Q: What are the prime factors of the number 15,149,900?

 A: 2, 5, 151499

Why are those the prime factors of the number 15,149,900?

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 15,149,900

15,149,900
Factor Arrows
27,574,950
Factor Arrows
23,787,475
Factor Arrows
5757,495
Factor Arrows
5151,499

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, 151499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 151,499 = 15,149,900

This can also be written as 22 x 52 x 151,4991 = 15,149,900

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


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