Q: What are the prime factors of the number 15,927,392?

 A: 2, 13, 38287

Why are those the prime factors of the number 15,927,392?

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 15,927,392

15,927,392
Factor Arrows
27,963,696
Factor Arrows
23,981,848
Factor Arrows
21,990,924
Factor Arrows
2995,462
Factor Arrows
2497,731
Factor Arrows
1338,287

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, 13, 38287

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 38,287 = 15,927,392

This can also be written as 25 x 131 x 38,2871 = 15,927,392

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


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