Q: What are the prime factors of the number 122,422,528?

 A: 2, 478213

Why are those the prime factors of the number 122,422,528?

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 122,422,528

122,422,528
Factor Arrows
261,211,264
Factor Arrows
230,605,632
Factor Arrows
215,302,816
Factor Arrows
27,651,408
Factor Arrows
23,825,704
Factor Arrows
21,912,852
Factor Arrows
2956,426
Factor Arrows
2478,213

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, 478213

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 478,213 = 122,422,528

This can also be written as 28 x 478,2131 = 122,422,528

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


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