Is 97 a prime number?

Is 97 a prime number? Yes, 97 is a prime number. Therefore, it will have only two factors 1 and the number itself.

Factors of 97 → 1 and 97

If 1 and 97 are the only factors, then the number 97 appears in the multiplication table of 1 and 97 only. Like 97 there are many prime numbers, in Maths, that can be understood here.

What are Prime Numbers?

The prime numbers are those natural numbers that have only two factors. These two factors would be 1 and the number itself. Hence, a prime number cannot be written as a product of small natural numbers.

List of prime numbers 1 to 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Also, check: Prime Numbers from 1 to 1000

What are Composite Numbers?

The natural numbers that have factors more than two are called composite numbers. Therefore, the composite number can be written as the product of small natural numbers.

List of composite numbers 1 to 100:

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81,82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

How is 97 a Prime Number?

As we already discussed, a prime number has only two factors. Also, 97 is a prime number and has only two factors 1 and 97. Thus, we can say, 97 is not divisible by any other natural number apart from 1 and 97.

97 ÷ 1 = 97

97 ÷ 97 = 1

Now if we try to divide 97 by any other integer, then we will not get the result as a whole number.

97 ÷ 2 = 48.5

97 ÷ 10 = 9.7

97 ÷ 20 = 4.85

97 ÷ 45 = 2.16

Thus, we can see from the above practice that 97 is not divisible by any other integers. Hence, 97 is a non-composite number.

Other Forms of 97

Apart from being a prime number, 97 is categorized as:

A natural number
A positive integer
An odd number
A rational number
A composite number
A whole number

Solved Examples

Q.1: What are the factors of 97?

Solution: There are two factors of 97, they are 1 and 97.

Q.2: What is the fifth multiple of 97?

Solution: Given, the number is 97.

Fifth multiple of 97 = 5 x 97 = 485

Q.3: How many numbers are there between 1 and 97?

Solution: To find the numbers between two numbers we have to subtract the 2 from the larger number.

Therefore, numbers between 1 and 97 = 97 – 2 = 95

Practice Question

1. What is the product of -2 and 97?

2. What should be multiplied by -97 to get 97?

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