Q: What are the prime factors of the number 14,263,464?

 A: 2, 3, 594311

Why are those the prime factors of the number 14,263,464?

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 14,263,464

14,263,464
Factor Arrows
27,131,732
Factor Arrows
23,565,866
Factor Arrows
21,782,933
Factor Arrows
3594,311

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, 3, 594311

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 594,311 = 14,263,464

This can also be written as 23 x 31 x 594,3111 = 14,263,464

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


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