Q: What are the prime factors of the number 244,004,244?

 A: 2, 3, 11, 15277

Why are those the prime factors of the number 244,004,244?

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 244,004,244

244,004,244
Factor Arrows
2122,002,122
Factor Arrows
261,001,061
Factor Arrows
320,333,687
Factor Arrows
111,848,517
Factor Arrows
11168,047
Factor Arrows
1115,277

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, 11, 15277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 11 x 11 x 15,277 = 244,004,244

This can also be written as 22 x 31 x 113 x 15,2771 = 244,004,244

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


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