Number Classification: Is 22 Prime or Composite?

Question

Is the number equal to n n prime or composite?

n=22 n=22

Video Solution

Step-by-Step Solution

To solve this problem, we'll determine whether n=22 n = 22 is a prime or composite number.

We follow these steps:

  • Step 1: List possible divisors of 22 22 other than 1 1 and 22 22 itself.
  • Step 2: Test 22 22 for divisibility by these numbers.
  • Step 3: Conclude based on the results.

Step 1: The numbers to consider are 2,3,4,5,... 2, 3, 4, 5, ... up to the square root of 22 22 , rounded up, which is approximately 4.7. Thus, feasible numbers are 2,3,4 2, 3, 4 .

Step 2: Check each number:

  • Is 22÷2 \text{Is } 22 \div 2 a whole number? Yes, 22÷2=11 22 \div 2 = 11 .

Step 3: Since 22 22 is divisible by 2 2 , it has at least one divisor other than 1 1 and itself.

Therefore, n=22 n = 22 is a composite number.

Thus, the correct choice from the given options is: Composite.

Answer

Composite