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Write the prime factorization of 45. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Question

Write the prime factorization of 45. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

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Solution

Sure, here is the prime factorization of 45:

  1. First, we find the smallest prime number, which is 2. But 45 is not divisible by 2. So, we move to the next prime number, which is 3.
  2. We find that 45 is divisible by 3. So, we divide 45 by 3, which gives us 15.
  3. Now, we try to divide 15 by 3 again. It is divisible, so we divide 15 by 3, which gives us 5.
  4. Now, we try to divide 5 by the next prime number, which is 5. It is divisible, so we divide 5 by 5, which gives us 1.
  5. Now, we have reached 1, so we stop.

Therefore, the prime factorization of 45 is 3^2 * 5.

This problem has been solved

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