Q: What are the prime factors of the number 575,631,376?

 A: 2, 59, 609779

Why are those the prime factors of the number 575,631,376?

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 575,631,376

575,631,376
Factor Arrows
2287,815,688
Factor Arrows
2143,907,844
Factor Arrows
271,953,922
Factor Arrows
235,976,961
Factor Arrows
59609,779

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, 59, 609779

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 59 x 609,779 = 575,631,376

This can also be written as 24 x 591 x 609,7791 = 575,631,376

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


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