101 LearnersLast updated on May 26th, 2025
Factors of 752
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 752, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 752?
The numbers that divide 752 evenly are known as factors of 752.
A factor of 752 is a number that divides the number without remainder.
The factors of 752 are 1, 2, 4, 8, 94, 188, 376, and 752.
Negative factors of 752: -1, -2, -4, -8, -94, -188, -376, and -752.
Prime factors of 752: 2 and 47.
Prime factorization of 752: 2^3 × 47.
The sum of factors of 752: 1 + 2 + 4 + 8 + 94 + 188 + 376 + 752 = 1425
How to Find Factors of 752?
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 752. Identifying the numbers which are multiplied to get the number 752 is the multiplication method.
Step 1: Multiply 752 by 1, 752 × 1 = 752.
Step 2: Check for other numbers that give 752 after multiplying
2 × 376 = 752
4 × 188 = 752
8 × 94 = 752
Therefore, the positive factor pairs of 752 are: (1, 752), (2, 376), (4, 188), (8, 94).
All these factor pairs result in 752.
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 752 by 1, 752 ÷ 1 = 752.
Step 2: Continue dividing 752 by the numbers until the remainder becomes 0.
752 ÷ 1 = 752
752 ÷ 2 = 376
752 ÷ 4 = 188
752 ÷ 8 = 94
Therefore, the factors of 752 are: 1, 2, 4, 8, 94, 188, 376, 752.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 752 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
752 ÷ 2 = 376
376 ÷ 2 = 188
188 ÷ 2 = 94
94 ÷ 2 = 47
47 ÷ 47 = 1
The prime factors of 752 are 2 and 47.
The prime factorization of 752 is: 2^3 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 752 is divided by 2 to get 376.
Step 2: Now divide 376 by 2 to get 188.
Step 3: Then divide 188 by 2 to get 94.
Step 4: Divide 94 by 2 to get 47.
Here, 47 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 752 is: 2^3 × 47.
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 752: (1, 752), (2, 376), (4, 188), (8, 94).
Negative factor pairs of 752: (-1, -752), (-2, -376), (-4, -188), (-8, -94).
Common Mistakes and How to Avoid Them in Factors of 752
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 752, 1 and 752 are also factors.
Factors of 752 Examples
Problem 1
A group of 8 friends is planting 752 trees. How many trees will each friend plant if shared equally?
Each friend will plant 94 trees.
Explanation
To divide the trees equally, we need to divide the total trees by the number of friends.
752/8 = 94
Problem 2
A rectangular garden has a length of 47 meters, and the total area is 752 square meters. Find the width.
16 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
752 = 47 × width
To find the value of width, we need to shift 47 to the left side.
752/47 = width
Width = 16.
Problem 3
There are 94 children and 752 candies. How many candies will each child receive?
Each child will receive 8 candies.
Explanation
To find the candies each child will receive, divide the total candies by the children.
752/94 = 8
Problem 4
In a library, there are 752 books, and they need to be distributed equally into 4 sections. How many books will be in each section?
There will be 188 books in each section.
Explanation
Dividing the books by the total sections, we will get the number of books in each section.
752/4 = 188
Problem 5
752 seats are to be arranged in 2 rows. How many seats will be in each row?
Each row will have 376 seats.
Explanation
Divide total seats by the number of rows.
752/2 = 376
FAQs on Factors of 752
1.What are the factors of 752?
2.Mention the prime factors of 752.
3.Is 752 a multiple of 4?
4.Mention the factor pairs of 752?
5.What is the cube of 752?
6.How can children in Australia use numbers in everyday life to understand Factors of 752?
7.What are some fun ways kids in Australia can practice Factors of 752 with numbers?
8.What role do numbers and Factors of 752 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 752 skills?
Important Glossaries for Factor of 752
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 752 are 1, 2, 4, 8, 94, 188, 376, and 752.
- Prime factors: The factors which are prime numbers. For example, 2 and 47 are prime factors of 752.
- 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 752 are (1, 752), (2, 376), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For instance, the prime factorization of 752 is 2^3 × 47.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 752 is a multiple of 4.
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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
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