Q: What are the prime factors of the number 22,410,976?

 A: 2, 7, 100049

Why are those the prime factors of the number 22,410,976?

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 22,410,976

22,410,976
Factor Arrows
211,205,488
Factor Arrows
25,602,744
Factor Arrows
22,801,372
Factor Arrows
21,400,686
Factor Arrows
2700,343
Factor Arrows
7100,049

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, 7, 100049

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 100,049 = 22,410,976

This can also be written as 25 x 71 x 100,0491 = 22,410,976

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


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