Q: What are the prime factors of the number 15,310,125?

 A: 3, 5, 31, 439

Why are those the prime factors of the number 15,310,125?

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 15,310,125

15,310,125
Factor Arrows
35,103,375
Factor Arrows
31,701,125
Factor Arrows
5340,225
Factor Arrows
568,045
Factor Arrows
513,609
Factor Arrows
31439

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, 5, 31, 439

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 5 x 31 x 439 = 15,310,125

This can also be written as 32 x 53 x 311 x 4391 = 15,310,125

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


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