Q: What are the prime factors of the number 64,332,645?

 A: 3, 5, 13, 173, 1907

Why are those the prime factors of the number 64,332,645?

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 64,332,645

64,332,645
Factor Arrows
321,444,215
Factor Arrows
54,288,843
Factor Arrows
13329,911
Factor Arrows
1731,907

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, 5, 13, 173, 1907

We can check our work by multiplying all of the prime factors together: 3 x 5 x 13 x 173 x 1,907 = 64,332,645

This can also be written as 31 x 51 x 131 x 1731 x 1,9071 = 64,332,645

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


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