129 LearnersLast updated on May 26th, 2025
Factors of 1409
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1409, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1409?
The numbers that divide 1409 evenly are known as factors of 1409.
A factor of 1409 is a number that divides the number without remainder.
The factors of 1409 are 1, 1409.
Negative factors of 1409: -1, -1409.
Prime factors of 1409: 1409 is a prime number, so it has no prime factors other than itself.
The sum of factors of 1409: 1 + 1409 = 1410
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
How to Find Factors of 1409?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1409. Identifying the numbers which are multiplied to get the number 1409 is the multiplication method.
Step 1: Multiply 1409 by 1, 1409 × 1 = 1409.
Step 2: Since 1409 is a prime number, no other pairs exist.
Therefore, the positive factor pair of 1409 is: (1, 1409).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following simple division method
Step 1: Divide 1409 by 1, 1409 ÷ 1 = 1409.
Step 2: Continue dividing 1409 by other numbers until we find a factor or determine it is prime.
Since 1409 is a prime number, it has no other divisors but 1 and itself.
Therefore, the factors of 1409 are: 1, 1409.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, since 1409 is a prime number, it cannot be broken down into other prime factors.
The prime factorization of 1409 is itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 1409 is a prime number itself, it does not have a factor tree that breaks it into smaller prime numbers.
The prime factorization of 1409 is just 1409.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pair of 1409: (1, 1409).
Negative factor pair of 1409: (-1, -1409).
Common Mistakes and How to Avoid Them in Factors of 1409
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1409, 1 and 1409 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1409 consist of -1 and -1409.
Mistake 3
Including the Fraction
Children might sometimes mistakenly add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1409/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1409 are prime numbers. 1409 itself is a prime number and hence its own factor.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up writing incorrect factors.
For example, not recognizing 1409 as a prime number and incorrectly attempting to break it down further.
Level Up with a Math Certification!
2X Faster Learning (Grades 1-12)
Factors of 1409 Examples
Problem 1
There are 1409 marbles to be distributed equally among 1409 children. How many marbles will each child receive?
Each child will receive 1 marble.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of children.
1409/1409 = 1
Problem 2
A museum has a long hallway that is 1409 meters long. They want to place a plant every meter. How many plants do they need?
They need 1409 plants.
Explanation
To find the number of plants needed, use the length of the hallway.
1409/1 = 1409
Problem 3
There are 1409 books and 1 shelf. How many books will be placed on the shelf?
All 1409 books will be placed on the shelf.
Explanation
To find the number of books per shelf, divide the total books by the number of shelves.
1409/1 = 1409
Problem 4
A company has 1409 employees and wants to form groups of equal size. If each group consists of only one employee, how many groups will they have?
They will have 1409 groups.
Explanation
Dividing the employees by the number in each group gives us the number of groups.
1409/1 = 1409
Problem 5
A concert hall has 1409 seats and sells all tickets for a show. How many tickets are sold?
1409 tickets are sold.
Explanation
The total number of tickets sold is equal to the number of seats.
1409/1 = 1409
Turn your child into a math star!
#1 Math Hack Schools Won't Teach!
FAQs on Factors of 1409
1.What are the factors of 1409?
2.Mention the prime factors of 1409.
3.Is 1409 a multiple of 7?
4.Mention the factor pairs of 1409?
5.What is the square of 1409?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1409?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1409 with numbers?
8.What role do numbers and Factors of 1409 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1409 skills?
Struggling with Math?
Get 1:1 Coaching to Boost Grades Fast !
Important Glossaries for Factors of 1409
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1409 are 1 and 1409.
- Prime number: A number that has no other divisors besides 1 and itself. For example, 1409 is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 1409 is (1, 1409).
- Multiplication method: Finding factors by identifying pairs of numbers that multiply to form the original number. For 1409, this results in the pair (1, 1409).
- Division method: Finding factors by dividing the number by other numbers until there is no remainder. For 1409, only 1 and 1409 divide it evenly.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 1409
About BrightChamps in United Arab Emirates
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.
