Q: What are the prime factors of the number 231,452,212?

 A: 2, 17, 307, 11087

Why are those the prime factors of the number 231,452,212?

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 231,452,212

231,452,212
Factor Arrows
2115,726,106
Factor Arrows
257,863,053
Factor Arrows
173,403,709
Factor Arrows
30711,087

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, 17, 307, 11087

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 307 x 11,087 = 231,452,212

This can also be written as 22 x 171 x 3071 x 11,0871 = 231,452,212

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


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