Is 3235 a prime number?

The number 3235 has 6 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 3235 is a non-prime number. The factors of 3235 include 1, 5, 7, 23, 35, and 3235.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 3235 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below.

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization
    

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 3235 would simply be:

Divisors of 3235 = 1, 5, 7, 23, 35, 3235
Number of divisors = 6

The number 3235 can be considered composite.
 

In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

The divisors of 3235 are 1, 5, 7, 23, 35, and 3235.

Thus, 3235 consists of 6 factors that divide it completely without any remainder.
 

The prime number chart is the list of prime numbers starting from 2 to infinity.

The list of prime numbers under 100 are:

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.

3235 is not present in the list, so it is not a prime number.
 

This method is only used for a non-prime number/composite number. Since 3235 is a composite number, the prime factorization for 3235 is:

Factors of 3235 = 5 × 7 × 23

• Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Example: 2, 3, and 5 are prime numbers.

• Composite Number: A natural number greater than 1 that has more than two positive divisors. It can be factored into smaller natural numbers. Example: 3235 is a composite number.

• Divisibility Test: A method used to determine if a number is divisible by another number without leaving a remainder. For example, 3235 is divisible by 5, 7, and 23.

• Prime Factorization: The process of expressing a number as a product of prime numbers. For 3235, the prime factorization is 5×7×23

• Divisors: Numbers that can divide a given number without leaving a remainder. The divisors of 3235 are 1, 5, 7, 23, 35, and 3235.