Q: What are the prime factors of the number 765,544,064?

 A: 2, 349, 17137

Why are those the prime factors of the number 765,544,064?

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 765,544,064

765,544,064
Factor Arrows
2382,772,032
Factor Arrows
2191,386,016
Factor Arrows
295,693,008
Factor Arrows
247,846,504
Factor Arrows
223,923,252
Factor Arrows
211,961,626
Factor Arrows
25,980,813
Factor Arrows
34917,137

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, 349, 17137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 349 x 17,137 = 765,544,064

This can also be written as 27 x 3491 x 17,1371 = 765,544,064

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


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