Write the prime factorization of 65. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Question
Write the prime factorization of 65. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit
Solution
The prime factorization of 65 is done as follows:
- Start by finding the smallest prime number (which is 2) that can divide 65. In this case, 2 cannot divide 65 evenly.
- Move to the next prime number, which is 3. 3 also cannot divide 65 evenly.
- Continue this process until you find a prime number that can divide 65 evenly. In this case, the prime number is 5. So, divide 65 by 5. The quotient is 13.
- Now, check if 13 can be divided evenly by any prime number. It can't because 13 is a prime number itself.
- Therefore, the prime factorization of 65 is 5 x 13.
Since both 5 and 13 are prime numbers and there are no exponents involved, the prime factorization of 65 is simply 5 x 13.
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