Q: What are the prime factors of the number 14,268,835?

 A: 5, 7, 31, 13151

Why are those the prime factors of the number 14,268,835?

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 14,268,835

14,268,835
Factor Arrows
52,853,767
Factor Arrows
7407,681
Factor Arrows
3113,151

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:

5, 7, 31, 13151

We can check our work by multiplying all of the prime factors together: 5 x 7 x 31 x 13,151 = 14,268,835

This can also be written as 51 x 71 x 311 x 13,1511 = 14,268,835

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


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