100 LearnersLast updated on May 26th, 2025
Factors of 747
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 747, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 747?
The numbers that divide 747 evenly are known as factors of 747.
A factor of 747 is a number that divides the number without remainder.
The factors of 747 are 1, 3, 9, 83, 249, and 747.
Negative factors of 747: -1, -3, -9, -83, -249, and -747.
Prime factors of 747: 3 and 83.
Prime factorization of 747: 3² × 83.
The sum of factors of 747: 1 + 3 + 9 + 83 + 249 + 747 = 1092
How to Find Factors of 747?
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 747. Identifying the numbers which are multiplied to get the number 747 is the multiplication method.
Step 1: Multiply 747 by 1, 747 × 1 = 747.
Step 2: Check for other numbers that give 747 after multiplying
3 × 249 = 747
9 × 83 = 747
Therefore, the positive factor pairs of 747 are: (1, 747), (3, 249), (9, 83).
All these factor pairs result in 747.
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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 747 by 1, 747 ÷ 1 = 747.
Step 2: Continue dividing 747 by the numbers until the remainder becomes 0.
747 ÷ 1 = 747
747 ÷ 3 = 249
747 ÷ 9 = 83
Therefore, the factors of 747 are: 1, 3, 9, 83, 249, 747.
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 747 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
747 ÷ 3 = 249
249 ÷ 3 = 83
83 ÷ 83 = 1
The prime factors of 747 are 3 and 83.
The prime factorization of 747 is: 3² × 83.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 747 is divided by 3 to get 249.
Step 2: Now divide 249 by 3 to get 83.
Step 3: 83 is a prime number, so it cannot be divided further. So, the prime factorization of 747 is: 3² × 83.
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 747: (1, 747), (3, 249), (9, 83).
Negative factor pairs of 747: (-1, -747), (-3, -249), (-9, -83).
Common Mistakes and How to Avoid Them in Factors of 747
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 747, 1 and 747 are also factors.
Factors of 747 Examples
Problem 1
A baker has 747 cupcakes and wants to pack them into boxes such that each box contains the same number of cupcakes. If he can only use boxes that contain more than one cupcake, how many boxes can he use if he wants a perfect fit?
He can use 3 boxes, each containing 249 cupcakes.
Explanation
To divide the cupcakes equally, we need to find a factor of 747 that is greater than 1.
One such factor is 3, which results in 249 cupcakes per box.
Problem 2
A rectangular garden has an area of 747 square meters. If the length of the garden is 9 meters, what is the width?
83 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
747 = 9 × width
To find the value of width, we need to shift 9 to the left side.
747/9 = width
Width = 83.
Problem 3
A company has 747 promotional items and wants to distribute them equally among 83 stores. How many items will each store receive?
Each store will receive 9 items.
Explanation
To find the items each store will receive, divide the total items by the number of stores.
747/83 = 9
Problem 4
A library has 747 books and plans to arrange them equally in 3 sections. How many books will each section have?
Each section will have 249 books.
Explanation
Dividing the books with the total sections, we will get the number of books in each section.
747/3 = 249
Problem 5
747 pieces of candy need to be organized into gift bags, with each bag containing 83 pieces. How many gift bags will be filled?
9 gift bags will be filled.
Explanation
Divide the total number of candies by the number of candies per bag.
747/83 = 9
FAQs on Factors of 747
1.What are the factors of 747?
2.Mention the prime factors of 747.
3.Is 747 a multiple of 9?
4.Mention the factor pairs of 747?
5.What is the square of 747?
6.How can children in Australia use numbers in everyday life to understand Factors of 747?
7.What are some fun ways kids in Australia can practice Factors of 747 with numbers?
8.What role do numbers and Factors of 747 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 747 skills?
Important Glossaries for Factor of 747
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 747 are 1, 3, 9, 83, 249, and 747.
- Prime factors: The factors which are prime numbers. For example, 3 and 83 are prime factors of 747.
- 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 747 are (1, 747), (3, 249), (9, 83).
- Prime factorization: The process of breaking down a number into its prime factors. For instance, 747 has a prime factorization of 3² × 83.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using 3 × 249 to find factors of 747.
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About BrightChamps in Australia
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.
