Q: What are the prime factors of the number 15,870,844?

 A: 2, 11, 271

Why are those the prime factors of the number 15,870,844?

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 15,870,844

15,870,844
Factor Arrows
27,935,422
Factor Arrows
23,967,711
Factor Arrows
11360,701
Factor Arrows
1132,791
Factor Arrows
112,981
Factor Arrows
11271

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, 11, 271

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 11 x 11 x 11 x 271 = 15,870,844

This can also be written as 22 x 114 x 2711 = 15,870,844

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


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