Q: What are the prime factors of the number 244,232,560?

 A: 2, 5, 11, 13, 37, 577

Why are those the prime factors of the number 244,232,560?

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 244,232,560

244,232,560
Factor Arrows
2122,116,280
Factor Arrows
261,058,140
Factor Arrows
230,529,070
Factor Arrows
215,264,535
Factor Arrows
53,052,907
Factor Arrows
11277,537
Factor Arrows
1321,349
Factor Arrows
37577

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, 11, 13, 37, 577

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 11 x 13 x 37 x 577 = 244,232,560

This can also be written as 24 x 51 x 111 x 131 x 371 x 5771 = 244,232,560

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


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