Q: What are the prime factors of the number 244,123,520?

 A: 2, 5, 381443

Why are those the prime factors of the number 244,123,520?

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 244,123,520

244,123,520
Factor Arrows
2122,061,760
Factor Arrows
261,030,880
Factor Arrows
230,515,440
Factor Arrows
215,257,720
Factor Arrows
27,628,860
Factor Arrows
23,814,430
Factor Arrows
21,907,215
Factor Arrows
5381,443

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, 5, 381443

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 2 x 5 x 381,443 = 244,123,520

This can also be written as 27 x 51 x 381,4431 = 244,123,520

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


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