Q: What are the prime factors of the number 244,035,264?

 A: 2, 3, 11, 115547

Why are those the prime factors of the number 244,035,264?

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 244,035,264

244,035,264
Factor Arrows
2122,017,632
Factor Arrows
261,008,816
Factor Arrows
230,504,408
Factor Arrows
215,252,204
Factor Arrows
27,626,102
Factor Arrows
23,813,051
Factor Arrows
31,271,017
Factor Arrows
11115,547

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, 115547

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 3 x 11 x 115,547 = 244,035,264

This can also be written as 26 x 31 x 111 x 115,5471 = 244,035,264

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


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