Q: What are the prime factors of the number 637,540,410?

 A: 2, 3, 5, 13, 1634719

Why are those the prime factors of the number 637,540,410?

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 637,540,410

637,540,410
Factor Arrows
2318,770,205
Factor Arrows
3106,256,735
Factor Arrows
521,251,347
Factor Arrows
131,634,719

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, 13, 1634719

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 13 x 1,634,719 = 637,540,410

This can also be written as 21 x 31 x 51 x 131 x 1,634,7191 = 637,540,410

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


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