Q: What are the prime factors of the number 15,140,616?

 A: 2, 3, 53, 11903

Why are those the prime factors of the number 15,140,616?

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 15,140,616

15,140,616
Factor Arrows
27,570,308
Factor Arrows
23,785,154
Factor Arrows
21,892,577
Factor Arrows
3630,859
Factor Arrows
5311,903

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, 53, 11903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 53 x 11,903 = 15,140,616

This can also be written as 23 x 31 x 531 x 11,9031 = 15,140,616

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


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