Q: What are the prime factors of the number 243,393,472?

 A: 2, 7, 543289

Why are those the prime factors of the number 243,393,472?

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 243,393,472

243,393,472
Factor Arrows
2121,696,736
Factor Arrows
260,848,368
Factor Arrows
230,424,184
Factor Arrows
215,212,092
Factor Arrows
27,606,046
Factor Arrows
23,803,023
Factor Arrows
7543,289

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, 7, 543289

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 7 x 543,289 = 243,393,472

This can also be written as 26 x 71 x 543,2891 = 243,393,472

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


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