Q: What are the prime factors of the number 243,550,568?

 A: 2, 17, 281, 6373

Why are those the prime factors of the number 243,550,568?

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 243,550,568

243,550,568
Factor Arrows
2121,775,284
Factor Arrows
260,887,642
Factor Arrows
230,443,821
Factor Arrows
171,790,813
Factor Arrows
2816,373

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, 281, 6373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 281 x 6,373 = 243,550,568

This can also be written as 23 x 171 x 2811 x 6,3731 = 243,550,568

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


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