Q: What are the prime factors of the number 243,021,564?

 A: 2, 3, 197, 34267

Why are those the prime factors of the number 243,021,564?

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 243,021,564

243,021,564
Factor Arrows
2121,510,782
Factor Arrows
260,755,391
Factor Arrows
320,251,797
Factor Arrows
36,750,599
Factor Arrows
19734,267

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, 197, 34267

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 197 x 34,267 = 243,021,564

This can also be written as 22 x 32 x 1971 x 34,2671 = 243,021,564

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


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