Q: What are the prime factors of the number 40,131,570?

 A: 2, 3, 5, 569, 2351

Why are those the prime factors of the number 40,131,570?

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 40,131,570

40,131,570
Factor Arrows
220,065,785
Factor Arrows
36,688,595
Factor Arrows
51,337,719
Factor Arrows
5692,351

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, 5, 569, 2351

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 569 x 2,351 = 40,131,570

This can also be written as 21 x 31 x 51 x 5691 x 2,3511 = 40,131,570

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


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