Q: What are the prime factors of the number 2,668,806?

 A: 2, 3, 7, 59, 359

Why are those the prime factors of the number 2,668,806?

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 2,668,806

2,668,806
Factor Arrows
21,334,403
Factor Arrows
3444,801
Factor Arrows
3148,267
Factor Arrows
721,181
Factor Arrows
59359

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, 59, 359

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 7 x 59 x 359 = 2,668,806

This can also be written as 21 x 32 x 71 x 591 x 3591 = 2,668,806

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


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