Q: What are the prime factors of the number 15,324,732?

 A: 2, 3, 89, 4783

Why are those the prime factors of the number 15,324,732?

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 15,324,732

15,324,732
Factor Arrows
27,662,366
Factor Arrows
23,831,183
Factor Arrows
31,277,061
Factor Arrows
3425,687
Factor Arrows
894,783

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, 89, 4783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 89 x 4,783 = 15,324,732

This can also be written as 22 x 32 x 891 x 4,7831 = 15,324,732

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


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