Q: What are the prime factors of the number 18,860,032?

 A: 2, 9209

Why are those the prime factors of the number 18,860,032?

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 18,860,032

18,860,032
Factor Arrows
29,430,016
Factor Arrows
24,715,008
Factor Arrows
22,357,504
Factor Arrows
21,178,752
Factor Arrows
2589,376
Factor Arrows
2294,688
Factor Arrows
2147,344
Factor Arrows
273,672
Factor Arrows
236,836
Factor Arrows
218,418
Factor Arrows
29,209

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, 9209

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 2 x 2 x 2 x 2 x 9,209 = 18,860,032

This can also be written as 211 x 9,2091 = 18,860,032

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


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