What perfect square goes into 150?

To determine what perfect square goes into 150, we need to find the largest perfect square that is a factor of 150.

### Step 1: Prime factorization of 150
We start by finding the prime factorization of 150:
150 ÷ 2 = 75
75 ÷ 3 = 25
25 = 5 × 5

So, the prime factorization of 150 is:
150 = 2 × 3 × 5²

### Step 2: Identify the perfect square factor
A perfect square is a number that can be expressed as the square of an integer. From the prime factorization, the term \( 5^2 \) is a perfect square. Therefore, \( 5^2 = 25 \) is a perfect square factor of 150.

### Step 3: Verify
150 ÷ 25 = 6 (an integer), confirming that 25 is a factor of 150.

### Final Answer:
The perfect square that goes into 150 is **25**.