Q: What are the prime factors of the number 14,325,069?

 A: 3, 11, 19, 31, 67

Why are those the prime factors of the number 14,325,069?

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 14,325,069

14,325,069
Factor Arrows
34,775,023
Factor Arrows
11434,093
Factor Arrows
1139,463
Factor Arrows
192,077
Factor Arrows
3167

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, 19, 31, 67

We can check our work by multiplying all of the prime factors together: 3 x 11 x 11 x 19 x 31 x 67 = 14,325,069

This can also be written as 31 x 112 x 191 x 311 x 671 = 14,325,069

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


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