Q: What are the prime factors of the number 244,434,024?

 A: 2, 3, 17, 22189

Why are those the prime factors of the number 244,434,024?

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 244,434,024

244,434,024
Factor Arrows
2122,217,012
Factor Arrows
261,108,506
Factor Arrows
230,554,253
Factor Arrows
310,184,751
Factor Arrows
33,394,917
Factor Arrows
31,131,639
Factor Arrows
3377,213
Factor Arrows
1722,189

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, 17, 22189

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 17 x 22,189 = 244,434,024

This can also be written as 23 x 34 x 171 x 22,1891 = 244,434,024

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


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