Q: What are the prime factors of the number 15,790,626?

 A: 2, 3, 32491

Why are those the prime factors of the number 15,790,626?

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 15,790,626

15,790,626
Factor Arrows
27,895,313
Factor Arrows
32,631,771
Factor Arrows
3877,257
Factor Arrows
3292,419
Factor Arrows
397,473
Factor Arrows
332,491

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:

2, 3, 32491

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 32,491 = 15,790,626

This can also be written as 21 x 35 x 32,4911 = 15,790,626

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


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