The DAV Class 5 Maths Book Solutions Pdf and **DAV Class 5 Maths Chapter 3 Worksheet 5** Solutions of Multiples and Factors offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 3 Worksheet 5 Solutions

Question 1.

Answer the following questions. The first one is done for you.

(a) Is 5 a factor of 36?

Solution:

No, 36 ÷ 5 = 7 and remainder = 1

(b) Is 7 a factor of 77?

Solution:

Yes; 77 ÷ 7 = 11 and Remainder = 0

(c) Is 8 a factor of 62?

Solution:

No; 62 ÷ 8 = 7 and remainder = 6

(d) Is 9 a factor of 70?

Solution:

No; 70 ÷ 9 = 7 and remainder = 7

(e) Is 12 a factor of 120?

Solution:

Yes; 120 ÷ 12 = 10 remainder = 0

(f) Is 15 a factor of 100?

Solution:

No; 100 ÷ 15 = 6 and remainder = 10

(g) Is 20 a factor of 140?

Solution:

Yes; 140 ÷ 20 = 7 and remainder = 0

(h) Is 6 a factor of 284?

Solution:

No; 284 ÷ 6 = 47 and remainder = 2

Question 2.

Fill in the blanks.

(a) 2 × 7 = 14 : 2 and ____ are the factors of 14.

Solution:

1

(b) 3 × 8 = 24 : ____ and 8 are factors of 24.

Solution:

3

(c) 5 × 7 = 35 : 5 and 7 are the factors of _____

Solution:

35

(d) 4 × 5 = 20 : 4 and 5 are the _____ of 20.

Solution:

factors

(e) 7 × 8 = 56 : 7 and ____ are the _____ of 56.

Solution:

8; factors

Question 3.

Write all the factors of the following numbers.

(a) 12

Solution:

Factors of 12 = 1, 2, 3, 4, 6, 12

(b) 32

Solution:

Factors of 32 = 1, 2, 4, 8, 16, 32

(c) 28

Solution:

Factors of 28 = 1, 2, 4, 7, 14, 28

(d) 35

Solution:

Factors of 35 = 1, 5, 7, 35

(e) 45

Solution:

Factors of 45 = 1, 3, 5, 9, 15, 45

(f) 60

Solution:

Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.

(g) 50

Solution:

Factors of 50 = 1, 2, 5, 10, 25, 50

(h) 72

Solution:

Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

(i) 96

Solution:

Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

(j) 84

Solution:

Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

(k) 88

Solution:

Factors of 88 = 1, 2, 4, 8, 11, 22, 44, 88

(l) 71

Solution:

Factors of 71 = 1, 71

**DAV Class 5 Maths Chapter 3 Worksheet 5 Notes**

If we divide 12 apples into different groups.

Each group should have an equal number of apples.

No apples should be left out.

Each grouping should be different.

Multiplication ⇒ 1 × 12 = 12

2 × 6 = 12

3 × 4 = 12

4 × 3 = 12

6 × 2 = 12

12 × 1 = 12

12 apples can be arranged in different groups having 12, 6, 4, 3, 2, and 1 apples.

1, 2, 3, 4, 6, and 12 are called the factors of 12.

If we divide 12 by each of its factors, the remainder will be zero.

To find the factors of a number, we divide the number by 1, 2, 3, 4, 5, 6, 7,……..

Example 1.

Find all the factors of 18

Solution:

Stop here as the same multiplication fact

3 × 6 = 18

6 × 3 = 18

So factors of 18 are 1 and 18; 2 and 9; 3 and 6. Thus 1, 2, 3, 6, 9, and 18 are factors of 18.

Another method: Multiplication facts of 18

So the factors of 18 are 1 and 18; 2 and 9; 3 and 6.

Or

1, 2, 3, 6, and 18 are the factors of 18.

1 is a factor of every number.

Every number is a factor of itself.