Q: What are the prime factors of the number 431,121,212?

 A: 2, 643, 167621

Why are those the prime factors of the number 431,121,212?

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 431,121,212

431,121,212
Factor Arrows
2215,560,606
Factor Arrows
2107,780,303
Factor Arrows
643167,621

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, 643, 167621

We can check our work by multiplying all of the prime factors together: 2 x 2 x 643 x 167,621 = 431,121,212

This can also be written as 22 x 6431 x 167,6211 = 431,121,212

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


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