Q: What are the prime factors of the number 207,896?

 A: 2, 13, 1999

Why are those the prime factors of the number 207,896?

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 207,896

207,896
Factor Arrows
2103,948
Factor Arrows
251,974
Factor Arrows
225,987
Factor Arrows
131,999

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, 13, 1999

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 1,999 = 207,896

This can also be written as 23 x 131 x 1,9991 = 207,896

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


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