138 LearnersLast updated on May 26th, 2025
Factors of 1755
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 1755, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1755?
The numbers that divide 1755 evenly are known as factors of 1755.
A factor of 1755 is a number that divides the number without remainder.
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 195, 351, 585, and 1755.
Negative factors of 1755: -1, -3, -5, -9, -13, -15, -27, -39, -45, -65, -117, -195, -351, -585, and -1755.
Prime factors of 1755: 3, 5, and 13.
Prime factorization of 1755: 3 × 3 × 3 × 5 × 13.
The sum of factors of 1755: 1 + 3 + 5 + 9 + 13 + 15 + 27 + 39 + 45 + 65 + 117 + 195 + 351 + 585 + 1755 = 3225
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How to Find Factors of 1755?
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 1755. Identifying the numbers which are multiplied to get the number 1755 is the multiplication method.
Step 1: Multiply 1755 by 1, 1755 × 1 = 1755.
Step 2: Check for other numbers that give 1755 after multiplying:
3 × 585 = 1755
5 × 351 = 1755
9 × 195 = 1755
13 × 135 = 1755
15 × 117 = 1755
27 × 65 = 1755
39 × 45 = 1755
Therefore, the positive factor pairs of 1755 are: (1, 1755), (3, 585), (5, 351), (9, 195), (13, 135), (15, 117), (27, 65), (39, 45).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1755 by 1, 1755 ÷ 1 = 1755.
Step 2: Continue dividing 1755 by the numbers until the remainder becomes 0.
1755 ÷ 1 = 1755
1755 ÷ 3 = 585
1755 ÷ 5 = 351
1755 ÷ 9 = 195
1755 ÷ 13 = 135
1755 ÷ 15 = 117
1755 ÷ 27 = 65
1755 ÷ 39 = 45
Therefore, the factors of 1755 are: 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 195, 351, 585, 1755.
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 1755 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1755 ÷ 3 = 585
585 ÷ 3 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
The prime factors of 1755 are 3, 5, and 13.
The prime factorization of 1755 is: 3 × 3 × 3 × 5 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1755 is divided by 3 to get 585.
Step 2: Now divide 585 by 3 to get 195.
Step 3: Then divide 195 by 3 to get 65.
Step 4: Divide 65 by 5 to get 13. Here, 13 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1755 is: 3 × 3 × 3 × 5 × 13.
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 1755: (1, 1755), (3, 585), (5, 351), (9, 195), (13, 135), (15, 117), (27, 65), (39, 45).
Negative factor pairs of 1755: (-1, -1755), (-3, -585), (-5, -351), (-9, -195), (-13, -135), (-15, -117), (-27, -65), (-39, -45).
Common Mistakes and How to Avoid Them in Factors of 1755
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 1755, 1 and 1755 is also a factor.
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 1755 consist of -1, -3, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1755/1.5 = 1170, 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 1755 are prime numbers.
For example, 3 and 5 are the prime factors of 1755, but it has other factors like 9, 45.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1755 as 3 × 3 × 3 × 5 × 13 and missing all the key factors.
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Factors of 1755 Examples
Problem 1
A company has 1755 units of product and wants to distribute them evenly among 9 warehouses. How many units will each warehouse receive?
Each warehouse will receive 195 units.
Explanation
To distribute the units equally, we need to divide the total units by the number of warehouses.
1755/9 = 195
Problem 2
A rectangular garden has a length of 27 meters and a total area of 1755 square meters. What is the width of the garden?
65 meters.
Explanation
To find the width of the garden, we use the formula:
Area = length × width
1755 = 27 × width
To find the value of width, we need to divide 1755 by 27.
1755/27 = width
Width = 65.
Problem 3
There are 5 classrooms and 1755 students. How many students will be in each classroom?
Each classroom will have 351 students.
Explanation
To find the number of students in each classroom, divide the total students by the number of classrooms.
1755/5 = 351
Problem 4
A book fair has 1755 books, and 39 sections. How many books are there in each section?
There are 45 books in each section.
Explanation
Dividing the books by the total sections, we will get the number of books in each section.
1755/39 = 45
Problem 5
1755 chairs need to be arranged in 13 rows. How many chairs will go in each row?
Each row will have 135 chairs.
Explanation
Divide the total number of chairs by the number of rows.
1755/13 = 135
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FAQs on Factors of 1755
1.What are the factors of 1755?
2.Mention the prime factors of 1755.
3.Is 1755 a multiple of 45?
4.Mention the factor pairs of 1755.
5.What is the square of 1755?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1755?
7.What are some fun ways kids in Bahrain can practice Factors of 1755 with numbers?
8.What role do numbers and Factors of 1755 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1755 skills?
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Important Glossaries for Factors of 1755
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 195, 351, 585, and 1755.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 13 are prime factors of 1755.
- 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 1755 are (1, 1755), (3, 585), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1755 is 3 × 3 × 3 × 5 × 13.
- Multiple: A number that can be divided by another number without a remainder. For example, 1755 is a multiple of 45.
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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.
