Q: What are the prime factors of the number 243,264?

 A: 2, 3, 7, 181

Why are those the prime factors of the number 243,264?

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 243,264

243,264
Factor Arrows
2121,632
Factor Arrows
260,816
Factor Arrows
230,408
Factor Arrows
215,204
Factor Arrows
27,602
Factor Arrows
23,801
Factor Arrows
31,267
Factor Arrows
7181

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, 7, 181

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 3 x 7 x 181 = 243,264

This can also be written as 26 x 31 x 71 x 1811 = 243,264

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


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