Q: What are the prime factors of the number 575,701,472?

 A: 2, 17990671

Why are those the prime factors of the number 575,701,472?

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 575,701,472

575,701,472
Factor Arrows
2287,850,736
Factor Arrows
2143,925,368
Factor Arrows
271,962,684
Factor Arrows
235,981,342
Factor Arrows
217,990,671

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, 17990671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17,990,671 = 575,701,472

This can also be written as 25 x 17,990,6711 = 575,701,472

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


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