Q: What are the prime factors of the number 220,166,262?

 A: 2, 3, 19, 113, 211

Why are those the prime factors of the number 220,166,262?

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 220,166,262

220,166,262
Factor Arrows
2110,083,131
Factor Arrows
336,694,377
Factor Arrows
312,231,459
Factor Arrows
34,077,153
Factor Arrows
31,359,051
Factor Arrows
3453,017
Factor Arrows
1923,843
Factor Arrows
113211

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, 19, 113, 211

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 19 x 113 x 211 = 220,166,262

This can also be written as 21 x 35 x 191 x 1131 x 2111 = 220,166,262

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


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