Determine if 36 is Prime or Composite: Number Classification Problem

Is the number equal to n n prime or composite?

n=36 n=36

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Step-by-step video solution

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00:00 Is the number composite or prime?
00:03 A prime number is only divisible by itself and 1
00:07 Therefore, if the number is divisible by another factor, it is not prime
00:11 The number has other factors, therefore it is composite
00:15 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Is the number equal to n n prime or composite?

n=36 n=36

2

Step-by-step solution

To determine whether 36 is a prime or composite number, we need to check if it has divisors other than 1 and 36:

  • Step 1: Calculate the square root of 36, which is 6. This means we only need to test divisibility by numbers up to and including 6.
  • Step 2: Check divisibility by 2. Since 36 is an even number (divisible by 2), it has a divisor other than 1 and itself.

Therefore, since 36 is divisible by 2 (and also by other numbers such as 3, 4, and more), it has divisors other than just 1 and 36. This means it cannot be a prime number.

Conclusively, the number 36 is Composite.

3

Final Answer

Composite

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Which of the numbers is a prime number?

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