Q: What are the prime factors of the number 5,566,832?

 A: 2, 113, 3079

Why are those the prime factors of the number 5,566,832?

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 5,566,832

5,566,832
Factor Arrows
22,783,416
Factor Arrows
21,391,708
Factor Arrows
2695,854
Factor Arrows
2347,927
Factor Arrows
1133,079

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, 113, 3079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 113 x 3,079 = 5,566,832

This can also be written as 24 x 1131 x 3,0791 = 5,566,832

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


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