Is 75 a Prime Number?

The number 75 has more than two factors, it is a composite number, it is not a prime number.

A number is said to be a prime or not a prime only when certain conditions are met. To find those there are methods to perform and when the conditions are met only the numbers are categorized as prime and composite numbers.

The methods to check any numbers are as follows:

• Count Divisor Method

• Divisibility Test

• Prime Number Table

• Prime Factorization

The counting of factors of a certain number is the selected factor with which a number can be a prime number or not.

• The Divisors of 75 are 1,3,5,15,25,and 75.

• The number 75 can be considered composite.

In this test, we find a number that divides another number without leaving any remainder.

• Divisors of 75 are 1,3,5,15,25 and 75. 

The prime numbers from 1 to 100 are listed below.

The prime number chart helps in sorting numbers through a list of numbers.

• 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.

We can see that 75 is not on the list. So, it is not a prime number.

Expressing numbers as the product of their factors.

Therefore, the prime factorization of 75 will be 3 × 5 × 5 or 3 × 52

• Twin prime: A pair of prime numbers which when subtracted gives the value of 2. For example, 3 and 5, 11 and 13 these are twin primes

• Perfect number:A perfect number is a positive integer which is equal to the sum of its proper divisors, excluding the number itself.

Example: 6=1+2+3. Here divisors of 6 are 1,2,3 which adds up to 6.

• Co-prime numbers : Two numbers with no common factor apart from 1.(e.g., 8 and 15)