Q: What are the prime factors of the number 18,842,916?

 A: 2, 3, 31, 37

Why are those the prime factors of the number 18,842,916?

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 18,842,916

18,842,916
Factor Arrows
29,421,458
Factor Arrows
24,710,729
Factor Arrows
31,570,243
Factor Arrows
3150,653
Factor Arrows
371,369
Factor Arrows
3737

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, 31, 37

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 31 x 37 x 37 x 37 = 18,842,916

This can also be written as 22 x 31 x 311 x 373 = 18,842,916

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


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