Table Of Contents
Last updated on April 30th, 2025
The numbers that have only two factors, which are 1 and itself, are called prime numbers. Prime numbers are crucial for encryption, computer algorithms, and barcode generation. In this topic, we will be discussing whether 1494 is a prime number or not.
Numbers can typically be classified as either prime numbers or composite numbers, depending on the number of factors they have.
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.
Some properties of prime numbers include: -
The defining characteristic of a prime number is that it has only two divisors: 1 and itself. Since 1494 has more than two factors, it is not a prime number. There are various methods to distinguish between prime and composite numbers, such as:
The counting divisors method involves counting the number of divisors a number has to determine if it is prime or composite.
Let’s check whether 1494 is prime or composite.
Step 1: All numbers are divisible by 1 and itself.
Step 2: Divide 1494 by 2. It is divisible by 2, so 2 is a factor of 1494.
Step 3: Divide 1494 by 3. It is divisible by 3, so 3 is a factor of 1494.
Step 4: To simplify, consider checking divisors up to the square root of 1494.
Step 5: When we divide 1494 by 2, 3, and several other numbers, it is fully divisible by several of them.
Since 1494 has more than 2 divisors, it is a composite number.
The Divisibility Test Method involves using rules to check whether a number is divisible by another number without leaving a remainder.
Divisibility by 2: The number in the ones' place is 4, an even number, so 1494 is divisible by 2.
Divisibility by 3: The sum of the digits in the number 1494 is 18. Since 18 is divisible by 3, 1494 is also divisible by 3.
Divisibility by 5: The unit’s place digit is 4, so 1494 is not divisible by 5.
Divisibility by 7: Using the rule, 1494 is not divisible by 7.
Divisibility by 11: Applying the divisibility rule for 11, 1494 is not divisible by 11.
Since 1494 is divisible by multiple numbers, it has more than two factors, confirming it is a composite number.
The prime number chart is a tool created by using a method called “The Sieve of Eratosthenes.” In this method, we follow these steps:
Step 1: Write numbers from 1 to 100 in rows and columns.
Step 2: Leave 1 without coloring or crossing, as it is neither prime nor composite.
Step 3: Mark 2 as a prime number and cross out all multiples of 2.
Step 4: Mark 3 as a prime number and cross out all multiples of 3.
Step 5: Repeat this process for other numbers to identify primes up to 100.
Since 1494 is not included in the list of numbers less than 100, nor is it identified as a prime through other methods, it is confirmed as a composite number.
Prime factorization involves breaking down a number into its prime factors. Then, multiplying those factors gives the original number.
Step 1: We can write 1494 as 2 × 747.
Step 2: In 2 × 747, 747 is a composite number. Further, break 747 into 3 × 249.
Step 3: Continue factorization: 249 can be written as 3 × 83.
Step 4: Now we have the prime factors: 2, 3, 3, and 83.
Therefore, the prime factorization of 1494 is 2 × 3 × 3 × 83.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.