Question

Fill the missing factors from the follwoing options
2 × 2 × 2 × 2 × are the prime factors of 96.

• A. 6
• B. 2 × 3
• C. 2 × 6
• D. 3 × 2 × 2

Answer 1

The correct option is B 2 × 3

Let's solve this using factor tree method:

Factors of 96 by prime factorization method:

Step 1: Write the pair of factors, which on multiplication gives the required number.
96 = 2 × 48

Step 2: See the factors, whether each one of them is prime or not.

48 is not a prime number and can be dissociated as a product of 2 by 24.
24 is not a prime number and can be dissociated as a product of 2 by 12 and 12 can be dissociated as 2 × 2 × 3.

Step 3: As per the criteria, 96 can be written as
96 = 2 × 48
= 2 × 2 × 24
=2 × 2 × 2 × 12
= 2 × 2 × 2 × 2 × 2 × 3.
So, prime factorization of 96
= 2 × 2 × 2 × 2 × 2 × 3.