Factors of 985
2026-02-28 17:49 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-985

228 Learners

Last updated on December 15, 2025

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

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.

Explore Our Programs

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: 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.

Download Worksheets

Problem 1

A group of 5 friends wants to equally distribute 985 candies among themselves. How many candies will each friend get?

Okay, lets begin

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

Well explained 👍

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.

Okay, lets begin

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.

Well explained 👍

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?

Okay, lets begin

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

Well explained 👍

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?

Okay, lets begin

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

Well explained 👍

Problem 5

A library has 985 books that need to be arranged evenly in 5 shelves. How many books will go on each shelf?

Okay, lets begin

Each shelf will have 197 books.

Explanation

Divide the total books by the number of shelves.

985 ÷ 5 = 197

Well explained 👍

FAQs on Factors of 985

1.What are the factors of 985?

1, 5, 197, and 985 are the factors of 985.

2.Mention the prime factors of 985.

The prime factors of 985 are 5 and 197.

3.Is 985 a multiple of 5?

4.Mention the factor pairs of 985?

(1, 985) and (5, 197) are 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).

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.