132 LearnersLast updated on May 26th, 2025
Factors of 1752
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 1752, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1752?
The numbers that divide 1752 evenly are known as factors of 1752.
A factor of 1752 is a number that divides the number without a remainder.
The factors of 1752 are 1, 2, 3, 4, 6, 12, 146, 219, 292, 438, 584, 876, and 1752.
Negative factors of 1752: -1, -2, -3, -4, -6, -12, -146, -219, -292, -438, -584, -876, and -1752.
Prime factors of 1752: 2 and 3.
Prime factorization of 1752: 23 × 3 × 73.
The sum of factors of 1752: 1 + 2 + 3 + 4 + 6 + 12 + 146 + 219 + 292 + 438 + 584 + 876 + 1752 = 4335
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How to Find Factors of 1752?
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 1752. Identifying the numbers which are multiplied to get the number 1752 is the multiplication method.
Step 1: Multiply 1752 by 1, 1752 × 1 = 1752.
Step 2: Check for other numbers that give 1752 after multiplying
2 × 876 = 1752
3 × 584 = 1752
4 × 438 = 1752
6 × 292 = 1752
12 × 146 = 1752
Therefore, the positive factor pairs of 1752 are: (1, 1752), (2, 876), (3, 584), (4, 438), (6, 292), (12, 146).
All these factor pairs result in 1752.
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 1752 by 1, 1752 ÷ 1 = 1752.
Step 2: Continue dividing 1752 by the numbers until the remainder becomes 0.
1752 ÷ 1 = 1752
1752 ÷ 2 = 876
1752 ÷ 3 = 584
1752 ÷ 4 = 438
1752 ÷ 6 = 292
1752 ÷ 12 = 146
Therefore, the factors of 1752 are: 1, 2, 3, 4, 6, 12, 146, 219, 292, 438, 584, 876, 1752.
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 1752 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1752 ÷ 2 = 876
876 ÷ 2 = 438
438 ÷ 2 = 219
219 ÷ 3 = 73
73 ÷ 73 = 1
The prime factors of 1752 are 2, 3, and 73.
The prime factorization of 1752 is: 23 × 3 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1752 is divided by 2 to get 876.
Step 2: Now divide 876 by 2 to get 438.
Step 3: Then divide 438 by 2 to get 219.
Step 4: Divide 219 by 3 to get 73. Here, 73 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1752 is: 23 × 3 × 73.
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 1752: (1, 1752), (2, 876), (3, 584), (4, 438), (6, 292), (12, 146).
Negative factor pairs of 1752: (-1, -1752), (-2, -876), (-3, -584), (-4, -438), (-6, -292), (-12, -146).
Common Mistakes and How to Avoid Them in Factors of 1752
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 1752, 1 and 1752 are also factors.
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 1752 consist of -1, -2, -3, 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 1752/1.5 = 1168, 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 1752 are prime numbers.
For example, 2 and 3 are some of the prime factors of 1752, but it has other factors like 4, 12.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1752 as 23 × 3 × 73 and missing key factors.
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Factors of 1752 Examples
Problem 1
There are 12 friends and 1752 candies. How will they divide it equally?
They will get 146 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1752/12 = 146
Problem 2
A garden is rectangular, the length of the garden is 146 meters and the total area is 1752 square meters. Find the width?
12 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1752 = 146 × width
To find the width, we need to shift 146 to the left side.
1752/146 = width
Width = 12.
Problem 3
There are 6 boxes and 1752 oranges. How many oranges will be in each box?
Each box will have 292 oranges.
Explanation
To find the oranges in each box, divide the total oranges by the boxes.
1752/6 = 292
Problem 4
In a class, there are 438 students, and 2 groups. How many students are there in each group?
There are 219 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
438/2 = 219
Problem 5
1752 books need to be arranged in 12 shelves. How many books will go on each shelf?
Each of the shelves has 146 books.
Explanation
Divide total books by shelves.
1752/12 = 146
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FAQs on Factors of 1752
1.What are the factors of 1752?
2.Mention the prime factors of 1752.
3.Is 1752 a multiple of 3?
4.Mention the factor pairs of 1752?
5.What is the square of 1752?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1752?
7.What are some fun ways kids in Bahrain can practice Factors of 1752 with numbers?
8.What role do numbers and Factors of 1752 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1752 skills?
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Important Glossaries for Factor of 1752
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1752 are 1, 2, 3, 4, 6, 12, 146, 219, 292, 438, 584, 876, and 1752.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 73 are prime factors of 1752.
- 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 1752 are (1, 1752), (2, 876), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 1752 = 23 × 3 × 73.
- Multiple: A number that can be divided by another number without a remainder. For example, 1752 is a multiple of 3.
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About BrightChamps in Bahrain
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.
