101 LearnersLast updated on May 26th, 2025
Factors of -85
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 -85, how they are used in real life, and tips to learn them quickly.
What are the Factors of -85?
The numbers that divide -85 evenly are known as factors of -85.
A factor of -85 is a number that divides the number without remainder.
The positive factors of 85 are 1, 5, 17, and 85.
Negative factors of -85: -1, -5, -17, and -85.
Prime factors of 85: 5 and 17.
Prime factorization of 85: 5 × 17.
The sum of the positive factors of 85: 1 + 5 + 17 + 85 = 108
How to Find Factors of -85?
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 85. Identifying the numbers which are multiplied to get the number 85 is the multiplication method.
Step 1: Multiply 85 by 1, 85 × 1 = 85.
Step 2: Check for other numbers that give 85 after multiplying 5 × 17 = 85
Therefore, the positive factor pairs of 85 are: (1, 85) and (5, 17).
All these factor pairs result in 85.
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 85 by 1, 85 ÷ 1 = 85.
Step 2: Continue dividing 85 by the numbers until the remainder becomes 0.
85 ÷ 1 = 85
85 ÷ 5 = 17
85 ÷ 17 = 5
Therefore, the factors of 85 are: 1, 5, 17, 85.
Prime Factors and Prime Factorization
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
- Using factor tree
Using Prime Factorization: In this process, prime factors of 85 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
85 ÷ 5 = 17
17 ÷ 17 = 1
The prime factors of 85 are 5 and 17.
The prime factorization of 85 is: 5 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 85 is divided by 5 to get 17.
Step 2: Now divide 17 by 17 to get 1. Here, 17 is a prime number and cannot be divided anymore.
So, the prime factorization of 85 is: 5 × 17.
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 85: (1, 85) and (5, 17).
Negative factor pairs of -85: (-1, -85) and (-5, -17).
Common Mistakes and How to Avoid Them in Factors of -85
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 85, 1 and 85 are also factors.
Factors of -85 Examples
Problem 1
There are 85 apples, and 17 baskets. How will they be divided equally?
Each basket will get 5 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
85/17 = 5
Problem 2
A wall is 5 meters high and has a total area of 85 square meters. Find the width.
17 meters.
Explanation
To find the width of the wall, we use the formula, Area = height × width 85 = 5 × width
To find the value of width, we need to shift 5 to the left side.
85/5 = width
Width = 17
Problem 3
There are 85 books and 5 shelves. How many books will be in each shelf?
Each shelf will have 17 books.
Explanation
To find the books in each shelf, divide the total books by the number of shelves.
85/5 = 17
Problem 4
In a community, there are 85 houses and 1 community leader. How many houses does the leader represent?
The leader represents 85 houses.
Explanation
Since there is only 1 leader for 85 houses, 85/1 = 85
Problem 5
85 chairs need to be arranged in 5 rows. How many chairs will go in each row?
Each row will have 17 chairs.
Explanation
Divide total chairs by rows.
85/5 = 17
FAQs on Factors of -85
1.What are the factors of -85?
2.Mention the prime factors of -85.
3.Is 85 a multiple of 5?
4.Mention the factor pairs of -85?
5.What is the square of 85?
6.How can children in Qatar use numbers in everyday life to understand Factors of -85?
7.What are some fun ways kids in Qatar can practice Factors of -85 with numbers?
8.What role do numbers and Factors of -85 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of -85 skills?
Important Glossaries for Factor of -85
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -85 are 1, 5, 17, and 85.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -5, -17, and -85 for -85.
- Prime factors: The factors which are prime numbers. For example, 5 and 17 are prime factors of 85.
- 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 85 are (1, 85) and (5, 17).
- Prime factorization: Breaking down a number into the product of its prime numbers. For example, 85 is 5 × 17.
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About BrightChamps in Qatar
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.
