Q: What are the prime factors of the number 26,711,560?

 A: 2, 5, 67, 9967

Why are those the prime factors of the number 26,711,560?

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 26,711,560

26,711,560
Factor Arrows
213,355,780
Factor Arrows
26,677,890
Factor Arrows
23,338,945
Factor Arrows
5667,789
Factor Arrows
679,967

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, 5, 67, 9967

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 67 x 9,967 = 26,711,560

This can also be written as 23 x 51 x 671 x 9,9671 = 26,711,560

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


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