Q: What are the prime factors of the number 231,434,432?

 A: 2, 599, 6037

Why are those the prime factors of the number 231,434,432?

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 231,434,432

231,434,432
Factor Arrows
2115,717,216
Factor Arrows
257,858,608
Factor Arrows
228,929,304
Factor Arrows
214,464,652
Factor Arrows
27,232,326
Factor Arrows
23,616,163
Factor Arrows
5996,037

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, 599, 6037

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 599 x 6,037 = 231,434,432

This can also be written as 26 x 5991 x 6,0371 = 231,434,432

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


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