Q: What are the prime factors of the number 199,602?

 A: 2, 3, 13, 853

Why are those the prime factors of the number 199,602?

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 199,602

199,602
Factor Arrows
299,801
Factor Arrows
333,267
Factor Arrows
311,089
Factor Arrows
13853

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, 13, 853

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 13 x 853 = 199,602

This can also be written as 21 x 32 x 131 x 8531 = 199,602

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


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