Q: What are the prime factors of the number 222,231,230?

 A: 2, 5, 13, 151, 11321

Why are those the prime factors of the number 222,231,230?

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 222,231,230

222,231,230
Factor Arrows
2111,115,615
Factor Arrows
522,223,123
Factor Arrows
131,709,471
Factor Arrows
15111,321

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, 5, 13, 151, 11321

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 151 x 11,321 = 222,231,230

This can also be written as 21 x 51 x 131 x 1511 x 11,3211 = 222,231,230

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


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