Is 629 a prime number?

The number 629 has multiple factors, which means it is not a prime number. The factors of 629 include 1, 17, 37, and 629.

A number to be a prime number should follow the criteria that it should not have more than 2 factors. Here, 629 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 629 would simply be:

Divisors of 629 = 1, 17, 37, 629
Number of divisors = 4

The number 629 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 629 are 1, 17, 37, and 629.

Thus, 629 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.

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

This method is only used for a non-prime number/composite number. Since 629 is a composite number, the prime factorization for 629 is:

Factors of 629 = 17 × 37

Prime Number: A number greater than 1 that has only two distinct divisors: 1 and itself. For example, 2, 3, and 5 are prime numbers. A prime number cannot be divided evenly by any other number.

Composite Number: A number greater than 1 that has more than two divisors. It can be divided evenly by numbers other than 1 and itself. For example, 629 is a composite number because it has divisors other than 1 and 629.

Divisors: Numbers that divide evenly into another number without leaving a remainder. For example, the divisors of 629 are 1, 17, 37, and 629.

Prime Factorization: The process of expressing a composite number as the product of its prime factors. For example, the prime factorization of 629 is 17 × 37.

Divisibility Test: A method used to determine whether a number can be evenly divided by another number (typically a prime number) without a remainder. This helps in identifying prime and composite numbers.