Q: What are the prime factors of the number 122,265,426?

 A: 2, 3, 31, 43, 15287

Why are those the prime factors of the number 122,265,426?

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 122,265,426

122,265,426
Factor Arrows
261,132,713
Factor Arrows
320,377,571
Factor Arrows
31657,341
Factor Arrows
4315,287

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, 31, 43, 15287

We can check our work by multiplying all of the prime factors together: 2 x 3 x 31 x 43 x 15,287 = 122,265,426

This can also be written as 21 x 31 x 311 x 431 x 15,2871 = 122,265,426

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


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