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 967, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 967 evenly are known as factors of 967.
A factor of 967 is a number that divides the number without remainder.
The factors of 967 are 1 and 967.
Negative factors of 967: -1 and -967.
Prime factors of 967: 967 (since 967 is a prime number).
Prime factorization of 967: 967 (since 967 is a prime number).
The sum of factors of 967: 1 + 967 = 968
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 967.
Since 967 is a prime number, the only multiplication pair is 1 × 967.
Therefore, the positive factor pairs of 967 are: (1, 967).
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 967 by 1, 967 ÷ 1 = 967.
Since 967 is a prime number, it is only divisible by 1 and itself, 967 ÷ 967 = 1.
Therefore, the factors of 967 are: 1 and 967.
The factors can be found by dividing it with a prime number.
Prime factorization involves expressing a number as the product of its prime factors.
Since 967 is a prime number, it cannot be factored further.
Using Prime Factorization: In this process, since 967 is a prime number, it cannot be broken down further, and its prime factorization is simply 967.
The factor tree is the graphical representation of breaking down any number into prime factors.
For 967, since it is a prime number, the factor tree simply consists of 967 itself.
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 967: (1, 967).
Negative factor pairs of 967: (-1, -967).
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 967 apples to be given to 1 person. How many apples will that person get?
They will get 967 apples.
To divide the apples equally, we need to divide the total apples with the number of people.
967/1 = 967
A single road is 967 meters long. How many meters is one complete road?
967 meters.
Since the road is already measured as 967 meters, its length is 967 meters.
A sculpture is made from a single block weighing 967 kg. How many kilograms does the block weigh?
967 kilograms.
The block weighs exactly as stated, 967 kilograms.
A room has a floor that is 967 square meters. What is the area of the floor?
967 square meters.
The area of the floor is simply the measurement given, 967 square meters.
967 books are to be placed in a single bookshelf. How many books will be on the shelf?
967 books.
All the books will be placed on the shelf as stated, totaling 967 books.
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.