Q: What are the prime factors of the number 5,910,003?

 A: 3, 11, 67

Why are those the prime factors of the number 5,910,003?

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 5,910,003

5,910,003
Factor Arrows
31,970,001
Factor Arrows
3656,667
Factor Arrows
3218,889
Factor Arrows
372,963
Factor Arrows
324,321
Factor Arrows
38,107
Factor Arrows
11737
Factor Arrows
1167

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, 11, 67

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 11 x 11 x 67 = 5,910,003

This can also be written as 36 x 112 x 671 = 5,910,003

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


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