Q: What are the prime factors of the number 319,400?

 A: 2, 5, 1597

Why are those the prime factors of the number 319,400?

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 319,400

319,400
Factor Arrows
2159,700
Factor Arrows
279,850
Factor Arrows
239,925
Factor Arrows
57,985
Factor Arrows
51,597

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, 5, 1597

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 1,597 = 319,400

This can also be written as 23 x 52 x 1,5971 = 319,400

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


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