Is 146 a prime number?

The number 146 has got 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus the number 146 is a non-prime number. The factors of 146 include 1, 2, 73, and 146.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 146 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 to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 146 would simply be

Divisors of 146 = 1, 2, 73, 146
Number of divisors = 4

The number 146 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 146 are 1, 2, 73, and 146.

Thus, 146 consists of 4 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 100 are;
2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

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

This method is only used for a non-prime number/composite number. Since 146 is a composite number, the prime factorization for 146 is:

Factors of 146 = 2 × 73

Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. 146 is not a prime number because it has more than two divisors (1, 2, 73, and 146).

Composite Number: A number that has more than two divisors. Since 146 has divisors other than 1 and itself, it is a composite number.

Divisors: The numbers that can divide a given number completely without leaving a remainder. For 146, the divisors are 1, 2, 73, and 146.

Prime Factorization: The process of expressing a number as a product of prime numbers. The prime factorization of 146 is 2 × 73.

Divisibility Test: A method used to determine whether a number is divisible by another number. For 146, the divisibility test shows it is divisible by 2 and 73, confirming it is not prime.