Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of -91, how they are used in real life, and the tips to learn them quickly.
The numbers that divide -91 evenly are known as factors of -91.
A factor of -91 is a number that divides the number without remainder.
The factors of -91 are 1, -1, 7, -7, 13, -13, 91, and -91.
Prime factors of -91: 7 and 13.
Prime factorization of -91: -1 × 7 × 13.
The sum of factors of 91: 1 + 7 + 13 + 91 = 112
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give -91. Identifying the numbers which are multiplied to get the number -91 is the multiplication method.
Step 1: Multiply -91 by 1, -91 × 1 = -91.
Step 2: Check for other numbers that give -91 after multiplying 7 × -13 = -91 -7 × 13 = -91
Therefore, the positive factor pairs of -91 are: (1, -91), (7, -13), (-7, 13).
For every positive factor pair, there is a corresponding negative factor pair.
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in a whole number as factors. Factors can be calculated by following a simple division method
Step 1: Divide -91 by 1, -91 ÷ 1 = -91.
Step 2: Continue dividing -91 by the numbers until the remainder becomes 0.
-91 ÷ 1 = -91
-91 ÷ -1 = 91
-91 ÷ 7 = -13
-91 ÷ -7 = 13
-91 ÷ 13 = -7
-91 ÷ -13 = 7
Therefore, the factors of -91 are: 1, -1, 7, -7, 13, -13, 91, -91.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of -91 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since we are dealing with negative numbers, the factorization includes -1 as well. -91 ÷ 7 = -13 -13 ÷ 13 = -1
The prime factors of -91 are 7 and 13.
The prime factorization of -91 is: -1 × 7 × 13.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, -91 is divided by 7 to get -13.
Step 2: Now divide -13 by 13 to get -1. So, the prime factorization of -91 is: -1 × 7 × 13.
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 -91: (1, -91), (7, -13).
Negative factor pairs of -91: (-1, 91), (-7, 13).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A debt of 91 dollars is split evenly among 7 people. How much does each person owe?
Each person owes 13 dollars.
To divide the debt equally, we need to divide the total debt by the number of people.
91 ÷ 7 = 13
A bridge is supported by cables arranged in groups of 13. If there are 91 cables, how many groups are there?
7 groups.
To find the number of groups, divide the total number of cables by the number of cables per group.
91 ÷ 13 = 7
-91 apples need to be distributed among 13 baskets evenly. How many apples will be in each basket?
Each basket will have -7 apples.
To find the apples in each basket, divide the total apples by the baskets.
-91 ÷ 13 = -7
A team of 91 members is divided into 13 sub-teams. How many members are in each sub-team?
7 members.
Dividing the members by the total sub-teams, we will get the number of members in each sub-team.
91 ÷ 13 = 7
A negative score of -91 is distributed across 7 categories. How many points were lost per category?
-13 points were lost per category.
Divide the total negative score by the number of categories.
-91 ÷ 7 = -13
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.
: She loves to read number jokes and games.