Q: What are the prime factors of the number 68,589,204?

 A: 2, 3, 5715767

Why are those the prime factors of the number 68,589,204?

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 68,589,204

68,589,204
Factor Arrows
234,294,602
Factor Arrows
217,147,301
Factor Arrows
35,715,767

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, 5715767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5,715,767 = 68,589,204

This can also be written as 22 x 31 x 5,715,7671 = 68,589,204

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


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