119 LearnersLast updated on May 26th, 2025
Factors of 1343
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 1343, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1343?
The numbers that divide 1343 evenly are known as factors of 1343.
A factor of 1343 is a number that divides the number without remainder.
The factors of 1343 are 1, 19, 71, and 1343.
Negative factors of 1343: -1, -19, -71, and -1343.
Prime factors of 1343: 19 and 71.
Prime factorization of 1343: 19 × 71.
The sum of factors of 1343: 1 + 19 + 71 + 1343 = 1434
How to Find Factors of 1343?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1343. Identifying the numbers which are multiplied to get the number 1343 is the multiplication method.
Step 1: Multiply 1343 by 1, 1343 × 1 = 1343.
Step 2: Check for other numbers that give 1343 after multiplying 19 × 71 = 1343
Therefore, the positive factor pairs of 1343 are: (1, 1343) and (19, 71).
All these factor pairs result in 1343.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 a simple division method
Step 1: Divide 1343 by 1, 1343 ÷ 1 = 1343.
Step 2: Continue dividing 1343 by the numbers until the remainder becomes 0.
1343 ÷ 1 = 1343
1343 ÷ 19 = 71
1343 ÷ 71 = 19
Therefore, the factors of 1343 are: 1, 19, 71, 1343.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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, prime factors of 1343 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1343 ÷ 19 = 71
71 ÷ 71 = 1
The prime factors of 1343 are 19 and 71.
The prime factorization of 1343 is: 19 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1343 is divided by 19 to get 71.
Step 2: Now divide 71 by 71 to get 1. Here, 71 is a prime number and cannot be divided anymore. So, the prime factorization of 1343 is: 19 × 71.
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 pairs of 1343: (1, 1343) and (19, 71).
Negative factor pairs of 1343: (-1, -1343) and (-19, -71).
Common Mistakes and How to Avoid Them in Factors of 1343
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 1343, 1 and 1343 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1343 consist of -1, -19, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1343/1.5 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 1343 are prime numbers.
For example, 19 and 71 are the prime factors of 1343, but it has other factors like 1, 1343.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1343 as 19 × 71 and missing all the key factors.
Factors of 1343 Examples
Problem 1
There are 19 friends and 1343 candies. How will they divide it equally?
They will get 71 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1343/19 = 71
Problem 2
A field is rectangular, the length of the field is 71 meters and the total area is 1343 square meters. Find the width?
19 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1343 = 71 × width
To find the value of width, we need to shift 71 to the left side.
1343/71 = width
Width = 19.
Problem 3
There are 71 bags and 1343 candies. How many candies will be in each bag?
Each bag will have 19 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags.
1343/71 = 19
Problem 4
In a class, there are 1343 students, and 19 groups. How many students are there in each group?
There are 71 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1343/19 = 71
Problem 5
1343 books need to be arranged in 71 shelves. How many books will go on each shelf?
Each of the shelves has 19 books.
Explanation
Divide total books with shelves.
1343/71 = 19
FAQs on Factors of 1343
1.What are the factors of 1343?
2.Mention the prime factors of 1343.
3.Is 1343 a multiple of 19?
4.Mention the factor pairs of 1343?
5.What is the square of 1343?
6.How can children in United States use numbers in everyday life to understand Factors of 1343?
7.What are some fun ways kids in United States can practice Factors of 1343 with numbers?
8.What role do numbers and Factors of 1343 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1343 skills?
Important Glossaries for Factors of 1343
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1343 are 1, 19, 71, and 1343.
- Prime factors: The factors which are prime numbers. For example, 19 and 71 are prime factors of 1343.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1343 are (1, 1343) and (19, 71).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1343 is 19 × 71.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1343 is a multiple of 19.
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About BrightChamps in United States
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.
