Q: What are the prime factors of the number 2,115,792?

 A: 2, 3, 7, 2099

Why are those the prime factors of the number 2,115,792?

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 2,115,792

2,115,792
Factor Arrows
21,057,896
Factor Arrows
2528,948
Factor Arrows
2264,474
Factor Arrows
2132,237
Factor Arrows
344,079
Factor Arrows
314,693
Factor Arrows
72,099

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, 2099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 7 x 2,099 = 2,115,792

This can also be written as 24 x 32 x 71 x 2,0991 = 2,115,792

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


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