Q: What are the prime factors of the number 220,323,024?

 A: 2, 3, 510007

Why are those the prime factors of the number 220,323,024?

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 220,323,024

220,323,024
Factor Arrows
2110,161,512
Factor Arrows
255,080,756
Factor Arrows
227,540,378
Factor Arrows
213,770,189
Factor Arrows
34,590,063
Factor Arrows
31,530,021
Factor Arrows
3510,007

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, 510007

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 510,007 = 220,323,024

This can also be written as 24 x 33 x 510,0071 = 220,323,024

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


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