102 LearnersLast updated on May 26th, 2025
Factors of 1085
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 1085, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1085?
The numbers that divide 1085 evenly are known as factors of 1085.
A factor of 1085 is a number that divides the number without remainder.
The factors of 1085 are 1, 5, 217, and 1085.
Negative factors of 1085: -1, -5, -217, and -1085.
Prime factors of 1085: 5 and 217.
Prime factorization of 1085: 5 × 217.
The sum of factors of 1085: 1 + 5 + 217 + 1085 = 1308
How to Find Factors of 1085?
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 pairs of numbers that are multiplied to give 1085. Identifying the numbers which are multiplied to get the number 1085 is the multiplication method.
Step 1: Multiply 1085 by 1, 1085 × 1 = 1085.
Step 2: Check for other numbers that give 1085 after multiplying
5 × 217 = 1085
Therefore, the positive factor pairs of 1085 are: (1, 1085) and (5, 217).
All these factor pairs result in 1085.
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 1085 by 1, 1085 ÷ 1 = 1085.
Step 2: Continue dividing 1085 by the numbers until the remainder becomes 0.
1085 ÷ 1 = 1085
1085 ÷ 5 = 217
Therefore, the factors of 1085 are: 1, 5, 217, 1085.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1085 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1085 ÷ 5 = 217
217 ÷ 217 = 1
The prime factors of 1085 are 5 and 217.
The prime factorization of 1085 is: 5 × 217.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1085 is divided by 5 to get 217.
Step 2: Now divide 217 by 217 to get 1.
Here, 217 is a prime number, that cannot be divided anymore.
So, the prime factorization of 1085 is: 5 × 217.
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 1085: (1, 1085) and (5, 217).
Negative factor pairs of 1085: (-1, -1085) and (-5, -217).
Common Mistakes and How to Avoid Them in Factors of 1085
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 1085, 1 and 1085 are also factors.
Factors of 1085 Examples
Problem 1
There are 5 people and 1085 marbles. How will they divide it equally?
They will get 217 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of people.
1085 ÷ 5 = 217
Problem 2
A garden is rectangular, the length of the garden is 5 meters and the total area is 1085 square meters. Find the width?
217 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1085 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1085 ÷ 5 = width
Width = 217.
Problem 3
There are 217 boxes and 1085 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.
1085 ÷ 217 = 5
Problem 4
In a class, there are 1085 students, and 5 sections. How many students are there in each section?
There are 217 students in each section.
Explanation
Dividing the students with the total sections, we will get the number of students in each section.
1085 ÷ 5 = 217
Problem 5
1085 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 217 books.
Explanation
Divide total books with shelves.
1085 ÷ 5 = 217
FAQs on Factors of 1085
1.What are the factors of 1085?
2.Mention the prime factors of 1085.
3.Is 1085 a multiple of 5?
4.Mention the factor pairs of 1085?
5.Is 217 a prime number?
6.How can children in Australia use numbers in everyday life to understand Factors of 1085?
7.What are some fun ways kids in Australia can practice Factors of 1085 with numbers?
8.What role do numbers and Factors of 1085 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1085 skills?
Important Glossaries for Factors of 1085
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1085 are 1, 5, 217, and 1085.
- Prime factors: The factors which are prime numbers. For example, 5 and 217 are prime factors of 1085.
- 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 1085 are (1, 1085) and (5, 217).
- Prime number: A number that has only two distinct positive divisors: 1 and itself. For example, 217 is a prime factor of 1085.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1085 is 5 × 217.
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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
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