Q: What are the prime factors of the number 220,321,232?

 A: 2, 23, 163, 3673

Why are those the prime factors of the number 220,321,232?

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 220,321,232

220,321,232
Factor Arrows
2110,160,616
Factor Arrows
255,080,308
Factor Arrows
227,540,154
Factor Arrows
213,770,077
Factor Arrows
23598,699
Factor Arrows
1633,673

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, 23, 163, 3673

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 23 x 163 x 3,673 = 220,321,232

This can also be written as 24 x 231 x 1631 x 3,6731 = 220,321,232

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


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