Q: What are the prime factors of the number 15,131,616?

 A: 2, 3, 163, 967

Why are those the prime factors of the number 15,131,616?

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 15,131,616

15,131,616
Factor Arrows
27,565,808
Factor Arrows
23,782,904
Factor Arrows
21,891,452
Factor Arrows
2945,726
Factor Arrows
2472,863
Factor Arrows
3157,621
Factor Arrows
163967

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, 3, 163, 967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 163 x 967 = 15,131,616

This can also be written as 25 x 31 x 1631 x 9671 = 15,131,616

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


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