Q: What are the prime factors of the number 15,592,064?

 A: 2, 181, 673

Why are those the prime factors of the number 15,592,064?

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 15,592,064

15,592,064
Factor Arrows
27,796,032
Factor Arrows
23,898,016
Factor Arrows
21,949,008
Factor Arrows
2974,504
Factor Arrows
2487,252
Factor Arrows
2243,626
Factor Arrows
2121,813
Factor Arrows
181673

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, 181, 673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 181 x 673 = 15,592,064

This can also be written as 27 x 1811 x 6731 = 15,592,064

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


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