Q: What are the prime factors of the number 598,914?

 A: 2, 3, 3697

Why are those the prime factors of the number 598,914?

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 598,914

598,914
Factor Arrows
2299,457
Factor Arrows
399,819
Factor Arrows
333,273
Factor Arrows
311,091
Factor Arrows
33,697

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, 3697

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3,697 = 598,914

This can also be written as 21 x 34 x 3,6971 = 598,914

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


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