Is 1709 a prime number?

The number 1709 has exactly 2 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 1709 is a prime number. The factors of 1709 include 1 and 1709.

A number to be a prime number should follow the criteria that it should have no factors other than 1 and itself. Here, 1709 has only 2 factors, making it a prime number.

Given below are a few ways that can be used to identify whether a number is a prime number or not.

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

The counting divisors method for 1709 would simply be:

Divisors of 1709 = 1, 1709
Number of divisors = 2

The number 1709 can be considered a prime number.

In the divisibility test, we try to divide the number by any of the smaller prime numbers. If we cannot divide it without a remainder, the number is considered a prime number.

For 1709, no prime number (other than 1 and 1709 itself) divides it completely without leaving a remainder. Hence, 1709 is a prime number.

The prime number chart is a list of prime numbers starting 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

1709 is present in the list, confirming it is a prime number.

Prime Number: A number greater than 1 that has exactly two distinct positive divisors: 1 and itself.

Composite Number: A number greater than 1 that has more than two positive divisors.

Divisibility: The ability of one number to be divided by another without leaving a remainder.

Prime Factorization: The process of expressing a number as a product of its prime factors.

Perfect Square: A number that can be expressed as the square of an integer, such as 4 = 2² or 9 = 3².