Q: What are the prime factors of the number 998,000?

 A: 2, 5, 499

Why are those the prime factors of the number 998,000?

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 998,000

998,000
Factor Arrows
2499,000
Factor Arrows
2249,500
Factor Arrows
2124,750
Factor Arrows
262,375
Factor Arrows
512,475
Factor Arrows
52,495
Factor Arrows
5499

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, 5, 499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 5 x 499 = 998,000

This can also be written as 24 x 53 x 4991 = 998,000

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


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