Q: What are the prime factors of the number 122,101,040?

 A: 2, 5, 1526263

Why are those the prime factors of the number 122,101,040?

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 122,101,040

122,101,040
Factor Arrows
261,050,520
Factor Arrows
230,525,260
Factor Arrows
215,262,630
Factor Arrows
27,631,315
Factor Arrows
51,526,263

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, 5, 1526263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,526,263 = 122,101,040

This can also be written as 24 x 51 x 1,526,2631 = 122,101,040

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


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