Q: What are the prime factors of the number 26,270,505?

 A: 3, 5, 583789

Why are those the prime factors of the number 26,270,505?

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 26,270,505

26,270,505
Factor Arrows
38,756,835
Factor Arrows
32,918,945
Factor Arrows
5583,789

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, 5, 583789

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 583,789 = 26,270,505

This can also be written as 32 x 51 x 583,7891 = 26,270,505

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


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