Q: What are the prime factors of the number 18,206,820?

 A: 2, 3, 5, 101149

Why are those the prime factors of the number 18,206,820?

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 18,206,820

18,206,820
Factor Arrows
29,103,410
Factor Arrows
24,551,705
Factor Arrows
31,517,235
Factor Arrows
3505,745
Factor Arrows
5101,149

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, 5, 101149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 101,149 = 18,206,820

This can also be written as 22 x 32 x 51 x 101,1491 = 18,206,820

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


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