Q: What are the prime factors of the number 37,707,264?

 A: 2, 3, 7, 167

Why are those the prime factors of the number 37,707,264?

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 37,707,264

37,707,264
Factor Arrows
218,853,632
Factor Arrows
29,426,816
Factor Arrows
24,713,408
Factor Arrows
22,356,704
Factor Arrows
21,178,352
Factor Arrows
2589,176
Factor Arrows
2294,588
Factor Arrows
2147,294
Factor Arrows
273,647
Factor Arrows
324,549
Factor Arrows
38,183
Factor Arrows
71,169
Factor Arrows
7167

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, 7, 167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 167 = 37,707,264

This can also be written as 29 x 32 x 72 x 1671 = 37,707,264

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


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