Q: What are the prime factors of the number 122,201,122?

 A: 2, 19, 3215819

Why are those the prime factors of the number 122,201,122?

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 122,201,122

122,201,122
Factor Arrows
261,100,561
Factor Arrows
193,215,819

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, 19, 3215819

We can check our work by multiplying all of the prime factors together: 2 x 19 x 3,215,819 = 122,201,122

This can also be written as 21 x 191 x 3,215,8191 = 122,201,122

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


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