Q: What are the prime factors of the number 18,472,491?

 A: 3, 79, 25981

Why are those the prime factors of the number 18,472,491?

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 18,472,491

18,472,491
Factor Arrows
36,157,497
Factor Arrows
32,052,499
Factor Arrows
7925,981

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:

3, 79, 25981

We can check our work by multiplying all of the prime factors together: 3 x 3 x 79 x 25,981 = 18,472,491

This can also be written as 32 x 791 x 25,9811 = 18,472,491

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


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