Q: What are the prime factors of the number 244,345,640?

 A: 2, 5, 7, 11, 79333

Why are those the prime factors of the number 244,345,640?

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 244,345,640

244,345,640
Factor Arrows
2122,172,820
Factor Arrows
261,086,410
Factor Arrows
230,543,205
Factor Arrows
56,108,641
Factor Arrows
7872,663
Factor Arrows
1179,333

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, 5, 7, 11, 79333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 11 x 79,333 = 244,345,640

This can also be written as 23 x 51 x 71 x 111 x 79,3331 = 244,345,640

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


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