Q: What are the prime factors of the number 36,700,371?

 A: 3, 41, 43, 257

Why are those the prime factors of the number 36,700,371?

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 36,700,371

36,700,371
Factor Arrows
312,233,457
Factor Arrows
34,077,819
Factor Arrows
31,359,273
Factor Arrows
3453,091
Factor Arrows
4111,051
Factor Arrows
43257

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:

3, 41, 43, 257

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 41 x 43 x 257 = 36,700,371

This can also be written as 34 x 411 x 431 x 2571 = 36,700,371

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


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