Q: What are the prime factors of the number 32,526,360?

 A: 2, 3, 5, 10039

Why are those the prime factors of the number 32,526,360?

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 32,526,360

32,526,360
Factor Arrows
216,263,180
Factor Arrows
28,131,590
Factor Arrows
24,065,795
Factor Arrows
31,355,265
Factor Arrows
3451,755
Factor Arrows
3150,585
Factor Arrows
350,195
Factor Arrows
510,039

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, 10039

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 10,039 = 32,526,360

This can also be written as 23 x 34 x 51 x 10,0391 = 32,526,360

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


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