Is 20 a Prime or Composite Number? Number Theory Classification

Question

Is the number equal to n n prime or composite?

n=20 n=20

Video Solution

Step-by-Step Solution

To determine if n=20 n = 20 is prime or composite, we need to examine its divisors.

  • Step 1: Identify divisors of 20, other than 1 and 20 itself.
    Since 20 is an even number, it is divisible by 2. So, 2 is a divisor of 20.
  • Step 2: Check divisibility by other small numbers:
    - 20 divided by 4 equals 5 (another divisor).
    - Additionally, 20÷5=4 20 \div 5 = 4 , confirming 5 is also a divisor.

Since 20 has divisors other than 1 and itself (including 2, 4, and 5), it is not a prime number.

Therefore, the number n=20 n = 20 is Composite.

Answer

Composite