Q: What are the prime factors of the number 15,000,531?

 A: 3, 7, 13, 23, 2389

Why are those the prime factors of the number 15,000,531?

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 15,000,531

15,000,531
Factor Arrows
35,000,177
Factor Arrows
7714,311
Factor Arrows
1354,947
Factor Arrows
232,389

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:

3, 7, 13, 23, 2389

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 23 x 2,389 = 15,000,531

This can also be written as 31 x 71 x 131 x 231 x 2,3891 = 15,000,531

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


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