100 LearnersLast updated on May 26th, 2025
Factors of 1375
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 1375, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1375?
The numbers that divide 1375 evenly are known as factors of 1375.
A factor of 1375 is a number that divides the number without remainder.
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, and 1375.
Negative factors of 1375: -1, -5, -11, -25, -55, -125, -275, and -1375. Prime factors of 1375: 5 and 11.
Prime factorization of 1375: 5^3 × 11.
The sum of factors of 1375: 1 + 5 + 11 + 25 + 55 + 125 + 275 + 1375 = 1872
How to Find Factors of 1375?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 1375. Identifying the numbers which are multiplied to get the number 1375 is the multiplication method.
Step 1: Multiply 1375 by 1, 1375 × 1 = 1375.
Step 2: Check for other numbers that give 1375 after multiplying
5 × 275 = 1375
11 × 125 = 1375
25 × 55 = 1375
Therefore, the positive factor pairs of 1375 are: (1, 1375), (5, 275), (11, 125), and (25, 55).
All these factor pairs result in 1375.
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 which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1375 by 1, 1375 ÷ 1 = 1375.
Step 2: Continue dividing 1375 by the numbers until the remainder becomes 0.
1375 ÷ 1 = 1375
1375 ÷ 5 = 275
1375 ÷ 11 = 125
1375 ÷ 25 = 55
Therefore, the factors of 1375 are: 1, 5, 11, 25, 55, 125, 275, 1375.
Prime Factors and Prime Factorization
The factors can be found by dividing it by 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 1375 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1375 ÷ 5 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 1375 are 5 and 11.
The prime factorization of 1375 is: 53 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1375 is divided by 5 to get 275.
Step 2: Now divide 275 by 5 to get 55.
Step 3: Then divide 55 by 5 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1375 is: 53 × 11.
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 1375: (1, 1375), (5, 275), (11, 125), and (25, 55).
Negative factor pairs of 1375: (-1, -1375), (-5, -275), (-11, -125), and (-25, -55).
Common Mistakes and How to Avoid Them in Factors of 1375
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1375, 1 and 1375 are also factors.
Factors of 1375 Examples
Problem 1
A small library has 1375 books, and it needs to create sections with 5 shelves each. How many books will each shelf hold?
Each shelf will hold 275 books.
Explanation
To divide the books equally, we need to divide the total books by the number of shelves.
1375/5 = 275
Problem 2
A rectangular garden has a length of 11 meters and a total area of 1375 square meters. Find the width.
125 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1375 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1375/11 = width
Width = 125.
Problem 3
A company has 1375 units of a product to ship in 25 boxes. How many units will be in each box?
Each box will have 55 units.
Explanation
To find the units in each box, divide the total units by the number of boxes.
1375/25 = 55
Problem 4
There are 1375 students, and the school wants to create 11 groups. How many students are there in each group?
There are 125 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1375/11 = 125
Problem 5
A team has 1375 promotional flyers to distribute equally among 55 locations. How many flyers will each location receive?
Each location will receive 25 flyers.
Explanation
Divide the total flyers by the number of locations.
1375/55 = 25
FAQs on Factors of 1375
1.What are the factors of 1375?
2.Mention the prime factors of 1375.
3.Is 1375 a multiple of 11?
4.Mention the factor pairs of 1375?
5.What is the square of 1375?
Important Glossaries for Factor of 1375
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1375 are 1, 5, 11, 25, 55, 125, 275, and 1375.
- Prime factors: The factors which are prime numbers. For example, 5 and 11 are prime factors of 1375.
- 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 1375 are (1, 1375), (5, 275), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1375 is 53 × 11.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number. For example, the multiplication method for 1375 includes pairs like (5, 275).
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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.
