Q: What are the prime factors of the number 2,086,896?

 A: 2, 3, 7, 6211

Why are those the prime factors of the number 2,086,896?

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 2,086,896

2,086,896
Factor Arrows
21,043,448
Factor Arrows
2521,724
Factor Arrows
2260,862
Factor Arrows
2130,431
Factor Arrows
343,477
Factor Arrows
76,211

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, 6211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 7 x 6,211 = 2,086,896

This can also be written as 24 x 31 x 71 x 6,2111 = 2,086,896

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


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