Q: What are the prime factors of the number 319,952?

 A: 2, 19997

Why are those the prime factors of the number 319,952?

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 319,952

319,952
Factor Arrows
2159,976
Factor Arrows
279,988
Factor Arrows
239,994
Factor Arrows
219,997

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, 19997

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19,997 = 319,952

This can also be written as 24 x 19,9971 = 319,952

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


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