Is 1651 a prime number?

The number 1651 has got 4 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 1651 is a non-prime number. The factors of 1651 include 1, 13, 127, and 1651.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 1651 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find 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:

Counting Divisors Method
Divisibility Test
Prime Number Chart
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 1651 would simply be:

Divisors of 1651 = 1, 13, 127, 1651
Number of divisors = 4

The number 1651 can be considered composite.

In the divisibility 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 1651 are 1, 13, 127, and 1651.

Thus, 1651 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 from 1600 to 1700 are:
1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699

1651 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 1651 is a composite number, the prime factorization for 1651 is:

Factors of 1651 = 13 × 127

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 distinct positive divisors. For instance, 4, 6, and 9 are composite numbers.

Divisibility Test: A method to determine whether one number is divisible by another without leaving a remainder. This is often used to check for factors of a number.

Prime Factorization: The process of breaking down a composite number into its prime factors. For example, 1651 = 13 × 127.

Factors: Numbers that divide another number completely without leaving a remainder. For 1651, the factors are 1, 13, 127, and 1651.