Q: What are the prime factors of the number 243,424,416?

 A: 2, 3, 2535671

Why are those the prime factors of the number 243,424,416?

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 243,424,416

243,424,416
Factor Arrows
2121,712,208
Factor Arrows
260,856,104
Factor Arrows
230,428,052
Factor Arrows
215,214,026
Factor Arrows
27,607,013
Factor Arrows
32,535,671

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, 2535671

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 2,535,671 = 243,424,416

This can also be written as 25 x 31 x 2,535,6711 = 243,424,416

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


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