Q: What are the prime factors of the number 18,927,232?

 A: 2, 67, 2207

Why are those the prime factors of the number 18,927,232?

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 18,927,232

18,927,232
Factor Arrows
29,463,616
Factor Arrows
24,731,808
Factor Arrows
22,365,904
Factor Arrows
21,182,952
Factor Arrows
2591,476
Factor Arrows
2295,738
Factor Arrows
2147,869
Factor Arrows
672,207

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, 67, 2207

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 67 x 2,207 = 18,927,232

This can also be written as 27 x 671 x 2,2071 = 18,927,232

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


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