Write the set of prime factors of 3234.

Answer

To find the set of prime factors of 3234, we will follow these steps:

### Step 1: Start with the number 3234
We need to factor 3234 into its prime factors.

### Step 2: Divide by the smallest prime number
We start by dividing 3234 by the smallest prime number, which is 2.
- 3234 ÷ 2 = 1617

### Step 3: Continue factoring the quotient
Now we take the quotient 1617 and check for divisibility by the next smallest prime number, which is 3.
- 1617 ÷ 3 = 539

### Step 4: Factor the next quotient
Next, we take 539 and check for divisibility by the next prime number, which is 7.
- 539 ÷ 7 = 77

### Step 5: Factor the next quotient
Now, we take 77 and check for divisibility by the next prime number, which is 7 again.
- 77 ÷ 7 = 11

### Step 6: Factor the last quotient
Finally, we take 11, which is a prime number itself.
- 11 ÷ 11 = 1

### Step 7: List the prime factors
Now we can list all the prime factors we have found:
- The prime factors of 3234 are 2, 3, 7, 7, and 11.

### Step 8: Write the set of prime factors
Since we need to write the set of prime factors, we will list each unique prime factor in curly brackets:
- The set of prime factors of 3234 is {2, 3, 7, 11}.

### Final Answer
The set of prime factors of 3234 is {2, 3, 7, 11}.

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