Is 1483 a Prime Number?

There are two types of numbers, mostly — Prime numbers and composite numbers, depending on the number of factors. A prime number is a natural number that is divisible only by 1 and itself. For example, 3 is a prime number because it is divisible by 1 and itself.

A composite number is a positive number that is divisible by more than two numbers. For example, 6 is divisible by 1, 2, 3, and 6 making it a composite number.

Prime numbers follow few properties like-

• Prime numbers are positive numbers always greater than 1.
• 2 is the only even prime number.
• They have only two factors: 1 and the number itself.
• Any two distinct prime numbers are co-prime numbers because they have only one common factor that is 1.
• As 1483 has only two factors, it is a prime number.

The characteristic of a prime number is that it has only two divisors: 1 and itself. Since 1483 has exactly two factors, it is a prime number. Few methods are used to distinguish between prime and composite numbers. A few methods are:

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

The method in which we count the number of divisors to categorize the numbers as prime or composite is called the counting divisors method. Based on the count of the divisors, we categorize prime and composite numbers.

• If there is a total count of only 2 divisors, then the number would be prime.
• If the count is more than 2, then the number is composite.

Let’s check whether 1483 is prime or composite.

Step 1: All numbers are divisible by 1 and itself.

Step 2: Check divisibility of 1483 by numbers up to its square root, approximately 38.

Step 3: 1483 is not divisible by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.

Since 1483 has only 2 divisors, it is a prime number.

We use a set of rules, to check whether a number is divisible by another number completely or not. It is called the Divisibility Test Method.

Divisibility by 2: 1483 is an odd number, so it is not divisible by 2.

Divisibility by 3: The sum of the digits in the number 1483 is 16. Since 16 is not divisible by 3, 1483 is also not divisible by 3.

Divisibility by 5: The unit’s place digit is 3. Therefore, 1483 is not divisible by 5.

Divisibility by 7: Performing the divisibility test for 7, 1483 is not divisible by 7.

Divisibility by 11: The difference between the sum of the digits in odd positions and the sum of the digits in even positions is 2. This would mean that 1483 is not divisible by 11.

Since 1483 is not divisible by any numbers other than 1 and itself, it is a prime number.

The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow the following steps.

Step 1: Write numbers up to the approximate range, covering 1483.

Step 2: Leave 1 without coloring or crossing, as it is neither prime nor composite.

Step 3: Mark 2 because it is a prime number and cross out all the multiples of 2.

Step 4: Mark 3 because it is a prime number and cross out all the multiples of 3.

Step 5: Repeat this process until you reach the table consisting of marked and crossed boxes, except 1. Through this process, we identify 1483 as a prime number because it cannot be crossed out as a multiple of any smaller prime.

Prime factorization is a process of breaking down a number into prime factors. Then multiply those factors to obtain the original number.

Step 1: Begin factoring 1483 by testing divisibility with prime numbers like 2, 3, 5, 7, etc.

Step 2: Since 1483 is not divisible by any smaller prime numbers, it remains as 1483 itself.

Step 3: Hence, the prime factorization of 1483 is 1483.

• Prime number: A natural number greater than 1 that has no positive divisors other than 1 and itself.

• Composite number: A natural number greater than 1 that is not prime, meaning it has more than two distinct positive divisors.

• Divisibility: A number is divisible by another if it can be divided without leaving a remainder.

• Factors: Numbers that divide a given number exactly without leaving a remainder.

• Square root: A value that, when multiplied by itself, gives the original number.