Q: What are the prime factors of the number 15,041,616?

 A: 2, 3, 19, 16493

Why are those the prime factors of the number 15,041,616?

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 15,041,616

15,041,616
Factor Arrows
27,520,808
Factor Arrows
23,760,404
Factor Arrows
21,880,202
Factor Arrows
2940,101
Factor Arrows
3313,367
Factor Arrows
1916,493

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, 19, 16493

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 16,493 = 15,041,616

This can also be written as 24 x 31 x 191 x 16,4931 = 15,041,616

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


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