Q: What are the prime factors of the number 884,160?

 A: 2, 3, 5, 307

Why are those the prime factors of the number 884,160?

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 884,160

884,160
Factor Arrows
2442,080
Factor Arrows
2221,040
Factor Arrows
2110,520
Factor Arrows
255,260
Factor Arrows
227,630
Factor Arrows
213,815
Factor Arrows
34,605
Factor Arrows
31,535
Factor Arrows
5307

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, 3, 5, 307

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 3 x 3 x 5 x 307 = 884,160

This can also be written as 26 x 32 x 51 x 3071 = 884,160

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


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