117 LearnersLast updated on May 26th, 2025
Factors of 985
Factors are the numbers that divide any given number evenly without a 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 985, how they are used in real life, and tips to learn them quickly.
What are the Factors of 985?
The numbers that divide 985 evenly are known as factors of 985.
A factor of 985 is a number that divides the number without a remainder.
The factors of 985 are 1, 5, 197, and 985.
Negative factors of 985: -1, -5, -197, and -985.
Prime factors of 985: 5 and 197.
Prime factorization of 985: 5 × 197.
The sum of factors of 985: 1 + 5 + 197 + 985 = 1188
How to Find Factors of 985?
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 985. Identifying the numbers which are multiplied to get the number 985 is the multiplication method.
Step 1: Multiply 985 by 1, 985 × 1 = 985.
Step 2: Check for other numbers that give 985 after multiplying 5 × 197 = 985
Therefore, the positive factor pairs of 985 are: (1, 985) and (5, 197). All these factor pairs result in 985.
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 985 by 1, 985 ÷ 1 = 985.
Step 2: Continue dividing 985 by the numbers until the remainder becomes 0.
985 ÷ 1 = 985
985 ÷ 5 = 197
Therefore, the factors of 985 are: 1, 5, 197, and 985.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 985 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
985 ÷ 5 = 197
197 ÷ 197 = 1
The prime factors of 985 are 5 and 197.
The prime factorization of 985 is: 5 × 197.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 985 is divided by 5 to get 197.
Step 2: Since 197 is a prime number, the factorization ends here. So, the prime factorization of 985 is: 5 × 197.
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 985: (1, 985) and (5, 197).
Negative factor pairs of 985: (-1, -985) and (-5, -197).
Common Mistakes and How to Avoid Them in Factors of 985
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 985, 1 and 985 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 985 include -1, -5, -197, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 2.5 is a factor, because 985/2.5 = 394, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole number, not only just primes.
For example, thinking all the factors of 985 are prime numbers.
For example, 5 and 197 are the prime factors of 985, but it has other factors like 1, 985.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 985 as 5 × 197 and missing all the key factors.
Factors of 985 Examples
Problem 1
A group of 5 friends wants to equally distribute 985 candies among themselves. How many candies will each friend get?
Each friend will get 197 candies.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
985 ÷ 5 = 197
Problem 2
A farmer has a rectangular plot with a length of 5 meters and a total area of 985 square meters. Find the width of the plot.
197 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
985 = 5 × width
To find the value of width, we need to shift 5 to the left side.
985 ÷ 5 = width
Width = 197.
Problem 3
There are 197 boxes, and each box contains an equal number of apples totaling 985 apples. How many apples are in each box?
Each box will have 5 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
985 ÷ 197 = 5
Problem 4
In a school, there are 985 students, and they need to be divided equally into 5 groups for a competition. How many students will be in each group?
There are 197 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
985 ÷ 5 = 197
Problem 5
A library has 985 books that need to be arranged evenly in 5 shelves. How many books will go on each shelf?
Each shelf will have 197 books.
Explanation
Divide the total books by the number of shelves.
985 ÷ 5 = 197
FAQs on Factors of 985
1.What are the factors of 985?
2.Mention the prime factors of 985.
3.Is 985 a multiple of 5?
4.Mention the factor pairs of 985?
5.What is the square of 985?
Important Glossaries for Factors of 985
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 985 are 1, 5, 197, and 985.
- Prime factors: The factors which are prime numbers. For example, 5 and 197 are prime factors of 985.
- 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 985 are (1, 985) and (5, 197).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 985 is 5 × 197.
- Multiplication method: A method to find factors by identifying pairs of numbers that, when multiplied, result in the original number. For example, for 985, these pairs are (1, 985) and (5, 197).
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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.
