Q: What are the prime factors of the number 222,013,200?

 A: 2, 3, 5, 17, 10883

Why are those the prime factors of the number 222,013,200?

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 222,013,200

222,013,200
Factor Arrows
2111,006,600
Factor Arrows
255,503,300
Factor Arrows
227,751,650
Factor Arrows
213,875,825
Factor Arrows
34,625,275
Factor Arrows
5925,055
Factor Arrows
5185,011
Factor Arrows
1710,883

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, 5, 17, 10883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 10,883 = 222,013,200

This can also be written as 24 x 31 x 52 x 171 x 10,8831 = 222,013,200

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


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