Q: What are the prime factors of the number 15,656,512?

 A: 2, 244633

Why are those the prime factors of the number 15,656,512?

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 15,656,512

15,656,512
Factor Arrows
27,828,256
Factor Arrows
23,914,128
Factor Arrows
21,957,064
Factor Arrows
2978,532
Factor Arrows
2489,266
Factor Arrows
2244,633

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, 244633

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 244,633 = 15,656,512

This can also be written as 26 x 244,6331 = 15,656,512

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


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