Q: What are the prime factors of the number 252,343?

 A: 7, 13, 47, 59

Why are those the prime factors of the number 252,343?

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 252,343

252,343
Factor Arrows
736,049
Factor Arrows
132,773
Factor Arrows
4759

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:

7, 13, 47, 59

We can check our work by multiplying all of the prime factors together: 7 x 13 x 47 x 59 = 252,343

This can also be written as 71 x 131 x 471 x 591 = 252,343

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


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