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 973, how they are used in real life, and tips to learn them quickly.
The numbers that divide 973 evenly are known as factors of 973.
A factor of 973 is a number that divides the number without remainder.
The factors of 973 are 1, 7, 139, and 973.
Negative factors of 973: -1, -7, -139, and -973.
Prime factors of 973: 7 and 139.
Prime factorization of 973: 7 × 139.
The sum of factors of 973: 1 + 7 + 139 + 973 = 1120
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 973. Identifying the numbers which are multiplied to get the number 973 is the multiplication method.
Step 1: Multiply 973 by 1, 973 × 1 = 973.
Step 2: Check for other numbers that give 973 after multiplying.
7 × 139 = 973
Therefore, the positive factor pairs of 973 are: (1, 973) and (7, 139).
All these factor pairs result in 973.
For every positive factor, there is a negative factor.
Dividing the given numbers 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 973 by 1, 973 ÷ 1 = 973.
Step 2: Continue dividing 973 by the numbers until the remainder becomes 0.
973 ÷ 1 = 973
973 ÷ 7 = 139
973 ÷ 139 = 7
Therefore, the factors of 973 are: 1, 7, 139, 973.
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 973 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
973 ÷ 7 = 139
139 ÷ 139 = 1
The prime factors of 973 are 7 and 139.
The prime factorization of 973 is: 7 × 139.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 973 is divided by 7 to get 139.
Step 2: Now divide 139 by 139 to get 1. So, the prime factorization of 973 is: 7 × 139.
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 973: (1, 973) and (7, 139).
Negative factor pairs of 973: (-1, -973) and (-7, -139).
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 farmer has 973 apples and wants to distribute them equally into baskets. If each basket can hold 7 apples, how many baskets are needed?
139 baskets are needed.
To find how many baskets are needed, divide the total apples by the capacity of each basket.
973/7 = 139
A rectangular garden has a length of 139 meters, and its total area is 973 square meters. What is the width?
7 meters.
To find the width of the garden, use the formula:
Area = length × width
973 = 139 × width
To find the value of width, shift 139 to the left side.
973/139 = width
Width = 7.
A library has 973 books, and there are 7 shelves. How many books will be on each shelf?
Each shelf will have 139 books.
To find the number of books on each shelf, divide the total books by the number of shelves.
973/7 = 139
In a competition, there are 973 participants, and they need to form teams of 139 members each. How many teams can be formed?
7 teams can be formed.
Dividing the participants by the number of members in each team will give the number of teams.
973/139 = 7
A conveyor belt transports 973 items, and each batch contains 973 items. How many batches are there?
1 batch.
Divide the total items by the items in each batch.
973/973 = 1
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.