Q: What are the prime factors of the number 575,625,036?

 A: 2, 3, 7, 61, 112339

Why are those the prime factors of the number 575,625,036?

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 575,625,036

575,625,036
Factor Arrows
2287,812,518
Factor Arrows
2143,906,259
Factor Arrows
347,968,753
Factor Arrows
76,852,679
Factor Arrows
61112,339

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, 7, 61, 112339

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 61 x 112,339 = 575,625,036

This can also be written as 22 x 31 x 71 x 611 x 112,3391 = 575,625,036

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


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