Q: What are the prime factors of the number 122,232,576?

 A: 2, 3, 159157

Why are those the prime factors of the number 122,232,576?

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 122,232,576

122,232,576
Factor Arrows
261,116,288
Factor Arrows
230,558,144
Factor Arrows
215,279,072
Factor Arrows
27,639,536
Factor Arrows
23,819,768
Factor Arrows
21,909,884
Factor Arrows
2954,942
Factor Arrows
2477,471
Factor Arrows
3159,157

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, 159157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 159,157 = 122,232,576

This can also be written as 28 x 31 x 159,1571 = 122,232,576

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


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