Q: What are the prime factors of the number 540,635,688?

 A: 2, 3, 2502943

Why are those the prime factors of the number 540,635,688?

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 540,635,688

540,635,688
Factor Arrows
2270,317,844
Factor Arrows
2135,158,922
Factor Arrows
267,579,461
Factor Arrows
322,526,487
Factor Arrows
37,508,829
Factor Arrows
32,502,943

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, 3, 2502943

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 2,502,943 = 540,635,688

This can also be written as 23 x 33 x 2,502,9431 = 540,635,688

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


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