Q: What are the prime factors of the number 373,400,700?

 A: 2, 3, 5, 521, 2389

Why are those the prime factors of the number 373,400,700?

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 373,400,700

373,400,700
Factor Arrows
2186,700,350
Factor Arrows
293,350,175
Factor Arrows
331,116,725
Factor Arrows
56,223,345
Factor Arrows
51,244,669
Factor Arrows
5212,389

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, 521, 2389

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 521 x 2,389 = 373,400,700

This can also be written as 22 x 31 x 52 x 5211 x 2,3891 = 373,400,700

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


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