prime numbers and composite numbers, find the prime factors, find the common factors, find the HCF (highest common factors, find the hcf by short division method, find the hcf by long division method, find the multiples, find the common multiples, find the least common multiple, find the lcm by division method, word problems on lcm and hcf.

**I. Find the missing digits:**

(i) The number 4___0 is divisible by 3.

(ii) The number 389___ is divisible by 2.

(iii) The number 5___4 is divisible by 4.

(iv) The number 83___ is divisible by 9.

(v) The number 428___ is divisible by 10.

**II. Show the factors and common factors of 12 and 32 on the given Venn diagram.**

**III. Choose the right answer:**

(i) Eggs are packed in boxes of 6. Which of the following number of eggs would fill complete boxes?

(a) 7

(b) 14

(c) 12

(d) 28

(e) 24

(f) 25

(ii) There are 7 days in a week. Which of the following numbers of days form complete weeks?

(a) 12

(b) 14

(c) 17

(d) 23

(e) 2442

**IV. Which is the smallest 2 digit number having exactly four
factors?**

**V. Give first 3 multiples of the given number.**

(i) 7

(ii) 15

(iii) 9

(iv) 24

(v) 12

(vi) 18

**VI. Give all the factors of the given number.**

(i) 17

(ii) 50

(iii) 24

(iv) 27

(v) 36

(vi) 28

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

(i) 8 and 12

(ii) 9 and 15

(iii) 5 and 10

(iv) 6 and 7

**VIII. Express the given numbers as the product of prime
numbers.**

(i) 12

(ii) 27

(iii) 18

(iv) 32

(v) 72

(vi) 36

**IX. Circle the prime numbers in the given list.**

18 27 23 4 2 15 13 19 15 21 33 31

**X. Cross the odd numbers in the given box.**

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

(i) 10, 16

(ii) 60, 20

(iii) 27, 30

(iv) 60, 100

(v) 35, 49

(vi) 24, 56

**XII. Fill in the blanks:**

(i) The smallest prime number is ……………………

(ii) The numbers which have more than 2 factors are called …………………… numbers.

(iii) The thirds multiple of 7 is ……………………

(iv) The HCF of 2 prime numbers is ……………………

(v) Number …………………… is a factor of every number.

**Answers:**

**I.** (i) 2

(ii) 2

(iii) 2

(iv) 7

(v) 0

**II.**

**III.** (i) (e) 24

(ii) (b) 14

**IV.** 14

**V.** (i) 7, 14, 21

(ii) 15, 30, 45

(iii) 9, 18, 27

(iv) 24, 48, 72

(v) 12, 24, 36

(vi) 18, 36, 54

**VI.** (i) 1, 17

(ii) 1, 2, 5, 10, 25, 50

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

(iv) 1, 3, 9, 27

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

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

**VII.** (i) 24

(ii) 45

(iii) 10

(iv) 42

**VIII.** (i) 2 × 2 × 3

(ii) 3 × 3 × 3

(iii) 2 × 3 × 3

(iv) 2 × 2 × 2 × 2 × 2

(v) 2 × 2 × 2 × 3 × 3

(vi) 2 × 2 × 3 × 3

**IX.** 23, 2, 13, 19, 31

**X.** 13, 67, 11, 29, 57, 35, 19, 121, 467, 703, 819

**XI.** (i) 2

(ii) 20

(iii) 3

(iv) 20

(v) 7

(vi) 8

**XII.** (i) 2

(ii) composite

(iii) 21

(iv) prime

(v) 1

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