#FutureSTEMLeaders - Wiingy's $2400 scholarship for School and College Students

Apply Now

Factors

Factors of 118 | Prime Factorization of 118 | Factor Tree of 118

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 118 | Prime Factorization of 118 | Factor Tree of 118

Factors of 118 | Prime Factorization of 118 | Factor Tree of 118

Factors of 118

Factors of 118Factor Pairs of 118Prime factors of 118
1, 2, 59, 118(1, 118), (2, 59)2 × 59
Factors of 118, Factor Pairs of 118, Prime factors of 118

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-118/

What are the factors of 118

The factors of a given number are the numbers that are capable of dividing the given number uniformly with no decimal points in the quotient. So, for example, the factors of 12 are 1, 2, 3, 4, 6, and 12, as all of these numbers, can evenly divide the given number 12. 

To find the factors of 118, we can start by dividing 118 by 2. If 118 is evenly divisible by 2, then 2 is a factor of 118. If 118 is not evenly divisible by 2, then we can try dividing it by 3, and so on.

Here’s how it would work:

  • 118 / 2 = 59 (evenly divisible)
  • 118 / 3 = 39.33333333333333(not evenly divisible)
  • 118 / 4 = 29.5 (not evenly divisible)
  • 118 / 5 = 23.6 (not evenly divisible)

We can keep going like this until we find a number that 118 is evenly divisible by. But if we keep going, we will eventually find that 118 is evenly divisible by 1, 2, 59, and 118.

So, The factors of 118 are 1, 2, 59, and 118.

How to Find Factors of 118

The 4 methods through which the factors of a number can be found are as follows and the same methods can be used to find the factors of 118. 

  • Factors of 118 using the Multiplication Method
  • Factors of 118 using the Division Method
  • Prime Factorization of 118
  • Factor tree of 118

Factors of 118 Using the Multiplication Method

To find the factors of 118 using the multiplication method, we can look for pairs of numbers that can be multiplied together to get the 118. For example, we know that 1 x 118 is equal to 118, so 1 and 118 are both factors of 118.

We can also look for other pairs of numbers that multiply to give us 118. For example, 2 x 59 is equal to 118, so 2 and 59 are both factors of 118.

So, in total, the factors of 118 are 1, 2, 59 and 118.

Factors of 118 Using the Division Method

To find the factors of 118 using the division method, we can start by trying to divide 118 by different numbers. If 118 is evenly divisible by a number, then that number is a factor of 118.

For example, if we divide 118 by 2, we get 59. This is a whole number, so 2 is a factor of 118. If we divide 118 by 3, we get 39.33333333333333. This is not a whole number, so 3 is not a factor of 118.

We can keep going like this until we find all the factors of 118. Some of the numbers that are factors of 118 are 1, 2,59 and 118. These are all the numbers that we can divide 118 by and get a whole number.

Prime Factorization of 118

Calculate Prime Factors of

The Prime Factors of 118 =

2 x

59

https://wiingy.com/learn/math/factors-of-118/

To find the prime factorization of a number, we try to express it as a product of its prime factors. A prime number is a number that is only divisible by 1 and itself. For example, the first few prime numbers are 2, 3, 5, 7, 11, and 13.

To find the prime factorization of 118, we can start by dividing 118 by the smallest prime number, which is 2. If 118 is evenly divisible by 2, then we can divide it by 2 again and again until we get a number that is not evenly divisible by 2.

For example, if we divide 118 by 2, we get 59. This is evenly divisible by 2, so we can divide it by 2 again to get 29.5. This is not evenly divisible by 2, so we stop here.

If 118 is not evenly divisible by 2, we move on to the next smallest prime number, which is 3. If we divide 118 by 3, we get 39.33333333333333. This is not a whole number, so 3 is not a factor of 118.

We can keep going like this until we find all the prime factors of 118. This means that the prime factors of 118 are 2 and 59, and 2 appears once in the prime factorization.

In this case, the prime factorization of 118 is 2 x 59.

Factor tree of 118

118259
https://wiingy.com/learn/math/factors-of-118/

A factor tree is a diagrammatic representation prime factorization of a number. It is called a tree because it has branches that represent the different prime factors of the number.

To create a factor tree for 118, we can start by finding two numbers whose product is 118. For example, we can find that 2 and 59 are both factors of 118 because 2 x 59 = 118.

Next, we can find two numbers whose product is 59. As 59 is a prime number It cannot be further divided into another prime factors.

Finally, we can create a tree-like diagram to represent the factors of 118. The top of the tree would be 118, and the two branches would be 2 and 59.

This diagram shows that 118 can be expressed as a product of its prime factors: 2 x 59.

Factor Pairs of 118

Calculate Pair Factors of

1 x 118=118

2 x 59=118

59 x 2=118

So Pair Factors of 118 are

(1,118)

(2,59)

(59,2)

https://wiingy.com/learn/math/factors-of-118/

The factor pairs of a number are all the pairs of numbers that, when multiplied together, give that number. For example, the factor pairs of 12 are (1, 12), (2, 6), and (3, 4), because the product of these pairs is 12.

