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Find the prime factorization of 36

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Answer to a math question Find the prime factorization of 36

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Hermann
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128 Answers
1. Start by dividing 36 by the smallest prime number:
36 \div 2 = 18

2. Next, divide the result by the smallest prime number again:
18 \div 2 = 9

3. Since 9 is not divisible by 2, proceed with the next smallest prime number:
9 \div 3 = 3

4. Finally, divide the remaining 3 by itself:
3 \div 3 = 1

So, the prime factorization of 36 is:
36 = 2^2 \times 3^2

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