Q: What are the prime factors of the number 231,222,124?

 A: 2, 7, 41, 201413

Why are those the prime factors of the number 231,222,124?

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 231,222,124

231,222,124
Factor Arrows
2115,611,062
Factor Arrows
257,805,531
Factor Arrows
78,257,933
Factor Arrows
41201,413

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, 41, 201413

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 41 x 201,413 = 231,222,124

This can also be written as 22 x 71 x 411 x 201,4131 = 231,222,124

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


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