Q: What are the prime factors of the number 431,311,244?

 A: 2, 7, 13, 53, 79, 283

Why are those the prime factors of the number 431,311,244?

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 431,311,244

431,311,244
Factor Arrows
2215,655,622
Factor Arrows
2107,827,811
Factor Arrows
715,403,973
Factor Arrows
131,184,921
Factor Arrows
5322,357
Factor Arrows
79283

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, 7, 13, 53, 79, 283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 13 x 53 x 79 x 283 = 431,311,244

This can also be written as 22 x 71 x 131 x 531 x 791 x 2831 = 431,311,244

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


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