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Factors

Factors of 96 | Prime Factorization of 96 | Factor Tree of 96

Written by Prerit Jain

Updated on: 24 Aug 2023

Contents

1Factors of 12Factors of 23Factors of 34Factors of 45Factors of 56Factors of 67Factors of 78Factors of 89Factors of 910Factors of 1011Factors of 1112Factors of 1213Factors of 1314Factors of 1415Factors of 1516Factors of 1617Factors of 1718Factors of 1819Factors of 1920Factors of 2021Factors of 2122Factors of 2223Factors of 2324Factors of 2425Factors of 2526Factors of 2627Factors of 2728Factors of 2829Factors of 2930Factors of 3031Factors of 3132Factors of 3233Factors of 3334Factors of 3435Factors of 3536Factors of 3637Factors of 3738Factors of 3839Factors of 3940Factors of 4041Factors of 4142Factors of 4243Factors of 4344Factors of 4445Factors of 4546Factors of 4647Factors of 4748Factors of 4849Factors of 4950Factors of 5051Factors of 5152Factors of 5253Factors of 5354Factors of 5455Factors of 5556Factors of 5657Factors of 5758Factors of 5859Factors of 5960Factors of 6061Factors of 6162Factors of 6263Factors of 6364Factors of 6465Factors of 6566Factors of 6667Factors of 6768Factors of 6869Factors of 6970Factors of 7071Factors of 7172Factors of 7273Factors of 7474Factors of 7575Factors of 7676Factors of 7777Factors of 7878Factors of 7979Factors of 8080Factors of 8181Factors of 8282Factors of 8383Factors of 8484Factors of 8585Factors of 8686Factors of 8787Factors of 8888Factors of 8989Factors of 9090Factors of 9191Factors of 9292Factors of 9493Factors of 9694Factors of 9795Factors of 9896Factors of 9997Factors of 10098Factors of 10199Factors of 102100Factors of 103101Factors of 104102Factors of 105103Factors of 106104Factors of 107105Factors of 108106Factors of 109107Factors of 110108Factors of 111109Factors of 112110Factors of 113111Factors of 114112Factors of 115113Factors of 116114Factors of 117115Factors of 118116Factors of 119117Factors of 120118Factors of 122119Factors of 123120Factors of 124121Factors of 125122Factors of 126123Factors of 127124Factors of 128125Factors of 129126Factors of 130127Factors of 131128Factors of 132129Factors of 133130Factors of 134131Factors of 135132Factors of 136133Factors of 137134Factors of 138135Factors of 139136Factors of 140137Factors of 141138Factors of 142139Factors of 143140Factors of 144141Factors of 145142Factors of 146143Factors of 147144Factors of 148145Factors of 149146Factors of 150147Factors of 151148Factors of 152149Factors of 153150Factors of 154151Factors of 155152Factors of 156153Factors of 157154Factors of 158155Factors of 159156Factors of 160157Factors of 161158Factors of 162159Factors of 163160Factors of 167161Factors of 168162Factors of 169163Factors of 170164Factors of 172165Factors of 174166Factors of 176167Factors of 178168Factors of 180169Factors of 182170Factors of 184171Factors of 186172Factors of 188173Factors of 190174Factors of 192175Factors of 194176Factors of 196177Factors of 197178Factors of 200179Factors of 215180Factors of 216181Factors of 415
Factors of 96 | Prime Factorization of 96 | Factor Tree of 96

Factors of 96 | Prime Factorization of 96 | Factor Tree of 96

Factors of 96

Factors of 96Factor Pairs of 96Prime factors of 96
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.(1,96) (2,48)
(3,32) (4,24) (6,16) (8,12) (12,8) (16,6) (24,4) (32,3) (48,2)
2 × 2 × 2 × 2 × 2 × 3
Factors of 96, Factor Pairs of 96, Prime factors of 96

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-96/

What are the factors of 96

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. These are all of the integers that can be evenly divided by 96.

To find the factors of 96, we can divide 96 by each number between 1 and 96 to see if there is no remainder. If there is no remainder, then the number is a factor of 96.

For example, when we divide 96 by 1, there is no remainder, so 1 is a factor of 96. When we divide 96 by 2, there is no remainder, so 2 is a factor of 96. When we divide 96 by 3, there is a remainder of 0, so 3 is a factor of 96. And so on.

