Q: What are the prime factors of the number 13,462,065?

 A: 3, 5, 99719

Why are those the prime factors of the number 13,462,065?

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 13,462,065

13,462,065
Factor Arrows
34,487,355
Factor Arrows
31,495,785
Factor Arrows
3498,595
Factor Arrows
599,719

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:

3, 5, 99719

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 99,719 = 13,462,065

This can also be written as 33 x 51 x 99,7191 = 13,462,065

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


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