Q: What are the prime factors of the number 244,952?

 A: 2, 67, 457

Why are those the prime factors of the number 244,952?

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 244,952

244,952
Factor Arrows
2122,476
Factor Arrows
261,238
Factor Arrows
230,619
Factor Arrows
67457

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, 67, 457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 67 x 457 = 244,952

This can also be written as 23 x 671 x 4571 = 244,952

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


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