Q: What are the prime factors of the number 3,031,104?

 A: 2, 3, 15787

Why are those the prime factors of the number 3,031,104?

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 3,031,104

3,031,104
Factor Arrows
21,515,552
Factor Arrows
2757,776
Factor Arrows
2378,888
Factor Arrows
2189,444
Factor Arrows
294,722
Factor Arrows
247,361
Factor Arrows
315,787

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, 15787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 15,787 = 3,031,104

This can also be written as 26 x 31 x 15,7871 = 3,031,104

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


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