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Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

Question

Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

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Solution

The prime factorization of 18 is done as follows:

  1. Start by dividing the number 18 with the smallest prime number, which is 2. 18 divided by 2 is 9.
  2. Now, try dividing 9 by 2. It is not possible because 9 is not an even number. So, proceed to the next prime number, which is 3. 9 divided by 3 is 3.
  3. Finally, divide 3 by 3 and you get 1. Once you reach 1, the process is complete.

So, the prime factorization of 18 is 2 * 3^2.

This problem has been solved

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