Q: What are the prime factors of the number 2,122,640?

 A: 2, 5, 13, 157

Why are those the prime factors of the number 2,122,640?

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 2,122,640

2,122,640
Factor Arrows
21,061,320
Factor Arrows
2530,660
Factor Arrows
2265,330
Factor Arrows
2132,665
Factor Arrows
526,533
Factor Arrows
132,041
Factor Arrows
13157

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, 13, 157

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 13 x 157 = 2,122,640

This can also be written as 24 x 51 x 132 x 1571 = 2,122,640

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


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