101 LearnersLast updated on May 26th, 2025
Factors of 732
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 732, how they are used in real life, and tips to learn them quickly.
What are the Factors of 732?
The numbers that divide 732 evenly are known as factors of 732.
A factor of 732 is a number that divides the number without remainder.
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, and 732.
Negative factors of 732: -1, -2, -3, -4, -6, -12, -61, -122, -183, -244, -366, and -732.
Prime factors of 732: 2, 3, and 61.
Prime factorization of 732: 2² × 3 × 61.
The sum of factors of 732: 1 + 2 + 3 + 4 + 6 + 12 + 61 + 122 + 183 + 244 + 366 + 732 = 1736
How to Find Factors of 732?
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 732. Identifying the numbers which are multiplied to get the number 732 is the multiplication method.
Step 1: Multiply 732 by 1, 732 × 1 = 732.
Step 2: Check for other numbers that give 732 after multiplying
2 × 366 = 732
3 × 244 = 732
4 × 183 = 732
6 × 122 = 732
12 × 61 = 732
Therefore, the positive factor pairs of 732 are: (1, 732), (2, 366), (3, 244), (4, 183), (6, 122), (12, 61).
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 732 by 1, 732 ÷ 1 = 732.
Step 2: Continue dividing 732 by the numbers until the remainder becomes 0.
732 ÷ 1 = 732
732 ÷ 2 = 366
732 ÷ 3 = 244
732 ÷ 4 = 183
732 ÷ 6 = 122
732 ÷ 12 = 61
Therefore, the factors of 732 are: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732.
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 732 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
732 ÷ 2 = 366
366 ÷ 2 = 183
183 ÷ 3 = 61
61 ÷ 61 = 1
The prime factors of 732 are 2, 3, and 61.
The prime factorization of 732 is: 2² × 3 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 732 is divided by 2 to get 366.
Step 2: Now divide 366 by 2 to get 183.
Step 3: Then divide 183 by 3 to get 61. Here, 61 is a prime number that cannot be divided anymore.
So, the prime factorization of 732 is: 2² × 3 × 61.
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 732: (1, 732), (2, 366), (3, 244), (4, 183), (6, 122), and (12, 61).
Negative factor pairs of 732: (-1, -732), (-2, -366), (-3, -244), (-4, -183), (-6, -122), and (-12, -61).
Common Mistakes and How to Avoid Them in Factors of 732
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 732, 1 and 732 is also a factor.
Factors of 732 Examples
Problem 1
There are 12 boxes and 732 chocolates. How will they be divided equally?
Each box will get 61 chocolates.
Explanation
To divide the chocolates equally, we need to divide the total chocolates by the number of boxes.
732/12 = 61
Problem 2
A garden is rectangular, the length of the garden is 3 meters, and the total area is 732 square meters. Find the width?
244 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 732 = 3 × width
To find the value of width, we need to shift 3 to the left side.
732/3 = width
Width = 244.
Problem 3
There are 61 baskets and 732 apples. How many apples will be in each basket?
Each basket will have 12 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
732/61 = 12
Problem 4
In a conference, there are 732 attendees, and 6 groups. How many attendees are there in each group?
There are 122 attendees in each group.
Explanation
Dividing the attendees by the total groups, we will get the number of attendees in each group.
732/6 = 122
Problem 5
732 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves will have 183 books.
Explanation
Divide total books by shelves.
732/4 = 183
FAQs on Factors of 732
1.What are the factors of 732?
2.Mention the prime factors of 732.
3.Is 732 a multiple of 3?
4.Mention the factor pairs of 732?
5.What is the square of 732?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 732?
7.What are some fun ways kids in United Kingdom can practice Factors of 732 with numbers?
8.What role do numbers and Factors of 732 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 732 skills?
Important Glossaries for Factors of 732
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, and 732.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 61 are prime factors of 732.
- 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 732 are (1, 732), (2, 366), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 732 is 2² × 3 × 61.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number, such as (1, 732), (2, 366) for 732.
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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.
