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Last updated on May 26th, 2025

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Is 1309 a prime number?

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Prime numbers have only 1 and the number itself, as factors. They are used in digital security and in securing digital payments. The topics below will help you gain more knowledge on the prime numbers and how they are getting categorized.

Is 1309 a prime number? for Qatari Students
Professor Greenline from BrightChamps

Is 1309 a prime number?

The number 1309 has multiple factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 1309 is a non-prime number. The factors of 1309 include 1, 7, 11, 19, 77, 91, 133, 209, and 1309.

 

Is 1309 a prime number

Professor Greenline from BrightChamps

Why is 1309 not a prime number?

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 1309 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
Professor Greenline from BrightChamps

Using the Counting Divisors Method

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 1309 would simply be:


Divisors of 1309 = 1, 7, 11, 19, 77, 91, 133, 209, 1309
Number of divisors = 9


The number 1309 can be considered composite.

Professor Greenline from BrightChamps

Using the Divisibility Method

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 1309 are 1, 7, 11, 19, 77, 91, 133, 209, and 1309.


Thus, 1309 consists of 9 factors that divide it completely without any remainder.

Professor Greenline from BrightChamps

Using the Prime Number Chart

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.


1309 is not present in the list, it is not a prime number.

Professor Greenline from BrightChamps

Using the Prime Factorization

This method is only used for a non-prime number/composite number. Since 1309 is a composite number, the prime factorization for 1309 is:


Factors of 1309 = 7 × 11 × 19
 

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Common mistakes to avoid when determining if 1309 is a prime number

It is highly likely we commit some mistakes due to confusion or unclear understanding. Let us look at possible mistakes we may make and try to avoid them.

Mistake 1

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Misinterpreting all numbers to be prime.

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A number being odd does not decide if the number will be prime. An odd number can also be a composite number.

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FAQ’s for “Is 1309 a prime number”

1.What is the largest prime factor of 1309?

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2.What is the smallest prime factor of 1309?

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3.Is 1309 a composite number?

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4.How to express 1309 as a product of prime factors?

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5.Represent 1309 in the prime factor tree?

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6.Do any perfect squares exist in the prime factors of 1309?

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7.Do any perfect cubes exist in the prime factors of 1309?

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8.What can 1309 be divided by?

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9.How can children in Qatar use numbers in everyday life to understand Is 1309 a prime number??

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10.What are some fun ways kids in Qatar can practice Is 1309 a prime number? with numbers?

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11.What role do numbers and Is 1309 a prime number? play in helping children in Qatar develop problem-solving skills?

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12.How can families in Qatar create number-rich environments to improve Is 1309 a prime number? skills?

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Professor Greenline from BrightChamps

Glossary for "Is 1309 a Prime Number?"

Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. Examples include 2, 3, and 5. A prime number cannot be divided evenly by any number other than 1 and itself.


Composite Number: A positive integer greater than 1 that has more than two positive divisors. For example, 1309 is a composite number because it has multiple factors (1, 7, 11, 19, 77, 91, 133, 209, and 1309).


Divisibility Test: A method used to determine whether one number can be divided by another without leaving a remainder. In this context, the divisibility test helps identify if 1309 can be divided by any prime numbers.


Prime Factorization: The process of breaking down a composite number into its prime factors. For 1309, the prime factorization is 7 × 11 × 19.


Counting Divisors Method: A technique to determine whether a number is prime by counting how many numbers divide it evenly. 1309 has 9 divisors (1, 7, 11, 19, 77, 91, 133, 209, 1309), making it a composite number.

Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, we know numbers are more than just digits—it’s a way to open doors to countless opportunities! Our mission is to help kids all across Qatar grasp important math skills, like today’s focus on the Is 1309 a prime number?with a special focus on understanding prime numbers—in a way that’s lively, enjoyable, and easy to follow. Whether your child is figuring out how fast a roller coaster speeds through Qatar’s Angry Birds World, keeping track of scores at a local football match, or managing their allowance to buy the latest gadgets, mastering numbers gives them the confidence they need for everyday challenges. Our interactive lessons make learning both simple and fun. Because kids in Qatar learn in many different ways, we tailor our approach to fit each child’s unique style. From the modern cityscape of Doha to the desert landscapes, BrightChamps brings math to life, making it relatable and exciting throughout Qatar. Let’s make prime numbers a fun part of every child’s math journey!
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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.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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