Q: What are the prime factors of the number 18,651,850?

 A: 2, 5, 7, 23, 331

Why are those the prime factors of the number 18,651,850?

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 18,651,850

18,651,850
Factor Arrows
29,325,925
Factor Arrows
51,865,185
Factor Arrows
5373,037
Factor Arrows
753,291
Factor Arrows
77,613
Factor Arrows
23331

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, 7, 23, 331

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 7 x 23 x 331 = 18,651,850

This can also be written as 21 x 52 x 72 x 231 x 3311 = 18,651,850

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


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