Is 162 a prime number?

The number 162 has got 12 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 162 is a non-prime number. The factors of 162 include 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.

For a number to be a prime number, it should follow the criteria that it should not have more than 2 factors. Here, 162 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below:

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization
    

For the counting divisors method, it is checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 162 would simply be:

Divisors of 162 = 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Number of divisors = 12

The number 162 can be considered composite.
 

In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

The divisors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162.

Thus, 162 consists of 12 factors that divide it completely without any remainder.

The prime number chart is the list of prime numbers starting from 2 to infinity.

The list of prime numbers under 200 includes:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.

162 is not present in the list; hence, it is not a prime number.

This method is only used for a non-prime number/composite number. Since 162 is a composite number, the prime factorization for 162 is:

Factors of 162 = 2 × 3 × 3 × 3 × 3 or 2 × 3⁴
 

• Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 2, 3, and 5 are prime numbers.

• Composite Number: A natural number greater than 1 that has more than two positive divisors. For instance, 4, 6, and 8 are composite numbers.

• Divisibility Test: A method used to determine if one number can divide another completely, leaving no remainder. It is commonly applied to check a number's factors.

• Prime Factorization: The process of expressing a number as a product of its prime factors. For example, 28 can be written as 2×2×7

• Factors: Numbers that divide another number completely without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.