Q: What are the prime factors of the number 598,108?

 A: 2, 7, 41, 521

Why are those the prime factors of the number 598,108?

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 598,108

598,108
Factor Arrows
2299,054
Factor Arrows
2149,527
Factor Arrows
721,361
Factor Arrows
41521

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, 7, 41, 521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 41 x 521 = 598,108

This can also be written as 22 x 71 x 411 x 5211 = 598,108

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


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