Last updated on May 26th, 2025
Factors are numbers that divide a 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 -81, how they are used in real life, and tips to learn them quickly.
The numbers that divide -81 evenly are known as factors of -81.
A factor of -81 is a number that divides the number without leaving a remainder.
The Positive factors of -81 are 1, 3, 9, 27, 81,
The negative factors of -81: -1, -3, -9, -27, -81.
Prime factors of -81: 3.
Prime factorization of -81: 34.
The sum of factors of 81 (ignoring the negative factors): 1 + 3 + 9 + 27 + 81 = 121.
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify pairs of numbers that multiply to give -81. Identifying the numbers which are multiplied to get -81 is the multiplication method.
Step 1: Multiply -81 by 1, -81 × 1 = -81.
Step 2: Check for other numbers that give -81when multiplied:
3 × -27 = -81
9 × -9 = -81
27 × -3 = -81
81 × -1 = -81
Therefore, the factor pairs of -81 are: (1, -81), (3, -27), (9, -9), (-1, 81), (-3, 27), (-9, 9).
For every positive factor, there is a negative factor.
Divide the given number by whole numbers until the remainder becomes zero, and list out the numbers which result in whole numbers as factors. Factors can be calculated using the division method:
Step 1: Divide -81 by -1, -81 ÷ -1 = 81.
Step 2: Continue dividing -81 by numbers until the remainder becomes 0.
-81 ÷ 1 = -81
-81 ÷ 3 = -27
-81 ÷ 9 = -9
-81 ÷ 27 = -3
-81 ÷ 81 = -1
Therefore, the factors of -81 are: 1, 3, 9, 27, 81, -1, -3, -9, -27, -81.
Factors can be found by dividing the number by prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of -81 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factorization of 81 is: 3^4. Thus, the prime factors of -81 are 3.
The factor tree is a graphical representation of breaking down a number into prime factors. The following steps show:
Step 1: Firstly, divide 81 by 3 to get 27.
Step 2: Now divide 27 by 3 to get 9.
Step 3: Then divide 9 by 3 to get 3.
Step 4: Divide 3 by 3 to get 1.
So, the prime factorization of -81 is: 3^4.
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 -81: (1, -81), (3, -27), (9, -9).
Negative factor pairs of -81: (-1, 81), (-3, 27), (-9, 9).
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In a school, there are -81 students and 3 groups. How many students are there in each group?
81 books need to be arranged on 9 shelves. How many books will go on each shelf?
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.