Is 97 A Prime Number?

Yes, 97 is a prime number. But according to what we are saying, why is it a prime number? Let's understand that, firstly, the number set is of two parts:

• Prime number

• composite numbers

And using one of the methods we're going to introduce you to, we will find that indeed 97 is prime.

We could determine that a number is prime when it has exactly 2 factors, which are 1 and the number itself, and should have only 2 divisors. If a number does not satisfy such conditions, then we cannot conclude that this number is prime.

However, there are pretty simple methods to determine whether a number is prime or not:

• Count Divisor Method

• Divisibility Test

• Prime Number Table

• Prime Factorization
   

The name itself states that we're counting how many divisors a particular number has, and then declaring that number prime based on this. It is as simple as it is easy to learn. Let's see what the different steps in this are.

1.First is to count how many the number holds in divisors.

2.We can then see that 97 has only 2 factors: 1 and 97.

3.From this, we deduce 97 is a prime number.

For instance 4/2=2. Here we clearly see a whole number as our answer, but no number when we try 97 will get this.
 

Here, we'll check whether 97 is divisible by any other no. If it gets divided, then it is not a prime number. Now let's check with 2,3,5 and 7.

• 97 is not divisible by 2, as it does not end with an even number.

• For 97 to be a multiple of 3, the sum of its digits is to be a multiple of 3. Now, 9+7=16 and 16 is not a multiple of 3.

• The number has to end up in either 0 or 5 to be divisible by 5. And you see, it ends up with 7. So it is not.

• For 97 to be divisible by 7, that last digit 7 and that must be doubled 7 × 2 = 14 and that must be subtracted with the other digit 9. The difference will be 5 14–9 = 5, which is not a multiple of 7. Hence, it's not divisible.
   

Now, in this, we use a chart which contains all prime numbers. From this we check that number is there in the chart or not, and give the notification of prime or not.

There will be a table of prime numbers from 1 to 100.

From the figure above we can notice that there is 97. This will be selected as 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 97, only two factors are 1 and 97. So 97 is a prime number.
 

• Composite number: The number which possesses more than 1 factor is named as composite number. Like, example- 18 is factorized into 2x32 thus it is a composite number. 

• Co-prime Numbers: These numbers have a GCF of 1. 

• GCF- Greatest common factor is the highest factor that appears for a set of numbers. 

• Divisor- A number to be divided along with other numbers is called the divisor.