Q: What are the prime factors of the number 6,018,003?

 A: 3, 19, 11731

Why are those the prime factors of the number 6,018,003?

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 6,018,003

6,018,003
Factor Arrows
32,006,001
Factor Arrows
3668,667
Factor Arrows
3222,889
Factor Arrows
1911,731

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, 19, 11731

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 19 x 11,731 = 6,018,003

This can also be written as 33 x 191 x 11,7311 = 6,018,003

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


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