Question

Find the prime factorization of 36

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Hermann

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112 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

2. Next, divide the result by the smallest prime number again:

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

4. Finally, divide the remaining 3 by itself:

So, the prime factorization of 36 is:

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