Q: What are the prime factors of the number 310,412?

 A: 2, 71, 1093

Why are those the prime factors of the number 310,412?

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 310,412

310,412
Factor Arrows
2155,206
Factor Arrows
277,603
Factor Arrows
711,093

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, 71, 1093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 71 x 1,093 = 310,412

This can also be written as 22 x 711 x 1,0931 = 310,412

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


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