Is 41 A Prime Number?

The number can be divided into 2 types. 

• Prime numbers

• Composite Numbers

From the prime factorization method we can see that here 1 and the number itself is the factor of 41. So if it’s a number, it has two factors so it's prime.

We say a number is prime if it meets two criteria:

The number will have only 2 factors, 1 and itself.

The number should possess only 2 factors.

So, now we’ll learn how to check whether the given number is prime or not. There are so many methods.

• Counting Divisor Method

• Divisibility Test

• Prime Number Chart

• Prime Factorization
   

We will be counting the number of divisors a number has to prove if it is a prime or not. Let us see it in a step by step process.

First, let us write down the divisors for 41.

Number of divisors for 41- 41 and 1.

We can see that 41 has only 2 divisors. So, it is a prime number.

In this test, we will be seeing by how many numbers, 41 is divisible with. We will be checking the divisibility with 2,3,5 and 7. If it is divisible by any of these numbers, it is not a prime number.

• Only even numbers are divisible by 2. As 41 is an odd number, it is not divisible by 2.For a number to be divisible by 3, the sum of the digits have to be a multiple of 3. 

• For example 36, sum of 3+6=9. ( is a multiple of 3. So, 36 is divisible by 3. But that is not the case for 41. If we add 4 and 1, we get 5 (4+1=5). And 5 is not a multiple of 3.

• A number is divisible by 5, if it ends with 0 or 5. But 41 ends with a 9. So, it is not divisible by 5.

• For 41 to be divisible by 7, the last digit (1) and to be doubled (1x2=2) and that has to be subtracted with the other digit (4). This will give us an answer of 2 (4-2=2). 2 is not a multiple of 7. So, 41 is not divisible.

We will be using a number chart that will have all the prime numbers between 1 and 100. This method is easy as it has no calculation. We need to search the given number in the chart. If it is there, then it is a prime number.

This chart proves that 41 is a prime number.
 

Applying this method, we break the large numbers into small numbers to check the factors. This method is applicable only for composite numbers.

If we apply the above procedure we note for 41, only two factors are 1 and 41. So 41 is a prime number.
 

• Natural number- All the numbers that are positive and whole numbers form 1.

• Odd and Even numbers- If the number is a multiple of 2 it is an even number, if not it is an odd number.

• Prime numbers- Numbers that have only 2 factors. 1 and the number itself.

• Composite numbers- A number that has more than 2 factors.