Q: What are the prime factors of the number 244,110,096?

 A: 2, 3, 1695209

Why are those the prime factors of the number 244,110,096?

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 244,110,096

244,110,096
Factor Arrows
2122,055,048
Factor Arrows
261,027,524
Factor Arrows
230,513,762
Factor Arrows
215,256,881
Factor Arrows
35,085,627
Factor Arrows
31,695,209

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, 3, 1695209

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 1,695,209 = 244,110,096

This can also be written as 24 x 32 x 1,695,2091 = 244,110,096

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


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