Q: What are the prime factors of the number 122,412,642?

 A: 2, 3, 11, 97, 19121

Why are those the prime factors of the number 122,412,642?

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 122,412,642

122,412,642
Factor Arrows
261,206,321
Factor Arrows
320,402,107
Factor Arrows
111,854,737
Factor Arrows
9719,121

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, 11, 97, 19121

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 97 x 19,121 = 122,412,642

This can also be written as 21 x 31 x 111 x 971 x 19,1211 = 122,412,642

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


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