121 LearnersLast updated on May 26th, 2025
Factors of 685
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 685, how they are used in real life, and tips to learn them quickly.
What are the Factors of 685?
The numbers that divide 685 evenly are known as factors of 685.
A factor of 685 is a number that divides the number without remainder.
The factors of 685 are 1, 5, 137, and 685.
Negative factors of 685: -1, -5, -137, and -685.
Prime factors of 685: 5 and 137.
Prime factorization of 685: 5 × 137.
The sum of factors of 685: 1 + 5 + 137 + 685 = 828
How to Find Factors of 685?
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 685. Identifying the numbers that are multiplied to get the number 685 is the multiplication method.
Step 1: Multiply 685 by 1, 685 × 1 = 685.
Step 2: Check for other numbers that give 685 after multiplying: 5 × 137 = 685
Therefore, the positive factor pairs of 685 are: (1, 685) and (5, 137).
All these factor pairs result in 685. 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 685 by 1, 685 ÷ 1 = 685.
Step 2: Continue dividing 685 by the numbers until the remainder becomes 0.
685 ÷ 1 = 685
685 ÷ 5 = 137
685 ÷ 137 = 5
Therefore, the factors of 685 are: 1, 5, 137, and 685.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 685 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
685 ÷ 5 = 137
137 ÷ 137 = 1
The prime factors of 685 are 5 and 137.
The prime factorization of 685 is: 5 × 137.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 685 is divided by 5 to get 137.
Step 2: Now divide 137 by itself to get 1. Here, 137 is a prime number, which cannot be divided anymore. So, the prime factorization of 685 is: 5 × 137.
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 685: (1, 685) and (5, 137).
Negative factor pairs of 685: (-1, -685) and (-5, -137).
Common Mistakes and How to Avoid Them in Factors of 685
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 685, 1 and 685 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 685 consist of -1, -5, 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 685/1.5 ≈ 456.67, 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 685 are prime numbers.
For example, 5 and 137 are the prime factors of 685, but it has other factors like 1 and 685.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 685 as 5 × 137 and missing all the key factors.
Factors of 685 Examples
Problem 1
There are 685 apples and 5 baskets. How will they distribute them equally?
They will get 137 apples each.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of baskets.
685/5 = 137
Problem 2
A rectangular garden has a width of 5 meters and a total area of 685 square meters. Find the length.
137 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
685 = length × 5
To find the value of length, we need to shift 5 to the left side.
685/5 = length
Length = 137.
Problem 3
There are 137 boxes and 685 candies. How many candies will be in each box?
Each box will have 5 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
685/137 = 5
Problem 4
In a company, there are 685 employees and 137 teams. How many employees are there in each team?
There are 5 employees in each team.
Explanation
Dividing the employees with the total teams, we will get the number of employees in each team.
685/137 = 5
Problem 5
685 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 137 books.
Explanation
Divide total books with shelves.
685/5 = 137
FAQs on Factors of 685
1.What are the factors of 685?
2.Mention the prime factors of 685.
3.Is 685 a multiple of 5?
4.Mention the factor pairs of 685?
5.What is the square of 685?
6.How can children in India use numbers in everyday life to understand Factors of 685?
7.What are some fun ways kids in India can practice Factors of 685 with numbers?
8.What role do numbers and Factors of 685 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 685 skills?
Important Glossaries for Factor of 685
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 685 are 1, 5, 137, and 685.
- Prime factors: The factors which are prime numbers. For example, 5 and 137 are prime factors of 685.
- 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 685 are (1, 685) and (5, 137).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 685 is 5 × 137.
- Multiplication method: A method used to find factors by identifying pairs of numbers that multiply to give the original number. For example, using multiplication to find factors of 685 gives (1, 685) and (5, 137).
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 685
About BrightChamps in India
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.
