Q: What are the prime factors of the number 398,548?

 A: 2, 17, 5861

Why are those the prime factors of the number 398,548?

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 398,548

398,548
Factor Arrows
2199,274
Factor Arrows
299,637
Factor Arrows
175,861

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, 17, 5861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 5,861 = 398,548

This can also be written as 22 x 171 x 5,8611 = 398,548

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


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