Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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: 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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 685 apples and 5 baskets. How will they distribute them equally?
They will get 137 apples each.
To distribute the apples equally, we need to divide the total apples by the number of baskets.
685/5 = 137
A rectangular garden has a width of 5 meters and a total area of 685 square meters. Find the length.
137 meters.
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.
There are 137 boxes and 685 candies. How many candies will be in each box?
Each box will have 5 candies.
To find the candies in each box, divide the total candies with the boxes.
685/137 = 5
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.
Dividing the employees with the total teams, we will get the number of employees in each team.
685/137 = 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.
Divide total books with shelves.
685/5 = 137
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.
: She loves to read number jokes and games.