Q: What are the prime factors of the number 8,177,088?

 A: 2, 3, 42589

Why are those the prime factors of the number 8,177,088?

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 8,177,088

8,177,088
Factor Arrows
24,088,544
Factor Arrows
22,044,272
Factor Arrows
21,022,136
Factor Arrows
2511,068
Factor Arrows
2255,534
Factor Arrows
2127,767
Factor Arrows
342,589

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, 3, 42589

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 3 x 42,589 = 8,177,088

This can also be written as 26 x 31 x 42,5891 = 8,177,088

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


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