Q: What are the prime factors of the number 15,251,120?

 A: 2, 5, 190639

Why are those the prime factors of the number 15,251,120?

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 15,251,120

15,251,120
Factor Arrows
27,625,560
Factor Arrows
23,812,780
Factor Arrows
21,906,390
Factor Arrows
2953,195
Factor Arrows
5190,639

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, 5, 190639

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 190,639 = 15,251,120

This can also be written as 24 x 51 x 190,6391 = 15,251,120

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


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