Q: What are the prime factors of the number 65,727?

 A: 3, 67, 109

Why are those the prime factors of the number 65,727?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 65,727

65,727
Factor Arrows
321,909
Factor Arrows
37,303
Factor Arrows
67109

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 67, 109

We can check our work by multiplying all of the prime factors together: 3 x 3 x 67 x 109 = 65,727

This can also be written as 32 x 671 x 1091 = 65,727

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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