How to Find Factors of 96

The following are the methods through which you can find the factors of 96: 

  1. Factors of 96 using the Multiplication Method
  2. Factors of 96 using the Division Method
  3. Prime Factorization of 96
  4. Factor tree of 96

Factors of 96 Using the Multiplication Method

The multiplication method is a way to find the factors of a number by listing out the pairs of numbers that multiply to give us the target number.

For example, let’s find the factors of 97 using the multiplication method. We can start by listing out the pairs of numbers that multiply to give us 97:

1 x 97 = 97

We can see that the pair of numbers that multiplies to give us 97 is (1, 97). These are the factors of 97.

This method can be a helpful way to find the factors of a number, especially if the number is large and it would be time-consuming to divide it by all of the numbers between 1 and itself to find the factors.

Factors of 96 Using the Division Method

The division method is a way to find the factors of a number by dividing the number by each number between 1 and itself to see if there is no remainder. If there is no remainder, then the number is a factor of the target number.

For example, let’s find the factors of 96 using the division method. We can start by dividing 96 by 1:

96 ÷ 1 = 96 (There is no remainder, so 1 is a factor of 96)

Then we can divide 96 by 2:

96 ÷ 2 = 48 (There is no remainder, so 2 is a factor of 96)

Then we can divide 96 by 3:

96 ÷ 3 = 32 (There is no remainder, so 3 is a factor of 96)

We can keep going like this until we reach 96, and we will find that the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

This method can be a helpful way to find the factors of a number, especially if the number is small and it would be quick to divide it by all of the numbers between 1 and itself.

Prime Factorization of 96

Calculate Prime Factors of

The Prime Factors of 96 =

2 x

2 x

2 x

2 x

2 x

3

https://wiingy.com/learn/math/factors-of-96/

In prime factorization, we try to break a number down into its prime factors, which are numbers that can only be divided by 1 and themselves. For example, the prime factors of 6 are 2 and 3, because 2 x 3 = 6, and 2 and 3 can only be divided by 1 and themselves.

To find the prime factorization of 96, we can start by dividing 96 by the smallest prime number, which is 2. When we divide 96 by 2, we get 48, which is a whole number. This means that 2 is a factor of 96.

Continue dividing the quotient by 2 until it is no longer divisible evenly. The next quotient is 24, then 12, 6 and finally 3.

So, the prime factorization of 96 is 3 x 2^5. In other words, 96 can be expressed as the product of the prime factors 3 and 2^5.

Factor tree of 96

962482242122623
https://wiingy.com/learn/math/factors-of-96/
  1. Start with 96 at the top of the tree.
  2. Divide 96 by the smallest prime factor, which is 2. The result is 48.
  3. Write 2 and 48 as the two branches of the tree.
  4. Continue dividing 48 by 2. The result is 24.
  5. Write 2 and 24 as the next branches of the tree.
  6. Divide 24 by 2 again. The result is 12.
  7. Write 2 and 12 as the next branches of the tree.
  8. Divide 12 by 2 once more. The result is 6.
  9. Write 2 and 6 as the next branches of the tree.
  10. Since 6 is divisible by 2, divide it again. The result is 3.
  11. Write 2 and 3 as the final branches of the tree.
  12. Since 3 is a prime number, write it at the end of the branches.

Here is what the factor tree for 96 looks like:

96

|

3

|

32

The prime factorization of 96 is the product of the numbers at the bottom of the factor tree. In this case, the prime factorization of 96 is 3 x 32.

Factor Pairs of 96

Calculate Pair Factors of

1 x 96=96

2 x 48=96

3 x 32=96

4 x 24=96

6 x 16=96

8 x 12=96

12 x 8=96

16 x 6=96

24 x 4=96

32 x 3=96

48 x 2=96

So Pair Factors of 96 are

(1,96)

(2,48)

(3,32)

(4,24)

(6,16)

(8,12)

(12,8)

(16,6)

(24,4)

(32,3)

(48,2)

https://wiingy.com/learn/math/factors-of-96/

Factor pairs are pairs of numbers that, when multiplied together, give us the target number. To find the factor pairs of a number, we can divide the number by each number between 1 and itself to see if there is no remainder. If there is no remainder, then the number and the result of the division are a pair of factors.

For example, let’s find the factor pairs of 96. We can start by dividing 96 by 1:

96 ÷ 1 = 96 (There is no remainder, so 1 and 96 are a pair of factors)

Then we can divide 96 by 2:

96 ÷ 2 = 48 (There is no remainder, so 2 and 48 are a pair of factors)

Then we can divide 96 by 3:

96 ÷ 3 = 32 (There is no remainder, so 3 and 32 are a pair of factors)

We can keep going like this until we reach 96, and we will find that the factor pairs of 96 are (1, 96), (2, 48), (3, 32), (4, 24), (6, 16), and (8, 12).

