Q: What are the prime factors of the number 18,304,884?

 A: 2, 3, 13, 39113

Why are those the prime factors of the number 18,304,884?

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 18,304,884

18,304,884
Factor Arrows
29,152,442
Factor Arrows
24,576,221
Factor Arrows
31,525,407
Factor Arrows
3508,469
Factor Arrows
1339,113

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, 13, 39113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 39,113 = 18,304,884

This can also be written as 22 x 32 x 131 x 39,1131 = 18,304,884

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


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