Q: What are the prime factors of the number 244,544?

 A: 2, 3821

Why are those the prime factors of the number 244,544?

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 244,544

244,544
Factor Arrows
2122,272
Factor Arrows
261,136
Factor Arrows
230,568
Factor Arrows
215,284
Factor Arrows
27,642
Factor Arrows
23,821

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, 3821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3,821 = 244,544

This can also be written as 26 x 3,8211 = 244,544

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


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