Is 2501 a prime number?

The number 2501 has got 6 factors, which are capable of dividing the number completely without leaving any remainder. Thus, the number 2501 is a non-prime number. The factors of 2501 include 1, 41, 61, 2501, 1681, and 2501.

For a number to be considered prime, it must have no more than 2 factors: 1 and the number itself. Since 2501 has more than 2 factors, it is classified as a composite number.

Below are a few methods used to determine whether a number is prime or composite.

The different methods 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
    

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

For 2501, the divisors are:

Divisors of 2501 = 1, 41, 61, 2501, 1681
Number of divisors = 6

Since 2501 has more than 2 divisors, it is a composite number.
 

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

The divisors of 2501 are 1, 41, 61, and 2501.

Thus, 2501 has 6 factors that divide it completely without leaving any remainder, confirming that it is not a prime number.
 

The prime number chart lists all 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.

2501 is not on this list, so it is not a prime number.
 

This method is only used for non-prime (composite) numbers. Since 2501 is a composite number, the prime factorization for 2501 is:

 
Factors of 2501 = 41 × 61
 

• Prime Number: A natural number greater than 1 that has no positive 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 positive divisors. It is the opposite of a prime number. For example, 4, 6, 8, and 2501 are composite numbers.

• Divisibility Test: A method used to determine if one number can be divided by another number without leaving a remainder. If a number divides another number evenly, the first number is a divisor of the second.

• Prime Factorization: The process of breaking down a composite number into the prime numbers that multiply together to give the original number. For example, the prime factorization of 2501 is 41 × 61.

• Divisors: The numbers that divide another number completely, leaving no remainder. For 2501, the divisors are 1, 41, 61, 1681, and 2501.