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Write the prime factorization of 72. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

Question

Write the prime factorization of 72. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).

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Solution

The prime factorization of 72 can be found by dividing the number by the smallest prime number, which is 2.

  1. Divide 72 by 2, you get 36.
  2. Divide 36 by 2, you get 18.
  3. Divide 18 by 2, you get 9.
  4. Now, 9 cannot be divided by 2, so we move to the next prime number, which is 3. Divide 9 by 3, you get 3.
  5. Divide 3 by 3, you get 1.

So, the prime factorization of 72 is 2^3 * 3^2.

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