Q: What are the prime factors of the number 423,023,224?

 A: 2, 13, 312887

Why are those the prime factors of the number 423,023,224?

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 423,023,224

423,023,224
Factor Arrows
2211,511,612
Factor Arrows
2105,755,806
Factor Arrows
252,877,903
Factor Arrows
134,067,531
Factor Arrows
13312,887

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, 13, 312887

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 13 x 312,887 = 423,023,224

This can also be written as 23 x 132 x 312,8871 = 423,023,224

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


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