Q: What are the prime factors of the number 99,920?

 A: 2, 5, 1249

Why are those the prime factors of the number 99,920?

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 99,920

99,920
Factor Arrows
249,960
Factor Arrows
224,980
Factor Arrows
212,490
Factor Arrows
26,245
Factor Arrows
51,249

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, 1249

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,249 = 99,920

This can also be written as 24 x 51 x 1,2491 = 99,920

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


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