The DAV Class 6 Maths Book Solutions Pdf and **DAV Class 6 Maths Chapter 2 Worksheet 4 **Solutions of Factors and Multiples offer comprehensive answers to textbook questions.

## DAV Class 6 Maths Ch 2 WS 4 Solutions

Question 1.

Find the prime factorisation of the following:

(a) 78

Solution:

Prime factors of 78 = 2 × 3 × 13

(b) 120

Solution:

Prime factors of 120 = 2 × 2 × 2 × 3 × 5

(c) 256

Solution:

Prime factors of 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

(d) 84

Solution:

Prime factors of 84 = 2 × 2 × 3 × 7

(e) 441

Solution:

Prime factors of 441 = 3 × 3 × 7 × 7

(f) 240

Solution:

Prime factors of 240 = 2 × 2 × 2 × 2 × 3 × 5

(g) 2304

Solution:

Prime factors of 2304 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

(h) 3125

Solution:

Prime factors of 3125 = 5 × 5 × 5 × 5 × 5

(i) 1260

Solution:

Prime factors of 1260 = 2 × 2 × 3 × 3 × 5 × 7

Question 2.

Write the greatest 4 digit number. Express it as a product of primes.

Solution:

The greatest 4-digit number is 9999

Product of prime factors = 3 × 3 × 11 × 101.

Question 3.

Write the smallest 4 digit number and show its prime factorisation.

Solution:

4-digit smallest number is 1000

Prime factors of 1000 = 2 × 2 × 2 × 5 × 5 × 5.

Question 4.

Express each of the following numbers as sum of two odd primes:

(a) 18

Solution:

18 = 5 + 13

(b) 32

Solution:

32 = 13 + 19

(c) 66

Solution:

66 = 29 + 37

(d) 90

Solution:

90 = 53 + 37

Question 5.

Express the following as sum of three odd primes:

(a) 41

Solution:

41 = 3 + 7 + 31

(b) 23

Solution:

23 = 3 + 7 + 13

(c) 75

Solution:

75 = 3 + 11 + 61

(d) 59

Solution:

59 = 3 + 13 + 43