Q: What are the prime factors of the number 37,281,796?

 A: 2, 107, 87107

Why are those the prime factors of the number 37,281,796?

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 37,281,796

37,281,796
Factor Arrows
218,640,898
Factor Arrows
29,320,449
Factor Arrows
10787,107

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, 107, 87107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 107 x 87,107 = 37,281,796

This can also be written as 22 x 1071 x 87,1071 = 37,281,796

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


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