Q: What are the prime factors of the number 18,006,688?

 A: 2, 7, 80387

Why are those the prime factors of the number 18,006,688?

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 18,006,688

18,006,688
Factor Arrows
29,003,344
Factor Arrows
24,501,672
Factor Arrows
22,250,836
Factor Arrows
21,125,418
Factor Arrows
2562,709
Factor Arrows
780,387

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, 7, 80387

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 80,387 = 18,006,688

This can also be written as 25 x 71 x 80,3871 = 18,006,688

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


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