Q: What are the prime factors of the number 37,040,328?

 A: 2, 3, 13, 4397

Why are those the prime factors of the number 37,040,328?

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 37,040,328

37,040,328
Factor Arrows
218,520,164
Factor Arrows
29,260,082
Factor Arrows
24,630,041
Factor Arrows
31,543,347
Factor Arrows
3514,449
Factor Arrows
3171,483
Factor Arrows
357,161
Factor Arrows
134,397

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, 13, 4397

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 x 4,397 = 37,040,328

This can also be written as 23 x 34 x 131 x 4,3971 = 37,040,328

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


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