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 -176, how they are used in real life, and tips to learn them quickly.
The numbers that divide -176 evenly are known as factors of -176.
A factor of -176 is a number that divides the number without remainder.
The factors of -176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, and 176.
Negative factors of -176: -1, -2, -4, -8, -11, -16, -22, -44, -88,
-176. Prime factors of -176: 2 and 11.
Prime factorization of -176: 24 × 11.
The sum of factors of 176 (ignoring the negative sign): 1 + 2 + 4 + 8 + 11 + 16 + 22 + 44 + 88 + 176 = 372
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 176. Identifying the numbers which are multiplied to get the number 176 is the multiplication method.
Step 1: Multiply 176 by 1, 176 × 1 = 176.
Step 2: Check for other numbers that give 176 after multiplying 2 × 88 = 176 4 × 44 = 176 8 × 22 = 176 11 × 16 = 176
Therefore, the positive factor pairs of 176 are: (1, 176), (2, 88), (4, 44), (8, 22), (11, 16).
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 as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 176 by 1, 176 ÷ 1 = 176.
Step 2: Continue dividing 176 by the numbers until the remainder becomes 0.
176 ÷ 1 = 176
176 ÷ 2 = 88
176 ÷ 4 = 44
176 ÷ 8 = 22
176 ÷ 11 = 16
Therefore, the factors of 176 are: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176.
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 176 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
176 ÷ 2 = 88
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1
The prime factors of 176 are 2 and 11.
The prime factorization of 176 is: 2^4 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 176 is divided by 2 to get 88.
Step 2: Now divide 88 by 2 to get 44.
Step 3: Then divide 44 by 2 to get 22.
Step 4: Divide 22 by 2 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 176 is: 24 × 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 176: (1, 176), (2, 88), (4, 44), (8, 22), and (11, 16).
Negative factor pairs of 176: (-1, -176), (-2, -88), (-4, -44), (-8, -22), and (-11, -16).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 176 apples and 8 baskets. How will you distribute them equally?
Each basket will have 22 apples.
To distribute the apples equally, we need to divide the total apples by the number of baskets.
176 ÷ 8 = 22
A room is rectangular, the width of the room is 16 meters and the total area is 176 square meters. Find the length?
11 meters.
To find the length of the room, we use the formula
Area = length × width
176 = 16 × length
To find the value of length, we need to shift 16 to the left side.
176 ÷ 16 = length
Length = 11.
There are 44 students and 176 pencils. How many pencils will each student get?
Each student will get 4 pencils.
To find the pencils each student gets, divide the total pencils by the number of students.
176 ÷ 44 = 4
In a club, there are 176 members, and 11 teams. How many members are there in each team?
There are 16 members in each team.
Dividing the members by the total teams, we will get the number of members in each team.
176 ÷ 11 = 16
176 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 88 books.
Divide total books by shelves.
176 ÷ 2 = 88
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.