Q: What are the prime factors of the number 18,776,169?

 A: 3, 947, 2203

Why are those the prime factors of the number 18,776,169?

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 18,776,169

18,776,169
Factor Arrows
36,258,723
Factor Arrows
32,086,241
Factor Arrows
9472,203

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, 947, 2203

We can check our work by multiplying all of the prime factors together: 3 x 3 x 947 x 2,203 = 18,776,169

This can also be written as 32 x 9471 x 2,2031 = 18,776,169

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


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