Q: What are the prime factors of the number 231,012,436?

 A: 2, 167, 173, 1999

Why are those the prime factors of the number 231,012,436?

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 231,012,436

231,012,436
Factor Arrows
2115,506,218
Factor Arrows
257,753,109
Factor Arrows
167345,827
Factor Arrows
1731,999

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, 167, 173, 1999

We can check our work by multiplying all of the prime factors together: 2 x 2 x 167 x 173 x 1,999 = 231,012,436

This can also be written as 22 x 1671 x 1731 x 1,9991 = 231,012,436

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


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