Q: What are the prime factors of the number 373,400,699?

 A: 7, 17, 23, 227, 601

Why are those the prime factors of the number 373,400,699?

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 373,400,699

373,400,699
Factor Arrows
753,342,957
Factor Arrows
173,137,821
Factor Arrows
23136,427
Factor Arrows
227601

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:

7, 17, 23, 227, 601

We can check our work by multiplying all of the prime factors together: 7 x 17 x 23 x 227 x 601 = 373,400,699

This can also be written as 71 x 171 x 231 x 2271 x 6011 = 373,400,699

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


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