Q: What are the prime factors of the number 122,488,686?

 A: 2, 3, 137, 5519

Why are those the prime factors of the number 122,488,686?

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 122,488,686

122,488,686
Factor Arrows
261,244,343
Factor Arrows
320,414,781
Factor Arrows
36,804,927
Factor Arrows
32,268,309
Factor Arrows
3756,103
Factor Arrows
1375,519

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, 137, 5519

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 137 x 5,519 = 122,488,686

This can also be written as 21 x 34 x 1371 x 5,5191 = 122,488,686

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


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