Q: What are the prime factors of the number 373,635,722?

 A: 2, 19, 517501

Why are those the prime factors of the number 373,635,722?

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 373,635,722

373,635,722
Factor Arrows
2186,817,861
Factor Arrows
199,832,519
Factor Arrows
19517,501

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, 19, 517501

We can check our work by multiplying all of the prime factors together: 2 x 19 x 19 x 517,501 = 373,635,722

This can also be written as 21 x 192 x 517,5011 = 373,635,722

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


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