Question

Express as the product of primes: (a) 768 (b) 1248 (c) 999 (d) 1056

Answer 1

Answer:

(a):

768 is even , so let's start by dividing it by 2.

768 = 2 X 384

= 2 X 2 X 192

= 2 X 2 X 2 X 96

= 2 X 2 X 2 X 2 X 48

= 2 X 2 X 2 X 2 X 2 X 24

= 2 X 2 X 2 X 2 X 2 X 2 X 12

= 2 X 2 X 2 X 2 X 2 X 2 X 2 X 6

= 2 X 2 X 2 X 2 X 2 X 2 X 2 X 2 X 3

Since, the end number is a prime number, the prime factorisation is complete.

768 = 2^8 X 3