Q: What are the prime factors of the number 18,321,360?

 A: 2, 3, 5, 97, 787

Why are those the prime factors of the number 18,321,360?

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 18,321,360

18,321,360
Factor Arrows
29,160,680
Factor Arrows
24,580,340
Factor Arrows
22,290,170
Factor Arrows
21,145,085
Factor Arrows
3381,695
Factor Arrows
576,339
Factor Arrows
97787

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, 5, 97, 787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 97 x 787 = 18,321,360

This can also be written as 24 x 31 x 51 x 971 x 7871 = 18,321,360

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


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