Is 194 a prime number?

The number 194 has got 4 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 194 is a non-prime number. The factors of 194 include 1, 2, 97, and 194.

For a number to be a prime number, it must follow the criterion of having only 2 factors: 1 and itself. Here, 194 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to determine whether a number is prime or composite.

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 to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 194 would simply be:

Divisors of 194 = 1, 2, 97, 194
Number of divisors = 4

The number 194 can be considered composite.
 

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

In this case:

• The divisors of 194 are 1, 2, 97, and 194.
• Since 194 has more than 2 factors, it is not a prime number.
   

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

The list of prime numbers under 200 is:

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.

Since 194 is not present in the list, it is not a prime number.
 

This method is only used for non-prime/composite numbers. Since 194 is a composite number, the prime factorization for 194 is:

Factors of 194 = 2 × 97
 

• Prime Number: A number greater than 1 that has only two distinct factors: 1 and itself. Examples include 2, 3, 5, and 7.

• Composite Number: A number greater than 1 that has more than two factors. For example, 4, 6, 8, and 194 are composite numbers.

• Divisibility Test: A method used to check if a number can be divided evenly (without remainder) by another number, such as 2, 3, or 5.

• Prime Factorization: Breaking down a composite number into a product of its prime factors. For example, 194 = 2 × 97.

• Factors: Numbers that divide another number completely without leaving a remainder. For 194, the factors are 1, 2, 97, and 194.