Q: What are the prime factors of the number 15,530,736?

 A: 2, 3, 13, 24889

Why are those the prime factors of the number 15,530,736?

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 15,530,736

15,530,736
Factor Arrows
27,765,368
Factor Arrows
23,882,684
Factor Arrows
21,941,342
Factor Arrows
2970,671
Factor Arrows
3323,557
Factor Arrows
1324,889

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, 13, 24889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13 x 24,889 = 15,530,736

This can also be written as 24 x 31 x 131 x 24,8891 = 15,530,736

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


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