Q: What are the prime factors of the number 251,343?

 A: 3, 29, 107

Why are those the prime factors of the number 251,343?

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 251,343

251,343
Factor Arrows
383,781
Factor Arrows
327,927
Factor Arrows
39,309
Factor Arrows
33,103
Factor Arrows
29107

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:

3, 29, 107

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 29 x 107 = 251,343

This can also be written as 34 x 291 x 1071 = 251,343

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

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