Q: What are the prime factors of the number 2,082,160?

 A: 2, 5, 17, 1531

Why are those the prime factors of the number 2,082,160?

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 2,082,160

2,082,160
Factor Arrows
21,041,080
Factor Arrows
2520,540
Factor Arrows
2260,270
Factor Arrows
2130,135
Factor Arrows
526,027
Factor Arrows
171,531

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, 17, 1531

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 17 x 1,531 = 2,082,160

This can also be written as 24 x 51 x 171 x 1,5311 = 2,082,160

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


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