Q: What are the prime factors of the number 467,055,018?

 A: 2, 3, 499, 17333

Why are those the prime factors of the number 467,055,018?

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 467,055,018

467,055,018
Factor Arrows
2233,527,509
Factor Arrows
377,842,503
Factor Arrows
325,947,501
Factor Arrows
38,649,167
Factor Arrows
49917,333

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, 499, 17333

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 499 x 17,333 = 467,055,018

This can also be written as 21 x 33 x 4991 x 17,3331 = 467,055,018

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


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