Q: What are the prime factors of the number 431,754,644?

 A: 2, 17, 6349333

Why are those the prime factors of the number 431,754,644?

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 431,754,644

431,754,644
Factor Arrows
2215,877,322
Factor Arrows
2107,938,661
Factor Arrows
176,349,333

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, 17, 6349333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 6,349,333 = 431,754,644

This can also be written as 22 x 171 x 6,349,3331 = 431,754,644

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


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