Q: What are the prime factors of the number 45,132,463?

 A: 23, 59, 79, 421

Why are those the prime factors of the number 45,132,463?

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 45,132,463

45,132,463
Factor Arrows
231,962,281
Factor Arrows
5933,259
Factor Arrows
79421

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:

23, 59, 79, 421

We can check our work by multiplying all of the prime factors together: 23 x 59 x 79 x 421 = 45,132,463

This can also be written as 231 x 591 x 791 x 4211 = 45,132,463

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


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