# Is 61 Prime Number Or Composite Number

Let's check 61 number is prime or composite.

## Check 61 Prime Number Or Not

Factors List of 61 :- 1
- 61

The factors number for **61** is **2** , that's why it is a prime number.

61 Is A Prime Number

## Check 61 Composite Number Or Not

If the numbers of factors are greater than 2 (1 and itself) is a composite number, now we check 61 numbers factors.

Factors List of 61 :- 1
- 61

The factors number for **61** is **2** so it is not a composite number.

61 is not a composite number.

## Solved Problems on 61 Prime Or Composite

Q.1: Find if 61 is a composite number.

Answer : No it is not a composite number, it is a prime number.

Q.1: Is 61 prime number or composite number ?

Answer : 61 is a prime number because it has only 2 divisors (1 and 61).

## Prime / Composite Number Selection Methods:

There are several ways to check if a number is prime or composite. One way is to use the trial division method, which involves dividing the number being tested by every integer between 2 and the square root of the number, and checking if any of these divisions result in a remainder of 0. If the number being tested is prime, none of the divisions should result in a remainder of 0.

For example, to check if the number 13 is prime, we would divide it by 2, 3, 4, 5, and 6 (since the square root of 13 is approximately 3.6). Since none of these divisions result in a remainder of 0, we can conclude that 13 is a prime number.

Another method for checking for prime numbers is the sieve of Eratosthenes, which is an algorithm that allows you to quickly find all of the prime numbers up to a certain limit by crossing out multiples of the primes that you have already found.

To use the sieve of Eratosthenes, start by writing out a list of the numbers from 2 to the limit that you want to find the prime numbers up to. Then, starting with the first number on the list (which is 2), cross out every second number on the list (since these are all multiples of 2). Next, move to the next number on the list that has not been crossed out (which is 3) and cross out every third number on the list. Continue this process until you have crossed out all of the multiples of the prime numbers on the list.

The numbers that are left on the list after all of the multiples have been crossed out are the prime numbers up to the limit that you specified.

There are also several other methods for checking for prime numbers, including the Fermat primality test and the Miller-Rabin primality test. These methods are more advanced and require more sophisticated mathematical concepts and algorithms, but they can be more efficient for larger numbers.

In summary, to check if a number is prime or composite, you can use the trial division method, the sieve of Eratosthenes, the Fermat primality test, or the Miller-Rabin primality test.