Q: What are the prime factors of the number 274,908?

 A: 2, 3, 31, 739

Why are those the prime factors of the number 274,908?

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 274,908

274,908
Factor Arrows
2137,454
Factor Arrows
268,727
Factor Arrows
322,909
Factor Arrows
31739

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, 31, 739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 739 = 274,908

This can also be written as 22 x 31 x 311 x 7391 = 274,908

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


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