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Write the prime factorization of 62. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

Question

Write the prime factorization of 62. 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 62 is done by dividing the number by prime numbers. Here are the steps:

  1. Start by dividing 62 by the smallest prime number, which is 2. 62 divided by 2 equals 31.

  2. Now, try to divide 31 by 2. It can't be divided evenly.

  3. Move to the next prime number, which is 3. 31 can't be divided by 3 evenly.

  4. Continue this process with the next prime numbers (5, 7, 11, 13, 17, 19, 23, 29) until you find one that can divide 31 evenly. In this case, 31 is a prime number itself.

So, the prime factorization of 62 is 2 x 31. Since both 2 and 31 are prime numbers and there are no exponents, this is the final answer.

This problem has been solved

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