Q: What are the prime factors of the number 243,779,967?

 A: 3, 23, 1177681

Why are those the prime factors of the number 243,779,967?

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 243,779,967

243,779,967
Factor Arrows
381,259,989
Factor Arrows
327,086,663
Factor Arrows
231,177,681

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, 23, 1177681

We can check our work by multiplying all of the prime factors together: 3 x 3 x 23 x 1,177,681 = 243,779,967

This can also be written as 32 x 231 x 1,177,6811 = 243,779,967

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


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