588 LearnersLast updated on May 26th, 2025
Factors of 96
The numbers multiplied to get 96 as the product are the factors of 96. In real life, factors help in creating symmetrical and repetitive patterns, which are useful in architecture.
What are the factors of 96
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96 are the factors of 96.
Negative Factors: For each positive factor, there’s a negative factor as its counterpart.
Negative factors: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -96
Prime Factors:Prime factors are the prime numbers themselves
Prime factors: 2 and 3
Prime Factorization: Prime factorization expresses the product of prime factors in its exponential form.
It is expressed as 25 × 31
Table listing the factors of 96
|
Positive Factors |
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48,96 |
|
Negative Factors |
-1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, - 96 |
|
Prime Factors |
2, 3 |
|
Prime Factorization |
25 × 31 |
How to Find the Factors of 96
Factors of 96 can be found using different methods like:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
The multiplication method finds pairs of numbers that give 96 as the product.
Step 1: Find all the numbers whose product is 96.
Step 2: These numbers identify as factors of 96
Step 3: Group the numbers as pairs and make a list
A list of numbers whose product is 96:
1 × 96 = 96
2 × 48 = 96
3 × 32 = 96
4 × 24 = 96
6 × 16 = 96
8 × 12 = 96
So the pair of numbers will be (1,96), (2,48), (3,32), (4,24), (6,16), (8,12)
Finding Factors Using Division Method
For the division method, the process of division will go on until the remainder becomes zero.
Step 1:Number 1 will always be a factor because any number can be divided by 1. Example: 96÷1 = 96
Step 2: Move to the next integer and continue the process until you cannot divide 96 anymore
Overview of Factors of 96 using the division method
Prime Factors and Prime Factorization
Prime factors are the prime numbers, having 1 and the numbers themselves as factors.
Prime factorization is breaking down the number into its prime factors and expressing its product using exponents.
Prime Factors of 96: Number 96 has only two prime factors.
Prime factors of 96: 2, 3
To find the prime factors of 96, follow the given steps:
Step 1: Divide 96 by 2
96÷2 = 48
48÷2 = 24
24÷2 = 12
12÷2 = 6
6÷2 = 3
Step 2: Divide 3 by 3
3÷3 = 1
For the prime factorization method, the product of prime factors of 96 is expressed as 25 × 31
Factor Tree
The prime factorization is visually represented using the factor tree. In this factor tree, each branch splits into prime factors.
Factor Pairs
Factor pairs of 96 are a team of 2 factors each. Their product will be equal to the number, that is 96.
Positive Factor Pairs: (1,96), (2,48), (3,32), (4,24), (6,16), (8,12)
Negative Factor Pairs: (-1,-96), (-2,-48), (-3,-32), (-4,-24), (-6,-16), (-8,-12)
Common Mistakes and How to Avoid Them in Factors of 96
Mistakes can occur while the kids try to find the factors of 96. Here are some mistakes and the solutions to avoid them:
Mistake 1
Not using Factor Tree for higher numbers like 96
The factor tree visually represents the prime factorization. In the factor tree, each branch splits into prime factors.
factors of 96 Examples
Problem 1
Find the total number of factors of 96
There are 12 factors in total
Explanation
List the factors in ascending order and count them carefully. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96.
Problem 2
Identify the even factors of 96
The even factors of 96 are 2, 4, 6, 8, 12, 16, 24, 32, 48 and 96.
Explanation
From the factors of 96 filter out the even numbers. Numbers that are divisible by 2 are known as even numbers
Problem 3
What will be the sum of odd factors of 96
Sum is 4
Explanation
The odd factors are 1 and 3. Add these odd factors.
Problem 4
Is there any perfect cube among the factors?
Yes, 8 is the perfect cube factor
Explanation
Cube is a number we get multiplying the same number thrice.
Problem 5
The sum of perfect square factors?
The sum is 21
Explanation
1, 4 and 16 are the perfect squares among the factors. When 1,4,16 is added together, we get 21 as the sum.
FAQs on Factors of 96
1.How can be 96 prime factorized?
2.Is factors of 24 seen in factors of 96?
3.How many tens are present in 96?
4.Is it true that 96 is a perfect square?
5.Can 96 have 12 factors?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 96?
7.What are some fun ways kids in Bahrain can practice Factors of 96 with numbers?
8.What role do numbers and Factors of 96 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 96 skills?
Important glossery for factors of 96
- Factors: Factors are the numbers that divide the given number without any remainder.
- prime factorization: prime factorization of numbers involves breaking the number into its prime factors.
- Prime factors: Prime numbers that are divisible by 1 and the number itself
- Perfect Square: Product of the same number multiplied twice.
- Composite numbers : Composite numbers are numbers having more than two factors.
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About BrightChamps in Bahrain
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.
