151 LearnersLast updated on May 26th, 2025
Factors of 967
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.
What are the Factors of 967?
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
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How to Find Factors of 967?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 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.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 967, 1 and 967 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 967 consist of -1 and -967.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor would be incorrect, as 967/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking that all the factors of a number must be prime numbers.
For example, 967 is a prime number itself, which makes it unique.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not recognizing that 967 is a prime number and cannot be broken down further.
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Factors of 967 Examples
Problem 1
There are 967 apples to be given to 1 person. How many apples will that person get?
They will get 967 apples.
Explanation
To divide the apples equally, we need to divide the total apples with the number of people.
967/1 = 967
Problem 2
A single road is 967 meters long. How many meters is one complete road?
967 meters.
Explanation
Since the road is already measured as 967 meters, its length is 967 meters.
Problem 3
A sculpture is made from a single block weighing 967 kg. How many kilograms does the block weigh?
967 kilograms.
Explanation
The block weighs exactly as stated, 967 kilograms.
Problem 4
A room has a floor that is 967 square meters. What is the area of the floor?
967 square meters.
Explanation
The area of the floor is simply the measurement given, 967 square meters.
Problem 5
967 books are to be placed in a single bookshelf. How many books will be on the shelf?
967 books.
Explanation
All the books will be placed on the shelf as stated, totaling 967 books.
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FAQs on Factors of 967
1.What are the factors of 967?
2.Mention the prime factors of 967.
3.Is 967 a multiple of any number other than 1 and itself?
4.Mention the factor pairs of 967?
5.What is the square of 967?
6.How can children in Qatar use numbers in everyday life to understand Factors of 967?
7.What are some fun ways kids in Qatar can practice Factors of 967 with numbers?
8.What role do numbers and Factors of 967 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 967 skills?
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Important Glossaries for Factors of 967
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 967 are 1 and 967.
- Prime factors: The factors which are prime numbers. For example, 967 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 967 is (1, 967).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 967 is a prime number.
- Multiplication: The process of combining numbers to get a product. For instance, multiplying 1 and 967 gives the product 967.
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About BrightChamps in Qatar
Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
