Q: What are the prime factors of the number 431,464?

 A: 2, 11, 4903

Why are those the prime factors of the number 431,464?

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 431,464

431,464
Factor Arrows
2215,732
Factor Arrows
2107,866
Factor Arrows
253,933
Factor Arrows
114,903

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, 11, 4903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 4,903 = 431,464

This can also be written as 23 x 111 x 4,9031 = 431,464

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


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