Q: What are the prime factors of the number 320,220,216?

 A: 2, 3, 494167

Why are those the prime factors of the number 320,220,216?

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 320,220,216

320,220,216
Factor Arrows
2160,110,108
Factor Arrows
280,055,054
Factor Arrows
240,027,527
Factor Arrows
313,342,509
Factor Arrows
34,447,503
Factor Arrows
31,482,501
Factor Arrows
3494,167

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, 494167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 494,167 = 320,220,216

This can also be written as 23 x 34 x 494,1671 = 320,220,216

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


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