138 LearnersLast updated on May 28th, 2025
Factors of 1313
Factors are the numbers that divide any given number evenly without a 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 1313, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1313?
The numbers that divide 1313 evenly are known as factors of 1313.
A factor of 1313 is a number that divides the number without a remainder.
The factors of 1313 are 1, 13, 101, and 1313.
Negative factors of 1313: -1, -13, -101, and -1313.
Prime factors of 1313: 13 and 101.
Prime factorization of 1313: 13 × 101.
The sum of factors of 1313: 1 + 13 + 101 + 1313 = 1428
How to Find Factors of 1313?
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 1313. Identifying the numbers which are multiplied to get the number 1313 is the multiplication method.
Step 1: Multiply 1313 by 1, 1313 × 1 = 1313.
Step 2: Check for other numbers that give 1313 after multiplying
13 × 101 = 1313
Therefore, the positive factor pairs of 1313 are: (1, 1313) and (13, 101).
All these factor pairs result in 1313.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 1313 by 1, 1313 ÷ 1 = 1313.
Step 2: Continue dividing 1313 by the numbers until the remainder becomes 0.
1313 ÷ 1 = 1313
1313 ÷ 13 = 101
1313 ÷ 101 = 13
Therefore, the factors of 1313 are: 1, 13, 101, 1313.
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, prime factors of 1313 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1313 ÷ 13 = 101
101 ÷ 101 = 1
The prime factors of 1313 are 13 and 101.
The prime factorization of 1313 is: 13 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1313 is divided by 13 to get 101.
Step 2: Now divide 101 by 101 to get 1.
So, the prime factorization of 1313 is: 13 × 101.
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 1313: (1, 1313), (13, 101).
Negative factor pairs of 1313: (-1, -1313), (-13, -101).
Common Mistakes and How to Avoid Them in Factors of 1313
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1313, 1 and 1313 is also a factor.
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 1313 consist of -1, -13, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1313/1.5 = 875.333, and it 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 1313 are prime numbers.
For example, 13 and 101 are the prime factors of 1313, but it has other factors like 1, 1313.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1313 as 13 × 101 and missing all the key factors.
Factors of 1313 Examples
Problem 1
There are 13 friends and 1313 marbles. How will they divide it equally?
They will get 101 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1313/13 = 101
Problem 2
A field is rectangular, the length of the field is 13 meters and the total area is 1313 square meters. Find the width?
101 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
1313 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1313/13 = width
Width = 101.
Problem 3
There are 101 bags and 1313 candies. How many candies will be in each bag?
Each bag will have 13 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
1313/101 = 13
Problem 4
In a class, there are 1313 students, and 101 groups. How many students are there in each group?
There are 13 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1313/101 = 13
Problem 5
1313 books need to be arranged in 13 shelves. How many books will go on each shelf?
Each of the shelves has 101 books.
Explanation
Divide total books by shelves.
1313/13 = 101
FAQs on Factors of 1313
1.What are the factors of 1313?
2.Mention the prime factors of 1313.
3.Is 1313 a multiple of 13?
4.Mention the factor pairs of 1313?
5.What is the square of 1313?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1313?
7.What are some fun ways kids in Qatar can practice Factors of 1313 with numbers?
8.What role do numbers and Factors of 1313 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1313 skills?
Important Glossaries for Factor of 1313
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1313 are 1, 13, 101, and 1313.
- Prime factors: The factors which are prime numbers. For example, 13 and 101 are prime factors of 1313.
- 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 1313 are (1, 1313) and (13, 101).
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 1313 is 13 × 101.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to form the original number.
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About BrightChamps in Qatar
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.
