Q: What are the prime factors of the number 37,538,870?

 A: 2, 5, 19, 197573

Why are those the prime factors of the number 37,538,870?

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 37,538,870

37,538,870
Factor Arrows
218,769,435
Factor Arrows
53,753,887
Factor Arrows
19197,573

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, 5, 19, 197573

We can check our work by multiplying all of the prime factors together: 2 x 5 x 19 x 197,573 = 37,538,870

This can also be written as 21 x 51 x 191 x 197,5731 = 37,538,870

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


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