Q: What are the prime factors of the number 2,687,832?

 A: 2, 3, 7, 5333

Why are those the prime factors of the number 2,687,832?

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 2,687,832

2,687,832
Factor Arrows
21,343,916
Factor Arrows
2671,958
Factor Arrows
2335,979
Factor Arrows
3111,993
Factor Arrows
337,331
Factor Arrows
75,333

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, 7, 5333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 7 x 5,333 = 2,687,832

This can also be written as 23 x 32 x 71 x 5,3331 = 2,687,832

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


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