Q: What are the prime factors of the number 122,281,664?

 A: 2, 1910651

Why are those the prime factors of the number 122,281,664?

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 122,281,664

122,281,664
Factor Arrows
261,140,832
Factor Arrows
230,570,416
Factor Arrows
215,285,208
Factor Arrows
27,642,604
Factor Arrows
23,821,302
Factor Arrows
21,910,651

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, 1910651

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 1,910,651 = 122,281,664

This can also be written as 26 x 1,910,6511 = 122,281,664

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


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