Q: What are the prime factors of the number 220,211,616?

 A: 2, 3, 29, 83, 953

Why are those the prime factors of the number 220,211,616?

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 220,211,616

220,211,616
Factor Arrows
2110,105,808
Factor Arrows
255,052,904
Factor Arrows
227,526,452
Factor Arrows
213,763,226
Factor Arrows
26,881,613
Factor Arrows
32,293,871
Factor Arrows
2979,099
Factor Arrows
83953

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, 29, 83, 953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 29 x 83 x 953 = 220,211,616

This can also be written as 25 x 31 x 291 x 831 x 9531 = 220,211,616

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


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