Is 1711 a prime number?

The number 1711 has 4 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 1711 is a non-prime number. The factors of 1711 include 1, 29, 59, and 1711.

For a number to be considered prime, it should have no more than 2 factors: 1 and itself. Here, 1711 has more than 2 factors, making it a composite number.

Given below are a few ways to determine if a number is prime or composite.

Methods to check if a number is a prime number

The different methods explained below can help you check if a number is prime:

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

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

For 1711, the counting divisors method is as follows:

Divisors of 1711 = 1, 29, 59, 1711

Number of divisors = 4

Since 1711 has more than 2 divisors, it is a composite number.

In the divisibility test, we try to divide the number by smaller prime numbers. If it is divisible by any of them, it is not a prime number.

For 1711, the divisors are 1, 29, 59, and 1711.

Thus, 1711 consists of 4 factors that divide it completely without any remainder.

The prime number chart lists prime numbers from 2 to infinity.

The list of prime numbers from 1700 to 1800 are:
1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789

1711 is not present in this list, confirming that it is not a prime number.

This method is used for composite numbers. Since 1711 is a composite number, its prime factorization is:

Factors of 1711 = 29 × 59

Prime Number: A natural number greater than 1 that has no divisors other than 1 and itself. For example, 2, 3, 5, and 7 are prime numbers.

Composite Number: A natural number greater than 1 that has more than two divisors. 1711 is a composite number because it has divisors other than 1 and itself (1, 29, 59, and 1711).

Divisors: The numbers that divide a given number completely without leaving a remainder. For example, the divisors of 1711 are 1, 29, 59, and 1711.

Prime Factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1711 is 29 × 59.

Divisibility Test: A method used to determine if a number is divisible by another without performing full division. It helps identify whether a number is prime or composite based on its divisibility by smaller prime numbers.