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 -147, how they are used in real life, and the tips to learn them quickly.
The numbers that divide -147 evenly are known as factors of -147.
A factor of -147 is a number that divides the number without remainder.
The factors of -147 are 1, 3, 7, 21, 49, and 147.
Negative factors of -147: -1, -3, -7, -21, -49, and -147.
Prime factors of -147: 3 and 7.
Prime factorization of -147: -1 × 3 × 7².
The sum of the factors of 147 (positive only): 1 + 3 + 7 + 21 + 49 + 147 = 228
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 -147. Identifying the numbers which are multiplied to get the number -147 is the multiplication method.
Step 1: Multiply -147 by -1, -147 × -1 = 147.
Step 2: Check for other numbers that give 147 after multiplying 3 × 49 = 147 7 × 21 = 147
Therefore, the positive factor pairs of 147 are: (1, 147), (3, 49), and (7, 21).
For every positive factor, there is a negative factor.
Dividing the given number with 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 147 by 1, 147 ÷ 1 = 147.
Step 2: Continue dividing 147 by the numbers until the remainder becomes 0.
147 ÷ 1 = 147
147 ÷ 3 = 49
147 ÷ 7 = 21
Therefore, the factors of 147 are: 1, 3, 7, 21, 49, 147.
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 147 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 147 are 3 and 7.
The prime factorization of -147 is: -1 × 3 × 7².
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 147 is divided by 3 to get 49.
Step 2: Now divide 49 by 7 to get 7.
Step 3: Divide 7 by 7 to get 1. So, the prime factorization of -147 is: -1 × 3 × 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 147: (1, 147), (3, 49), and (7, 21).
Negative factor pairs of -147: (-1, -147), (-3, -49), and (-7, -21).
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 14 teams and -147 points to distribute. How many points will each team get if distributed equally?
Each team will receive -10.5 points.
To divide the points equally, we need to divide the total points by the number of teams.
-147/14 = -10.5
A rectangular field has one side of 7 meters and the total area is 147 square meters. Find the length of the other side.
21 meters.
To find the length of the other side, we use the formula,
Area = length × width
147 = 7 × length
To find the value of the length, we need to shift 7 to the left side.
147/7 = length Length = 21.
There are 3 boxes and -147 marbles. How many marbles will be in each box if distributed equally?
Each box will have -49 marbles.
To find the marbles in each box, divide the total marbles by the number of boxes.
-147/3 = -49
A class has 147 students and there are 7 groups. How many students are in each group?
There are 21 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
147/7 = 21
147 books need to be arranged in 7 shelves. How many books will go on each shelf?
Each of the shelves has 21 books.
Divide total books by shelves.
147/7 = 21
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.