100 LearnersLast updated on May 26th, 2025
Factors of 1385
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 1385, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1385?
The numbers that divide 1385 evenly are known as factors of 1385.
A factor of 1385 is a number that divides the number without remainder.
The factors of 1385 are 1, 5, 277, and 1385.
Negative factors of 1385: -1, -5, -277, and -1385.
Prime factors of 1385: 5 and 277.
Prime factorization of 1385: 5 × 277.
The sum of factors of 1385: 1 + 5 + 277 + 1385 = 1668
How to Find Factors of 1385?
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 1385. Identifying the numbers which are multiplied to get the number 1385 is the multiplication method.
Step 1: Multiply 1385 by 1, 1385 × 1 = 1385.
Step 2: Check for other numbers that give 1385 after multiplying 5 × 277 = 1385
Therefore, the positive factor pairs of 1385 are: (1, 1385) and (5, 277).
All these factor pairs result in 1385.
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 1385 by 1, 1385 ÷ 1 = 1385.
Step 2: Continue dividing 1385 by the numbers until the remainder becomes 0.
1385 ÷ 1 = 1385
1385 ÷ 5 = 277
Therefore, the factors of 1385 are: 1, 5, 277, and 1385.
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 1385 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1385 ÷ 5 = 277
277 ÷ 277 = 1
The prime factors of 1385 are 5 and 277.
The prime factorization of 1385 is: 5 × 277.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1385 is divided by 5 to get 277.
Step 2: Now divide 277 by 277 to get 1. Here, 277 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1385 is: 5 × 277.
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 1385: (1, 1385) and (5, 277).
Negative factor pairs of 1385: (-1, -1385) and (-5, -277).
Common Mistakes and How to Avoid Them in Factors of 1385
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
People 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 1385, 1 and 1385 are also factors.
Factors of 1385 Examples
Problem 1
A company has 5 branches and 1385 employees. How many employees are at each branch if distributed equally?
Each branch will have 277 employees.
Explanation
To distribute the employees equally, divide the total employees by the number of branches.
1385/5 = 277
Problem 2
A rectangular plot has a length of 5 meters and a total area of 1385 square meters. Find the width.
277 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
1385 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1385/5 = width
Width = 277.
Problem 3
A delivery service has 277 packages and 1385 boxes. How many packages will go into each box?
Each box will have 5 packages.
Explanation
To find the packages in each box, divide the total packages by the number of boxes.
1385/277 = 5
Problem 4
In a tournament, there are 1385 participants, and 5 teams. How many participants are there in each team?
There are 277 participants in each team.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
1385/5 = 277
Problem 5
1385 books need to be arranged in 277 shelves. How many books will go on each shelf?
Each of the shelves has 5 books.
Explanation
Divide total books by shelves.
1385/277 = 5
FAQs on Factors of 1385
1.What are the factors of 1385?
2.Mention the prime factors of 1385.
3.Is 1385 a multiple of 5?
4.Mention the factor pairs of 1385?
5.What is the square of 1385?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1385?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1385 with numbers?
8.What role do numbers and Factors of 1385 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1385 skills?
Important Glossaries for Factor of 1385
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1385 are 1, 5, 277, and 1385.
- Prime factors: The factors which are prime numbers. For example, 5 and 277 are prime factors of 1385.
- 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 1385 are (1, 1385) and (5, 277).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 1385 is 5 × 277.
- Negative factors: Factors that are negative numbers, which divide the original number without leaving a remainder. For example, -1, -5, -277, and -1385 are negative factors of 1385.
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About BrightChamps in United Arab Emirates
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.
