Q: What are the prime factors of the number 26,711,559?

 A: 3, 7, 79, 1789

Why are those the prime factors of the number 26,711,559?

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 26,711,559

26,711,559
Factor Arrows
38,903,853
Factor Arrows
32,967,951
Factor Arrows
3989,317
Factor Arrows
7141,331
Factor Arrows
791,789

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:

3, 7, 79, 1789

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 79 x 1,789 = 26,711,559

This can also be written as 33 x 71 x 791 x 1,7891 = 26,711,559

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


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