To find the square root of 324 using the factor method, we need to consider the prime factors of 324.
The factors of 324 are:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, and 324.
The prime factorization of 324 is:
2^2 × 3^4.
Now, let's simplify the prime factorization by taking out pairs of identical factors.
2^2 × 3^4 = (2 × 2) × (3 × 3 × 3 × 3) = 2 × 2 × 3 × 3 × 3 × 3 = (2 × 3)^2 × 3^2.
Therefore, the square root of 324 is √(2 × 3)^2 × 3^2 = 2 × 3 × 3 = 18.
Find the square root of 324 using factor method
1 answer