Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. These numbers are evenly divisible by 96. Factors when multiplied in pairs return the original number.
This article is all about Factors of 96, How to find the factor of 96, along with its prime factorization and factor tree.
Factor Definition
Factor can be described as a number that completely divides the original number without leaving any remainder. Any natural number or whole number can be the factor of other numbers.
For example, 6 is a factor of 24, i.e. 6 divides 24 exactly giving 4 as the quotient and leaving zero as the remainder.
Note: Every number has at least two factors i.e. 1 and the number itself.
Read More, Factors of a Number
What are Factors of 96?
Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
96 is a composite number which means there should be more than two factors of 96. Factors of 96 can be derived by dividing 96 by the smallest natural number 1, and continue this process by increasing the number by 1 each time, this process is carried on forward until we reach the number 96 (because the number itself is the last and greatest factor of that number.
Below is the table showing factors of 96 by division method:
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96 ÷ 1
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96
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0
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96 ÷ 2
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48
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0
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96 ÷ 3
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32
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0
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96 ÷ 4
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24
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0
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96 ÷ 6
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16
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0
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96 ÷ 8
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12
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0
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96 ÷ 12
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8
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0
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96 ÷ 16
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6
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0
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96 ÷ 24
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4
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0
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96 ÷ 32
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3
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0
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96 ÷ 48
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2
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0
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96 ÷ 96
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1
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0
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How to Find Factors of 96?
Factors of 96 can also be determined by the multiplication method. In this method, we find pairs of number which when multiplied together returns back 96. The table illustrating the factors of 96 by multiplication method is given below:
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1 × 96 = 96
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(1, 96)
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2 × 48 = 96
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(2, 48)
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3 × 32 = 96
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(3, 32)
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4 × 24 = 96
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(4, 24)
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6 × 16 = 96
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(6, 16)
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8 × 12 = 96
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(8, 12)
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Therefore 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 are the factor of 96.
Prime Factors of 96
Prime numbers are the number that are divisible by 1 and itself only. Prime factors of 96 are the prime numbers that completely divides 96 without leaving any remainder.
To check whether a prime number is a prime factor of 96 or not, we start dividing 96 by the smallest prime number until we reach the last prime number that is smaller than 96. And for the number 96, 2 and 3 are the only prime numbers that completely divide the number 96.
Read More, Prime Numbers
Prime Factorization of 96
Prime factorization is a method to find the factor of any number which are prime. Prime factorization is a way to represent all the number as the product of its prime numbers.
In prime factorization we break down a number into multiple prime number which on multiplying together give the original number as a result.
Prime Factorization of 96
Factor Pair of 96
Factor pairs are the pair of numbers which when multiplied together give the original number as answer. For e.g. (2, 2) is the factor pair of 4. Factor pair of 96 are (1, 96) (2, 48) (3, 32) (4, 24) (6, 16) (8, 12)
Factor pair can be positive and negative as well.
Positive Factor Pair of 96
A table illustrating all positive factor pair of 96 is given below:
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(1, 96)
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1 × 96 = 96
|
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(2, 48)
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2 × 48 = 96
|
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(3, 32)
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3 × 32 = 96
|
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(4, 24)
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4 × 24 = 96
|
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(6, 16)
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6 × 16 = 96
|
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(8, 12)
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8 × 12 = 96
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These numbers when multiplied together give a result equal to 96.
Negative Factor Pair of 96
The table containing negative factor pair of 96 is :
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(-1, -96)
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-1 × -96 = 96
|
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(-2, -48)
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-2 × -48 = 96
|
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(-3, -32)
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-3 × -32 = 96
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(-4, -24)
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-4 × -24 = 96
|
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(-6, -16)
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-6 × -16 = 96
|
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(-8, -12)
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-8 × -12 = 96
|
These numbers when multiplied together give a result equal to 96.
Factor Tree of 96
Factor tree is a diagram that is used to show the prime factors of a number in a tree like structure. It is just another way to showcase the factors of a number or prime factors of a number.
Factor Tree of 96
Read More,
Examples on Factors of 96
Example 1. What is the sum of the factors of 96?
Solution:
Factor of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96
Sum of Factors = 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 96 = 252
Sum of all factors of 96 are 252
Example 2. What are the common factor of 96 and 69?
Solution:
Factor of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factor of 69: 1, 3, 23, 69
Common factor of 96 and 69 are 1 and 3
Example 3. What is the average of all the factors of 96?
Solution:
Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Average = Sum of All Number/ Count of Numbers
Average = 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 96 / 12 = 252/12 = 21
Average of sum of all the factors of 96 is 21.
Example 4. What is the product of prime factors of 96?
Solution:
To find the factor of 96 we need to multiply all the prime factors of 96 together,
Product of prime factors of 96 = 25 × 3 = 96
Product of prime factors of 96 is 96 itself.
Example 5. Is 72 is a factor of 96?
Solution:
Factors are the numbers that divide the original number completely and leaves a remainder zero.
But when we divide 96 by 72 it leaves remainder 24.
So, 72 is not a factor of 96.
Practice Problem on Factors of 96
Problem 1: Find factors of 96 by division method.
Problem 2. Find factor of 96 by prime factorization method.
Problem 3. What is HCF of 96 and 16?
Problem 4. Is 46 is a factor of 96?
Problem 5. Which of the following is not a factor of 96?
- 24
- 36
- 48
- 8
Factor of 96 – Frequently Asked Questions
How many Positive Factor Pairs does 96 have?
96 has 6 factor pairs (1, 96) (2, 48) (3, 32) (4, 24) (6, 16) (8, 12).
What are the Composite Factors of 96?
4, 6, 8, 12, 16, 24, 32, 48, 96 are the composite factors of 96.
What are the First 10 Multiples of 96?
The first 10 multiples of 96 are 96, 192, 288, 384, 480, 576, 672, 768, 864 and 960.
How many Negative Factor Pairs does 96 Have?
96 has 6 negative pairs. (-1, -96), (-2, -48), (-3, -32), (-4, -24), (-6, -16), (-8, -12)
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