Question: Find the prime factorization of 36 .
A ) 22 × 31
B ) 21 × 32
C ) 23 × 32
D ) 22 × 32
Steps to derive
1 The factor tree of 36 is:
[36 = 6 × 6, 6 = 3 × 2]
2 The circled numbers in the factor tree are the prime factors of 36.
3 36 = 3 × 2 × 3 × 2
[Write in the form of exponents.]
4 36 = 22 × 32
5 The prime factorization of 36 is 22 × 32.
Hence the right answer is Option D
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