Q: What are the prime factors of the number 220,111,136?

 A: 2, 7, 229, 613

Why are those the prime factors of the number 220,111,136?

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 220,111,136

220,111,136
Factor Arrows
2110,055,568
Factor Arrows
255,027,784
Factor Arrows
227,513,892
Factor Arrows
213,756,946
Factor Arrows
26,878,473
Factor Arrows
7982,639
Factor Arrows
7140,377
Factor Arrows
229613

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, 7, 229, 613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 7 x 229 x 613 = 220,111,136

This can also be written as 25 x 72 x 2291 x 6131 = 220,111,136

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


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