Q: What are the prime factors of the number 122,413,416?

 A: 2, 3, 173, 29483

Why are those the prime factors of the number 122,413,416?

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 122,413,416

122,413,416
Factor Arrows
261,206,708
Factor Arrows
230,603,354
Factor Arrows
215,301,677
Factor Arrows
35,100,559
Factor Arrows
17329,483

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, 173, 29483

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 173 x 29,483 = 122,413,416

This can also be written as 23 x 31 x 1731 x 29,4831 = 122,413,416

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


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