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Write the prime factorization of 108. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

Question

Write the prime factorization of 108. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

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Solution

Step 1: Start by finding the smallest prime number (which is 2) that can divide 108.

Step 2: Divide 108 by 2, which gives you 54.

Step 3: Continue dividing by 2 until you can't divide evenly anymore. So, divide 54 by 2 to get 27.

Step 4: Now, 27 can't be divided by 2, so we move to the next prime number, which is 3. Divide 27 by 3 to get 9.

Step 5: Continue dividing by 3 until you can't divide evenly anymore. So, divide 9 by 3 to get 3.

Step 6: Finally, divide 3 by 3 to get 1.

So, the prime factorization of 108 is 2^2 * 3^3.

This problem has been solved

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