Perfect Cube Factors of 4500
Factors of a number are numbers that can be multiplied to give the original number. Perfect cube factors are numbers that can be multiplied by themselves three times to give the original number. In this case, we will find the perfect cube factors of 4500.

Prime Factorization of 4500
To find the perfect cube factors of 4500, we first need to find the prime factorization of 4500.
4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5
Now we can group the prime factors in sets of three since we are looking for perfect cube factors.

Identifying Perfect Cube Factors
From the prime factorization of 4500, we can identify the perfect cube factors by grouping the prime factors in sets of three.
- 2 x 2 x 2 = 8
- 3 x 3 x 3 = 27
- 5 x 5 x 5 = 125
Therefore, the perfect cube factors of 4500 are 8, 27, and 125. These are the numbers that can be multiplied by themselves three times to give the original number 4500.