Q: What are the prime factors of the number 898,500?

 A: 2, 3, 5, 599

Why are those the prime factors of the number 898,500?

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 898,500

898,500
Factor Arrows
2449,250
Factor Arrows
2224,625
Factor Arrows
374,875
Factor Arrows
514,975
Factor Arrows
52,995
Factor Arrows
5599

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, 5, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 599 = 898,500

This can also be written as 22 x 31 x 53 x 5991 = 898,500

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


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