Q: What are the prime factors of the number 12,477,656?

 A: 2, 29, 53783

Why are those the prime factors of the number 12,477,656?

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 12,477,656

12,477,656
Factor Arrows
26,238,828
Factor Arrows
23,119,414
Factor Arrows
21,559,707
Factor Arrows
2953,783

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, 29, 53783

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 29 x 53,783 = 12,477,656

This can also be written as 23 x 291 x 53,7831 = 12,477,656

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


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