Q: What are the prime factors of the number 113,322,321?

 A: 3, 7, 53, 419

Why are those the prime factors of the number 113,322,321?

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 113,322,321

113,322,321
Factor Arrows
337,774,107
Factor Arrows
312,591,369
Factor Arrows
34,197,123
Factor Arrows
31,399,041
Factor Arrows
3466,347
Factor Arrows
3155,449
Factor Arrows
722,207
Factor Arrows
53419

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:

3, 7, 53, 419

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 7 x 53 x 419 = 113,322,321

This can also be written as 36 x 71 x 531 x 4191 = 113,322,321

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


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