Q: What are the prime factors of the number 18,351,380?

 A: 2, 5, 31, 29599

Why are those the prime factors of the number 18,351,380?

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 18,351,380

18,351,380
Factor Arrows
29,175,690
Factor Arrows
24,587,845
Factor Arrows
5917,569
Factor Arrows
3129,599

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, 31, 29599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 31 x 29,599 = 18,351,380

This can also be written as 22 x 51 x 311 x 29,5991 = 18,351,380

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


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