Q: What are the prime factors of the number 243,131,008?

 A: 2, 17, 111733

Why are those the prime factors of the number 243,131,008?

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 243,131,008

243,131,008
Factor Arrows
2121,565,504
Factor Arrows
260,782,752
Factor Arrows
230,391,376
Factor Arrows
215,195,688
Factor Arrows
27,597,844
Factor Arrows
23,798,922
Factor Arrows
21,899,461
Factor Arrows
17111,733

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, 17, 111733

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 17 x 111,733 = 243,131,008

This can also be written as 27 x 171 x 111,7331 = 243,131,008

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


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