Q: What are the prime factors of the number 431,334,531?

 A: 3, 15975353

Why are those the prime factors of the number 431,334,531?

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 431,334,531

431,334,531
Factor Arrows
3143,778,177
Factor Arrows
347,926,059
Factor Arrows
315,975,353

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:

3, 15975353

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 15,975,353 = 431,334,531

This can also be written as 33 x 15,975,3531 = 431,334,531

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


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