Perfect Square Factors of 4500 = 2×2×2
Understanding Perfect Square Factors:
Perfect square factors are the numbers that can be multiplied by themselves to give the original number. For example, the perfect square factors of 16 are 1, 2, 4, and 16.

Factorization of 4500:
To find the perfect square factors of 4500, we first need to factorize the number.
4500 can be written as: 4500 = 2 × 2 × 3 × 3 × 5 × 5

Identification of Perfect Square Factors:
In order to find the perfect square factors, we need to look for pairs of identical numbers in the factorization.
In the factorization of 4500, we have two pairs of 2s (2 × 2), one pair of 3s (3 × 3), and one pair of 5s (5 × 5).

Calculation of Perfect Square Factors:
When we multiply the pairs of identical numbers, we get:
2 × 2 = 4
3 × 3 = 9
5 × 5 = 25
Therefore, the perfect square factors of 4500 are 2, 3, and 5, which can be written as 2 × 2 × 2.