SChand New Learning Composite Mathematics Class 6 Chapter 3 Playing With Numbers Exercise 3E

Exercise 3E

Question 1

(a) 24=3×2×2×2

=3×2³

(b) 36=2×2×3×3

=2²×3²

(c) 210=2×3×5×7

(d) 180=2×2×3×3×5

=2²×3²×5

(e) 300=2²×3×5²

Question 2

(a) 32 =2⁵

(b) 48= 2⁴ x3

(c) 66= 2x 3x 11

(d) 72= 2³ x 3²

(e) 84= 2² x 3x 7

(f) 100= 2² x5²

(g) 840= 2³x 2 x 5 x 7

(h) 504 = 2³ x 3² x7

(i) 2904= 2³ x 3 x 11²

(j) 13845= 3⁴ x 5x 7²

Question 3

343= 7³

Question 4

(a) When all the factors are prime and their product is the original number.

(b) Prime factors of a number are all prime numbers where the factors of a number do not have to be prime.