Write the following sets in roster form :
{prime factors pf 360}

Answer

To write the set of prime factors of 360 in roster form, we can follow these steps:

### Step 1: Find the prime factorization of 360
To do this, we can divide 360 by the smallest prime number and continue dividing until we reach 1.

1. **Divide by 2**:
- 360 ÷ 2 = 180
- 180 ÷ 2 = 90
- 90 ÷ 2 = 45 (we can no longer divide by 2)

2. **Next, divide by 3**:
- 45 ÷ 3 = 15
- 15 ÷ 3 = 5 (we can no longer divide by 3)

3. **Finally, divide by 5**:
- 5 ÷ 5 = 1

### Step 2: Write the prime factors
From the divisions above, we can summarize the prime factors:
- The prime factorization of 360 is \(2^3 \times 3^2 \times 5^1\).

### Step 3: List the unique prime factors
The unique prime factors we found are:
- 2
- 3
- 5

### Step 4: Write the set in roster form
Now we can write the set of prime factors in roster form:
\[ A = \{2, 3, 5\} \]

### Final Answer
The set of prime factors of 360 in roster form is:
\[ A = \{2, 3, 5\} \]

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