214 LearnersLast updated on May 26th, 2025
Is 1009 a Prime Number?
How do we describe prime numbers? It's quite simple. It is a number which is 1 and has only two factors. The only two factors are 1 and the number itself. These two factors can divide the number, leaving no reminder. In this topic, let us learn more about prime numbers.
Is 1009 a Prime Number?
The number 1009 is indeed considered as a prime number because it has only two divisors, which are the number one and itself. They have no other factors.
Why Is 1009 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
Using the Counting Divisors Method
Counting divisors method refers to a type of method where we count the number of divisors of a particular number to find out whether the number is a prime number or not.
If we look at 1009 we can see that it has only 2 divisors which are 1 and 1009 . Since 1009 has only 2 divisors, it is a prime number.
Using the Divisibility Test Method
In this test, we try to find out the prime numbers that divide the number without leaving any reminder.
Hence, we can see that there are no prime numbers that are able to easily divide 1009 without leaving any remainder. Hence, this proves that 1009 is a prime number.
Using Prime Number Chart
This is a rather simple method where we write down all the prime numbers until we cross the required number, for example let's write down all the prime numbers from 1 to 1009. 2, 3, 5, 7…. 991, 997, 1009. From looking at the above list, we can see that 1009 is a prime number.
Using the Prime Factorization Method
Prime factorization is a method where we represent a composite number based on the factors of two prime numbers.
In this case, the prime factors of the number 1009 are none, hence it is a prime number.
Common Mistakes to Avoid When learning about 1009 a Prime Number.
While learning about prime numbers, it is common for children to end up in situations where mistakes can happen. Given below are a few mistakes, which will help students have an understanding of the mistakes.
Mistake 1
Believing that all odd numbers are prime numbers
To avoid this mistake, one should remember that a prime number has exactly two different divisors. As in the case of 1009 we can see that it has no divisors at all, making it a prime number.
FAQs Of “Is 1009 a Prime Number?”
1.What is the expression of 1009 in terms of prime product?
2.Why is 1 not a prime number?
3.Are there such numbers as negative prime numbers?
4.What is the largest prime number before 1009?
Important Glossaries for "Is 1009 a Prime Number"
- Divisibility Test: It refers to a method where we can check if a number is divisible by any prime number.
- Prime Factorization: Multiplying two prime numbers to get one number is called prime factorization
- Composite Number : When more than two numbers can divide a number, it is called a composite number.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
