Q: What are the prime factors of the number 324,313,430?

 A: 2, 5, 7, 2017, 2297

Why are those the prime factors of the number 324,313,430?

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 324,313,430

324,313,430
Factor Arrows
2162,156,715
Factor Arrows
532,431,343
Factor Arrows
74,633,049
Factor Arrows
2,0172,297

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, 2017, 2297

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 2,017 x 2,297 = 324,313,430

This can also be written as 21 x 51 x 71 x 2,0171 x 2,2971 = 324,313,430

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


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