Q: What are the prime factors of the number 18,455,004?

 A: 2, 3, 19, 26981

Why are those the prime factors of the number 18,455,004?

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 18,455,004

18,455,004
Factor Arrows
29,227,502
Factor Arrows
24,613,751
Factor Arrows
31,537,917
Factor Arrows
3512,639
Factor Arrows
1926,981

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, 19, 26981

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 19 x 26,981 = 18,455,004

This can also be written as 22 x 32 x 191 x 26,9811 = 18,455,004

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


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