Q: What are the prime factors of the number 18,500,292?

 A: 2, 3, 171299

Why are those the prime factors of the number 18,500,292?

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 18,500,292

18,500,292
Factor Arrows
29,250,146
Factor Arrows
24,625,073
Factor Arrows
31,541,691
Factor Arrows
3513,897
Factor Arrows
3171,299

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, 171299

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 171,299 = 18,500,292

This can also be written as 22 x 33 x 171,2991 = 18,500,292

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


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