Q: What are the prime factors of the number 18,323,630?

 A: 2, 5, 13, 59, 2389

Why are those the prime factors of the number 18,323,630?

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 18,323,630

18,323,630
Factor Arrows
29,161,815
Factor Arrows
51,832,363
Factor Arrows
13140,951
Factor Arrows
592,389

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, 13, 59, 2389

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 59 x 2,389 = 18,323,630

This can also be written as 21 x 51 x 131 x 591 x 2,3891 = 18,323,630

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


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