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 -196, how they are used in real life, and tips to learn them quickly.
The numbers that divide -196 evenly are known as factors of -196.
A factor of -196 is a number that divides the number without remainder.
The factors of -196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196.
Negative factors of -196: -1, -2, -4, -7, -14, -28, -49, -98, and -196.
Prime factors of 196: 2 and 7. Prime factorization of 196: (22 times 72).
The sum of factors of 196: 1 + 2 + 4 + 7 + 14 + 28 + 49 + 98 + 196 = 399
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 196. Identifying the numbers which are multiplied to get the number 196 is the multiplication method.
Step 1: Multiply 196 by 1, 196 × 1 = 196.
Step 2: Check for other numbers that give 196 after multiplying 2 × 98 = 196 4 × 49 = 196 7 × 28 = 196
Therefore, the positive factor pairs of 196 are: (1, 196), (2, 98), (4, 49), (7, 28).
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 196 by 1, 196 ÷ 1 = 196.
Step 2: Continue dividing 196 by the numbers until the remainder becomes 0.
196 ÷ 1 = 196
196 ÷ 2 = 98
196 ÷ 4 = 49
196 ÷ 7 = 28
Therefore, the factors of 196 are: 1, 2, 4, 7, 14, 28, 49, 98, 196.
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 196 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
196 ÷ 2 = 98
98 ÷ 2 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 196 are 2 and 7.
The prime factorization of 196 is: (22 times 72).
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 196 is divided by 2 to get 98.
Step 2: Now divide 98 by 2 to get 49.
Step 3: Then divide 49 by 7 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 196 is: (22 times 72).
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 196: (1, 196), (2, 98), (4, 49), (7, 28).
Negative factor pairs of 196: (-1, -196), (-2, -98), (-4, -49), (-7, -28).
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 classroom project requires 196 sheets of paper, and there are 7 students. How many sheets does each student get if distributed equally?
Each student will get 28 sheets.
To divide the sheets equally, we need to divide the total sheets by the number of students.
196/7 = 28
A garden plot is rectangular, the width of the plot is 14 meters and the total area is 196 square meters. Find the length.
14 meters.
To find the length of the plot, we use the formula,
Area = length × width
196 = length × 14
To find the value of length, we need to shift 14 to the left side.
196/14 = length
Length = 14.
There are 4 containers and 196 liters of water. How many liters will be in each container?
Each container will have 49 liters.
To find the liters in each container, divide the total liters by the containers.
196/4 = 49
A pack contains 196 marbles, and there are 28 children. How many marbles does each child get if distributed equally?
Each child gets 7 marbles.
Dividing the marbles by the number of children, we will get the number of marbles each child gets.
196/28 = 7
196 apples need to be arranged in 49 baskets. How many apples will go in each basket?
Each basket will have 4 apples.
Divide total apples by the number of baskets.
196/49 = 4
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.