119 LearnersLast updated on May 26th, 2025
Factors of 713
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 713, how they are used in real life, and tips to learn them quickly.
What are the Factors of 713?
The numbers that divide 713 evenly are known as factors of 713.
A factor of 713 is a number that divides the number without a remainder.
The factors of 713 are 1, 23, 31, and 713.
Negative factors of 713: -1, -23, -31, and -713.
Prime factors of 713: 23 and 31.
Prime factorization of 713: 23 × 31.
The sum of factors of 713: 1 + 23 + 31 + 713 = 768
How to Find Factors of 713?
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 multiply to give 713. Identifying the numbers which are multiplied to get the number 713 is the multiplication method.
Step 1: Multiply 713 by 1, 713 × 1 = 713.
Step 2: Check for other numbers that give 713 after multiplying 23 × 31 = 713
Therefore, the positive factor pairs of 713 are: (1, 713), (23, 31).
All these factor pairs result in 713.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 713 by 1, 713 ÷ 1 = 713.
Step 2: Continue dividing 713 by the numbers until the remainder becomes 0.
713 ÷ 1 = 713
713 ÷ 23 = 31
713 ÷ 31 = 23
Therefore, the factors of 713 are: 1, 23, 31, 713.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 713 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
713 ÷ 23 = 31
31 ÷ 31 = 1
The prime factors of 713 are 23 and 31.
The prime factorization of 713 is: 23 × 31.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 713 is divided by 23 to get 31.
Here, 31 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 713 is: 23 × 31.
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 713: (1, 713), (23, 31).
Negative factor pairs of 713: (-1, -713), (-23, -31).
Common Mistakes and How to Avoid Them in Factors of 713
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 713, 1 and 713 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 713 consist of -1, -23, etc.
Mistake 3
Including the Fraction
Children might sometimes add a fraction as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 is a factor is incorrect, because 713/1.5 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 713 are prime numbers.
For example, 23 and 31 are the prime factors of 713, but it also has other factors like 1 and 713.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 713 correctly and missing key factors.
Factors of 713 Examples
Problem 1
There are 23 students and 713 pencils. How will they divide them equally?
They will get 31 pencils each.
Explanation
To divide the pencils equally, we need to divide the total pencils by the number of students.
713/23 = 31
Problem 2
A farmer has a rectangular field with a length of 31 meters and a total area of 713 square meters. Find the width.
23 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
713 = 31 × width
To find the value of width, we need to shift 31 to the left side.
713/31 = width
Width = 23.
Problem 3
There are 31 crates and 713 apples. How many apples will be in each crate?
Each crate will have 23 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
713/31 = 23
Problem 4
In a class, there are 713 students, and 23 groups. How many students are there in each group?
There are 31 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
713/23 = 31
Problem 5
713 books need to be arranged in 23 shelves. How many books will go on each shelf?
Each of the shelves has 31 books.
Explanation
Divide total books by the number of shelves.
713/23 = 31
FAQs on Factors of 713
1.What are the factors of 713?
2.Mention the prime factors of 713.
3.Is 713 a multiple of 23?
4.Mention the factor pairs of 713?
5.What is the square of 713?
6.How can children in Qatar use numbers in everyday life to understand Factors of 713?
7.What are some fun ways kids in Qatar can practice Factors of 713 with numbers?
8.What role do numbers and Factors of 713 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 713 skills?
Important Glossaries for Factors of 713
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 713 are 1, 23, 31, and 713.
- Prime factors: The factors which are prime numbers. For example, 23 and 31 are prime factors of 713.
- 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 713 are (1, 713) and (23, 31).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 713 is 23 × 31.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 713 are -1, -23, -31, and -713.
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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.
