Q: What are the prime factors of the number 18,004,640?

 A: 2, 5, 131, 859

Why are those the prime factors of the number 18,004,640?

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 18,004,640

18,004,640
Factor Arrows
29,002,320
Factor Arrows
24,501,160
Factor Arrows
22,250,580
Factor Arrows
21,125,290
Factor Arrows
2562,645
Factor Arrows
5112,529
Factor Arrows
131859

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, 131, 859

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 131 x 859 = 18,004,640

This can also be written as 25 x 51 x 1311 x 8591 = 18,004,640

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


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