More Factors

Factors of 96 – Quick Recap

  • Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
  • Negative Factors of 96: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -96.
  • Prime Factors of 96: 2 × 2 × 2 × 2 × 2 × 3
  • Prime Factorization of 96: 2 × 2 × 2 × 2 × 2 × 3

Factors of 96 – Fun Facts

  • 96 is an even number, so it has an even number of factors. In this case, 96 has 12 factors.
  • 96 is not a prime number, because it has more than 2 factors. Prime numbers are only divisible by 1 and themselves.
  • 96 is a composite number because it has more than 2 factors. Composite numbers are numbers that are not prime and are made up of the product of two or more prime numbers. In the case of 96, the prime factorization is 2^5 x 3.
  • The factors of 96 are all integers. This means that they are all whole numbers, and they are not fractions or decimals.
  • The factors of 96 include both positive and negative integers. This means that 96 can be evenly divided by both positive and negative numbers.

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor of 96

Q.1: Tom has 96 marbles and wants to divide them into 7 equal piles. How many marbles will be in each pile?
Solution:
Divide the total number of marbles (96) by the number of piles (7): 96 ÷ 7 = 13 remainders 5. Therefore, each pile will have 13 marbles, and there will be an additional 5 marbles remaining.

Q.2:Sally was given 96 balloons for her birthday party, but can only hang 19 balloons in the room at once, how many times will she need to fill the room with balloons?
Solution: Divide 96 by 19: 96 ÷ 19 = 5 remainders 1. Therefore, Sally will need to fill the room with balloons 5 times, and there will be 1 balloon remaining that cannot fill the room.

Q.3 Bill has an aquarium of size 96 litres and wants to add eight fish that take up 11 litres each, can he fit all the fish in the aquarium?
Solution: Yes, 8 fish will take up 88 litres of space which is less than the size of the aquarium.

Q.4: Jack is baking 96 cookies and wants to divide them equally into 5 plates. How many cookies will be on each plate?
Solution:
96 cookies ÷ 5 plates = 19 cookies per plate (with a remainder of 1 cookie). Therefore, each plate will have 19 cookies, and there will be 1 cookie left over.

Q.5: Mary had 96 coins and gave 4 coins to her cousin. How many coins does she have left?
Solution:
92 coins left. 

Frequently Asked Questions on Factors of 96

Juan is trying to find the greatest common factor of 96 and 216. What is it?

The greatest common factor of 96 and 216 is 24 because both numbers are divisible by 24.

What number when multiplied by 6 will yield 96?

16 is the number that when multiplied by 6 will yield 96 (6 x 16 = 96).

Richard needs to find the least common multiple for 24, 32, and 48. What is it?

Let’s first find the prime factorization of each number: 24 = 2^3 * 3^1, 32 = 2^5, 48 = 2^4 * 3^1.
Now, we need to take the highest exponent for each prime factor from the three numbers: The highest exponent of 2 is 5. The highest exponent of 3 is 1.
To calculate the LCM, we multiply the prime factors raised to their highest exponents: LCM = 2^5 * 3^1 = 32 * 3 = 96
Therefore, the LCM of 24, 32, and 48 is 96.

Jack needs to divide a number by 2 in order to get a product of 96. Which number should he use?

Jack should use 192 as his dividend since dividing it by 2 yields an answer of 96 (192 ÷ 2 = 96).

Diane needs to solve for X if 6x =96. What does X equal?

X equals 16 since solving for X yields 16 when 6x =96 (6x=96; x=16).

Harold needs to find out how many factors 96 has. How many factors does it have?

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

Mike wants to find the prime factorization of 94. Can you tell him the prime factorization of 94

the prime factorization of 96 is 2^5 * 3.

Roy wants to determine if 15 and 19 are part of the list of factors for 94.

Let’s start with 15: 94 ÷ 15 = 6, remainder 4, Since 15 does not divide 94 evenly, it is not a factor of 94.
Now, let’s check 19: 94 ÷ 19 = 4 remainder 18 Similarly, 19 does not divide 94 evenly, so it is also not a factor of 94.
Therefore, neither 15 nor 19 are factors of 94.

Written by

Prerit Jain

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