Q: What are the prime factors of the number 244,221,504?

 A: 2, 3, 1271987

Why are those the prime factors of the number 244,221,504?

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 244,221,504

244,221,504
Factor Arrows
2122,110,752
Factor Arrows
261,055,376
Factor Arrows
230,527,688
Factor Arrows
215,263,844
Factor Arrows
27,631,922
Factor Arrows
23,815,961
Factor Arrows
31,271,987

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, 1271987

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 1,271,987 = 244,221,504

This can also be written as 26 x 31 x 1,271,9871 = 244,221,504

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


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