Q: What are the prime factors of the number 634,127,202?

 A: 2, 3, 73, 482593

Why are those the prime factors of the number 634,127,202?

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 634,127,202

634,127,202
Factor Arrows
2317,063,601
Factor Arrows
3105,687,867
Factor Arrows
335,229,289
Factor Arrows
73482,593

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, 73, 482593

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 73 x 482,593 = 634,127,202

This can also be written as 21 x 32 x 731 x 482,5931 = 634,127,202

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


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