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Question: Find the prime factorization of 96.


A ) 32 × 24
B ) 31 × 23
C ) 31 × 25
D ) 32 × 25

Steps to derive

1 The factor tree of 96 is:
 [96 = 24 × 4, 24 = 6 × 4, 4 = 2 × 2, 6 = 3 × 2]


2 The circled numbers in the factor tree are the prime factors of 96.

3 96 = 3 × 2 × 2 × 2 × 2 × 2



Hence the right answer is Option C

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