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 items equally, arranging things, etc. In this topic, we will learn about the factors of -44, how they are used in real life, and tips to learn them quickly.
The numbers that divide -44 evenly are known as factors of -44.
A factor of -44 is a number that divides the number without remainder.
The factors of -44 are 1, 2, 4, 11, 22, and 44.
Negative factors of -44: -1, -2, -4, -11, -22, and -44.
Prime factors of -44: 2 and 11.
Prime factorization of -44: 2 × 2 × 11.
The sum of factors of -44: 1 + 2 + 4 + 11 + 22 + 44 = 84
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 -44. Identifying the numbers which are multiplied to get the number -44 is the multiplication method.
Step 1: Multiply -44 by 1, -44 × 1 = -44.
Step 2: Check for other numbers that give -44 after multiplying -1 × 44 = -44
-2 × 22 = -44
-4 × 11 = -44
Therefore, the positive factor pairs of -44 are: (1, 44), (2, 22), (4, 11). All these factor pairs result in -44.
For every positive factor, there is a negative factor.
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide -44 by 1, -44 ÷ 1 = -44.
Step 2: Continue dividing -44 by the numbers until the remainder becomes 0.
-44 ÷ 1 = -44
-44 ÷ 2 = -22
-44 ÷ 4 = -11
Therefore, the factors of -44 are: 1, 2, 4, 11, 22, 44.
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, the prime factors of -44 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
-44 ÷ 2 = -22
-22 ÷ 2 = -11
-11 ÷ 11 = -1
The prime factors of -44 are 2 and 11.
The prime factorization of -44 is: 2 × 2 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, -44 is divided by 2 to get -22.
Step 2: Now divide -22 by 2 to get -11. Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of -44 is: 2 × 2 × 11.
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 -44: (1, 44), (2, 22), (4, 11).
Negative factor pairs of -44: (-1, -44), (-2, -22), (-4, -11).
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 teacher has -44 points and wants to split them equally among 11 students. How many points will each student get?
Each student will get -4 points.
To divide the points equally, we need to divide the total points by the number of students.
-44/11 = -4
A cable of length -44 meters is cut into equal pieces of 2 meters each. How many pieces are obtained?
22 pieces.
To find the number of pieces, divide the total length by the length of each piece.
-44/2 = 22
A container holds -44 liters of liquid, distributed equally in 4 smaller containers. How much liquid does each smaller container hold?
Each container holds -11 liters.
To find the liquid in each container, divide the total liquid by the number of containers.
-44/4 = -11
An object weighing -44 kg is being split into equal parts of 22 kg each. How many parts can be made?
2 parts.
To find the number of parts, divide the total weight by the weight of each part.
-44/22 = 2
A rope of -44 meters is divided into sections of 1 meter each. How many sections are there?
44 sections.
Divide the total length by the length of each section.
-44/1 = 44
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.