Q: What are the prime factors of the number 65,614,634?

 A: 2, 151, 167, 1301

Why are those the prime factors of the number 65,614,634?

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 65,614,634

65,614,634
Factor Arrows
232,807,317
Factor Arrows
151217,267
Factor Arrows
1671,301

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:

2, 151, 167, 1301

We can check our work by multiplying all of the prime factors together: 2 x 151 x 167 x 1,301 = 65,614,634

This can also be written as 21 x 1511 x 1671 x 1,3011 = 65,614,634

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


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