Q: What are the prime factors of the number 487,643,808?

 A: 2, 3, 5079623

Why are those the prime factors of the number 487,643,808?

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 487,643,808

487,643,808
Factor Arrows
2243,821,904
Factor Arrows
2121,910,952
Factor Arrows
260,955,476
Factor Arrows
230,477,738
Factor Arrows
215,238,869
Factor Arrows
35,079,623

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, 5079623

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5,079,623 = 487,643,808

This can also be written as 25 x 31 x 5,079,6231 = 487,643,808

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


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