What Is The Prime Factorization Of 72? - Testpoint

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What is the prime factorization of 72?

2^2 × 3^3
2^3 ×3^2
2×3 ^4
3^2 ×5^2

Explanation

The prime factorization of 72 involves dividing it by its smallest prime factor repeatedly:

$72 div 2 = 36$
$36 div 2 = 18$
$18 div 2 = 9$
$9 div 3 = 3$
$3 div 3 = 1$

So, $72 = 2^{3} \times 3^{2}$

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