Q: What are the prime factors of the number 122,222,115?

 A: 3, 5, 23, 13121

Why are those the prime factors of the number 122,222,115?

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 122,222,115

122,222,115
Factor Arrows
340,740,705
Factor Arrows
313,580,235
Factor Arrows
34,526,745
Factor Arrows
31,508,915
Factor Arrows
5301,783
Factor Arrows
2313,121

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:

3, 5, 23, 13121

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 23 x 13,121 = 122,222,115

This can also be written as 34 x 51 x 231 x 13,1211 = 122,222,115

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


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