Q: What are the prime factors of the number 198,496?

 A: 2, 6203

Why are those the prime factors of the number 198,496?

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 198,496

198,496
Factor Arrows
299,248
Factor Arrows
249,624
Factor Arrows
224,812
Factor Arrows
212,406
Factor Arrows
26,203

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, 6203

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 6,203 = 198,496

This can also be written as 25 x 6,2031 = 198,496

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


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