Q: What are the prime factors of the number 122,451,432?

 A: 2, 3, 59, 86477

Why are those the prime factors of the number 122,451,432?

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 122,451,432

122,451,432
Factor Arrows
261,225,716
Factor Arrows
230,612,858
Factor Arrows
215,306,429
Factor Arrows
35,102,143
Factor Arrows
5986,477

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, 3, 59, 86477

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 59 x 86,477 = 122,451,432

This can also be written as 23 x 31 x 591 x 86,4771 = 122,451,432

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


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