Is 20 a Prime or Composite Number? Number Theory Classification

Is the number equal to n n prime or composite?

n=20 n=20

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Step-by-step video solution

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00:00 Is the number composite or prime?
00:04 A prime number is only divisible by itself and 1
00:08 Therefore, if the number is divisible by another factor, it is not prime
00:12 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=20 n=20

2

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, 20รท5=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.

3

Final Answer

Composite

Practice Quiz

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Is the number equal to \( n \) prime or composite?

\( n=10 \)

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