Q: What are the prime factors of the number 19,325,085?

 A: 3, 5, 13, 99103

Why are those the prime factors of the number 19,325,085?

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 19,325,085

19,325,085
Factor Arrows
36,441,695
Factor Arrows
51,288,339
Factor Arrows
1399,103

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, 13, 99103

We can check our work by multiplying all of the prime factors together: 3 x 5 x 13 x 99,103 = 19,325,085

This can also be written as 31 x 51 x 131 x 99,1031 = 19,325,085

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


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