Is 1801 a prime number?

The number 1801 has 2 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 1801 is a prime number. The factors of 1801 are 1 and 1801.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 1801 has exactly 2 factors, hence making it a prime 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 1801 would simply be

Divisors of 1801 = 1, 1801
Number of divisors = 2

Since 1801 has only 2 divisors, it is a prime number.
 

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 1801 are 1 and 1801.

Thus, 1801 consists of only 2 factors that divide it completely without any remainder.
 

The prime number chart is the list of prime numbers starting from 2 to infinity.

The prime numbers from 1800 to 1900 include:
1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889

1801 is present in this list, confirming that it is a prime number.

• Prime Number: A number greater than 1 that has no divisors other than 1 and itself. Prime numbers cannot be divided evenly by any number other than these two.

• Divisibility Test: A method used to determine if a number can be evenly divided by another number. If a number divides without leaving a remainder, it is divisible by that number.

• Divisors: The numbers that divide another number completely without leaving a remainder. For example, the divisors of 1801 are 1 and 1801.

• Square Root: A number that, when multiplied by itself, gives the original number. It is often used in prime number tests to check divisibility up to the square root of the number.

• Composite Number: A number that has more than two divisors, i.e., it is divisible by numbers other than 1 and itself. A composite number is the opposite of a prime number.