Q: What are the prime factors of the number 18,057,876?

 A: 2, 3, 17, 41, 127

Why are those the prime factors of the number 18,057,876?

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 18,057,876

18,057,876
Factor Arrows
29,028,938
Factor Arrows
24,514,469
Factor Arrows
31,504,823
Factor Arrows
1788,519
Factor Arrows
175,207
Factor Arrows
41127

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, 17, 41, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 17 x 17 x 41 x 127 = 18,057,876

This can also be written as 22 x 31 x 172 x 411 x 1271 = 18,057,876

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


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