Q: What are the prime factors of the number 1,020,160?

 A: 2, 5, 797

Why are those the prime factors of the number 1,020,160?

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 1,020,160

1,020,160
Factor Arrows
2510,080
Factor Arrows
2255,040
Factor Arrows
2127,520
Factor Arrows
263,760
Factor Arrows
231,880
Factor Arrows
215,940
Factor Arrows
27,970
Factor Arrows
23,985
Factor Arrows
5797

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, 797

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 5 x 797 = 1,020,160

This can also be written as 28 x 51 x 7971 = 1,020,160

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


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