Q: What are the prime factors of the number 243,777,792?

 A: 2, 3, 317419

Why are those the prime factors of the number 243,777,792?

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 243,777,792

243,777,792
Factor Arrows
2121,888,896
Factor Arrows
260,944,448
Factor Arrows
230,472,224
Factor Arrows
215,236,112
Factor Arrows
27,618,056
Factor Arrows
23,809,028
Factor Arrows
21,904,514
Factor Arrows
2952,257
Factor Arrows
3317,419

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, 317419

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 2 x 2 x 3 x 317,419 = 243,777,792

This can also be written as 28 x 31 x 317,4191 = 243,777,792

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


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