Q: What are the prime factors of the number 198,250,992?

 A: 2, 3, 373, 3691

Why are those the prime factors of the number 198,250,992?

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 198,250,992

198,250,992
Factor Arrows
299,125,496
Factor Arrows
249,562,748
Factor Arrows
224,781,374
Factor Arrows
212,390,687
Factor Arrows
34,130,229
Factor Arrows
31,376,743
Factor Arrows
3733,691

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, 373, 3691

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 373 x 3,691 = 198,250,992

This can also be written as 24 x 32 x 3731 x 3,6911 = 198,250,992

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


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