Q: What are the prime factors of the number 244,456,108?

 A: 2, 13, 499, 9421

Why are those the prime factors of the number 244,456,108?

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 244,456,108

244,456,108
Factor Arrows
2122,228,054
Factor Arrows
261,114,027
Factor Arrows
134,701,079
Factor Arrows
4999,421

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, 13, 499, 9421

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 499 x 9,421 = 244,456,108

This can also be written as 22 x 131 x 4991 x 9,4211 = 244,456,108

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


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