Q: What are the prime factors of the number 38,573,697?

 A: 3, 17, 44491

Why are those the prime factors of the number 38,573,697?

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 38,573,697

38,573,697
Factor Arrows
312,857,899
Factor Arrows
17756,347
Factor Arrows
1744,491

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, 17, 44491

We can check our work by multiplying all of the prime factors together: 3 x 17 x 17 x 44,491 = 38,573,697

This can also be written as 31 x 172 x 44,4911 = 38,573,697

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


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