Q: What are the prime factors of the number 18,607,280?

 A: 2, 5, 232591

Why are those the prime factors of the number 18,607,280?

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 18,607,280

18,607,280
Factor Arrows
29,303,640
Factor Arrows
24,651,820
Factor Arrows
22,325,910
Factor Arrows
21,162,955
Factor Arrows
5232,591

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, 5, 232591

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 232,591 = 18,607,280

This can also be written as 24 x 51 x 232,5911 = 18,607,280

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


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