Q: What are the prime factors of the number 243,124,497?

 A: 3, 7, 11, 17, 2293

Why are those the prime factors of the number 243,124,497?

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 243,124,497

243,124,497
Factor Arrows
381,041,499
Factor Arrows
327,013,833
Factor Arrows
39,004,611
Factor Arrows
33,001,537
Factor Arrows
7428,791
Factor Arrows
1138,981
Factor Arrows
172,293

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:

3, 7, 11, 17, 2293

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 7 x 11 x 17 x 2,293 = 243,124,497

This can also be written as 34 x 71 x 111 x 171 x 2,2931 = 243,124,497

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


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