Q: What are the prime factors of the number 18,477,918?

 A: 2, 3, 19, 97, 557

Why are those the prime factors of the number 18,477,918?

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 18,477,918

18,477,918
Factor Arrows
29,238,959
Factor Arrows
33,079,653
Factor Arrows
31,026,551
Factor Arrows
1954,029
Factor Arrows
97557

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, 97, 557

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 97 x 557 = 18,477,918

This can also be written as 21 x 32 x 191 x 971 x 5571 = 18,477,918

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


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