Q: What are the prime factors of the number 32,504,160?

 A: 2, 3, 5, 13, 5209

Why are those the prime factors of the number 32,504,160?

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 32,504,160

32,504,160
Factor Arrows
216,252,080
Factor Arrows
28,126,040
Factor Arrows
24,063,020
Factor Arrows
22,031,510
Factor Arrows
21,015,755
Factor Arrows
3338,585
Factor Arrows
567,717
Factor Arrows
135,209

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, 3, 5, 13, 5209

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 5,209 = 32,504,160

This can also be written as 25 x 31 x 51 x 131 x 5,2091 = 32,504,160

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


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