Q: What are the prime factors of the number 15,164,960?

 A: 2, 5, 94781

Why are those the prime factors of the number 15,164,960?

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 15,164,960

15,164,960
Factor Arrows
27,582,480
Factor Arrows
23,791,240
Factor Arrows
21,895,620
Factor Arrows
2947,810
Factor Arrows
2473,905
Factor Arrows
594,781

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, 5, 94781

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 94,781 = 15,164,960

This can also be written as 25 x 51 x 94,7811 = 15,164,960

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


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