100 LearnersLast updated on May 26th, 2025
Factors of 1685
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 1685, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1685?
The numbers that divide 1685 evenly are known as factors of 1685.
A factor of 1685 is a number that divides the number without remainder.
The factors of 1685 are 1, 5, 337, and 1685.
Negative factors of 1685: -1, -5, -337, and -1685.
Prime factors of 1685: 5 and 337.
Prime factorization of 1685: 5 × 337.
The sum of factors of 1685: 1 + 5 + 337 + 1685 = 2028
How to Find Factors of 1685?
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 1685. Identifying the numbers which are multiplied to get the number 1685 is the multiplication method.
Step 1: Multiply 1685 by 1, 1685 × 1 = 1685.
Step 2: Check for other numbers that give 1685 after multiplying 5 × 337 = 1685
Therefore, the positive factor pairs of 1685 are: (1, 1685) and (5, 337).
All these factor pairs result in 1685.
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1685 by 1, 1685 ÷ 1 = 1685.
Step 2: Continue dividing 1685 by the numbers until the remainder becomes 0.
1685 ÷ 1 = 1685
1685 ÷ 5 = 337
Therefore, the factors of 1685 are: 1, 5, 337, 1685.
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 1685 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1685 ÷ 5 = 337
337 ÷ 337 = 1
The prime factors of 1685 are 5 and 337.
The prime factorization of 1685 is: 5 × 337.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1685 is divided by 5 to get 337.
Step 2: Now divide 337 by 337 to get 1. Here, 337 is a prime number, and it cannot be divided anymore. So, the prime factorization of 1685 is: 5 × 337.
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 1685: (1, 1685) and (5, 337).
Negative factor pairs of 1685: (-1, -1685) and (-5, -337).
Common Mistakes and How to Avoid Them in Factors of 1685
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 1685, 1 and 1685 are also factors.
Factors of 1685 Examples
Problem 1
A farmer has 1685 apples and wants to distribute them equally in 5 baskets. How many apples will each basket contain?
Each basket will contain 337 apples.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of baskets.
1685/5 = 337
Problem 2
A rectangular garden has a length of 5 meters and an area of 1685 square meters. Find the width of the garden.
337 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1685 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1685/5 = width
Width = 337.
Problem 3
There are 1685 pages and 337 binders. How many pages will each binder hold?
Each binder will hold 5 pages.
Explanation
To find the pages in each binder, divide the total pages by the number of binders.
1685/337 = 5
Problem 4
A classroom has 1685 chairs, and there are 5 rows. How many chairs are there in each row?
There are 337 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
1685/5 = 337
Problem 5
1685 students need to be organized into 337 groups. How many students will be in each group?
Each group will have 5 students.
Explanation
Divide the total students by the number of groups.
1685/337 = 5
FAQs on Factors of 1685
1.What are the factors of 1685?
2.Mention the prime factors of 1685.
3.Is 1685 a multiple of 5?
4.Mention the factor pairs of 1685?
5.What is the square of 1685?
Important Glossaries for Factor of 1685
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1685 are 1, 5, 337, and 1685.
- Prime factors: The factors which are prime numbers. For example, 5 and 337 are prime factors of 1685.
- 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 1685 are (1, 1685) and (5, 337).
- Prime factorization: The expression of a number as the product of its prime factors. For 1685, it is 5 × 337.
- Negative factors: Factors of a number that are negative. For example, negative factors of 1685 include -1, -5, -337, and -1685.
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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.
