Q: What are the prime factors of the number 18,274,122?

 A: 2, 3, 71, 79, 181

Why are those the prime factors of the number 18,274,122?

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 18,274,122

18,274,122
Factor Arrows
29,137,061
Factor Arrows
33,045,687
Factor Arrows
31,015,229
Factor Arrows
7114,299
Factor Arrows
79181

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, 71, 79, 181

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 71 x 79 x 181 = 18,274,122

This can also be written as 21 x 32 x 711 x 791 x 1811 = 18,274,122

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


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