Q: What are the prime factors of the number 323,532,500?

 A: 2, 5, 127, 1019

Why are those the prime factors of the number 323,532,500?

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 323,532,500

323,532,500
Factor Arrows
2161,766,250
Factor Arrows
280,883,125
Factor Arrows
516,176,625
Factor Arrows
53,235,325
Factor Arrows
5647,065
Factor Arrows
5129,413
Factor Arrows
1271,019

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, 127, 1019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 5 x 127 x 1,019 = 323,532,500

This can also be written as 22 x 54 x 1271 x 1,0191 = 323,532,500

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


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