Q: What are the prime factors of the number 244,526,336?

 A: 2, 47, 20323

Why are those the prime factors of the number 244,526,336?

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 244,526,336

244,526,336
Factor Arrows
2122,263,168
Factor Arrows
261,131,584
Factor Arrows
230,565,792
Factor Arrows
215,282,896
Factor Arrows
27,641,448
Factor Arrows
23,820,724
Factor Arrows
21,910,362
Factor Arrows
2955,181
Factor Arrows
4720,323

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, 47, 20323

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 2 x 47 x 20,323 = 244,526,336

This can also be written as 28 x 471 x 20,3231 = 244,526,336

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


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