Square Root Of 2025 By Prime Factorization. 2025 is a “perfect square,” a number that’s the product of a squared integer — 45 times 45, in this case. We need to factories the number under the root and pair them in two.

The square root of 2025 by prime factorisation can be found by factorizing 2025 into its prime factors, grouping them into pairs, and multiplying one number from each pair together. Taking one factor from each pair after grouping the factors into pairs of identical factors, we get.