To find the factor pairs of 118, we can list all the factors of 118, which are 1, 2,59, and 118. Then, we can find all the pairs of these numbers that multiply to give 118.

Therefore, the factor pairs of 118 are (1, 118), (2, 59).

More Factors

Factors of 118 – Quick Recap

  • Factors of 118:  1, 2, 59, 118.
  • Negative Factors of 118:  -1, -2, -59, -118.
  • Prime Factors of 118:2 × 29
  • Prime Factorization of 118:  2 × 59

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor of 118

Q.1: A toy store has 108 teddy bears. How many can each customer buy if there are 12 customers?
Solution: Each customer can buy 9 teddy bears.

Q.2: There are 116 lemonades in a pitcher, and 4 people want to divide them evenly. How many lemonades will each person get?
Solution: Each person will get 29 lemonades.

Q.3: John has 108 marbles in a jar and wants to evenly distribute them among 3 of his friends. How many marbles will each friend get? 
Solution: Each friend will get 36 marbles.

Q.4: Jimmy has 115 books and wants to give an equal number to 7 of his friends. How many books will each friend receive? 
Solution: Each friend would receive 15 books in this case.(115/7=15)

Q.5: Jessica wrote 118 questions for her quiz, and wants to divide them between 3 teams equally so that every team gets the same amount of questions for their quiz night challenge – how many questions does each team receive?  
Solution: Each team will receive 37 questions for the quiz night challenge. (118/3 = 37)

Q.6: There are 118 apples available at the farmer’s market and there are 5 customers wanting some apples – how many apples should each customer receive?  
Solution: If there are 118 apples available and 5 customers wanting apples, each customer should receive 118 divided by 5, which is approximately 23.6 apples. Since we cannot have a fraction of an apple, it would be more practical for each customer to receive 23 apples, with a remainder of 3 apples left over.

Q.7: Eleanor has 116 markers she wants to evenly distribute among 10 students how many markers will each student get? 
Solution: If Eleanor has 116 markers and wants to distribute them evenly among 10 students, each student would receive 116 divided by 10, which is equal to 11.6 markers. Since we cannot have a fraction of a marker, it would be more practical for each student to receive 11 markers, with a remainder of 6 markers left over.

Q.8: What are the least prime numbers needed to multiply together in order to get 1188?  
Solution: To find the least prime numbers needed to multiply together to get 1188, we can start by finding the prime factorization of 1188. Prime factorization of 1188: 1188 = 2^2 * 3^3 * 11. So, the least prime numbers needed to multiply together to get 1188 are 2, 3, and 11.

Q.9: How can I find the greatest common factor between 1190 and 1202?  
Solution: To find the greatest common factor between 1190 and 1202 you need to list out all factors of both numbers from 1 up until you find a number that they both have in common; this number would be your greatest common factor (GCF). In this case, it would be 2.

Frequently Asked Questions on Factors of 118

What are the factors of 118?

The factors of 118 are 1, 2, 59, and 118.

Is 118 a prime number?

No, 118 is not a prime number because it can be divided evenly by more than two numbers (1, 2, 59, and 118).

What is the greatest common factor between 1180 and 1206?

The greatest common factor between 1180 and 1206 is 2.

How can I find the lowest common multiple of 1180 and 1206?

Prime factorization of 1180: 2^2 * 5 * 59. Prime factorization of 1206: 2 * 3 * 7 * 29. Highest power of 2: 2^2 ,Highest power of 3: 3 , Highest power of 5: 5, Highest power of 7: 7 , Highest power of 29: 29.Multiply the highest powers of each prime factor. 2^2 * 3 * 5 * 7 * 29 = 12180.Therefore, the lowest common multiple (LCM) of 1180 and 1206 is 12180.

How many coins would each person get if there were an even split among six people of a collection of 114 coins?

Each person would get 19 coins in this case.

How many minutes does someone need to read if they have a total of 118 pages with an allotted one minute per page?

Someone needs to read 118 pages at one minute per page to complete their task. 

What is the least prime number needed to multiply together in order to get 1188?

Prime factorization of 1188: 2^2 * 3^4 * 11. The least prime number in the prime factorization of 1188 is 2. Therefore, the least prime number needed to multiply together to get 1188 is 2.

If there are 119 apples how many apples should each person get if they’re split among three people? 

119 apples / 3 people = 39 remainder 2
Each person would receive 39 apples, with 2 apples remaining

How many customers can buy books if there are 119 books for sale and four customers want to purchase them?

119 books / 4 customers = 29 remainder 3
Each customer would be able to buy 29 books, with 3 books remaining. So, if the books are divided equally, each customer would be able to buy 29 books. However, if you want to distribute the remaining 3 books, you can give each customer one additional book, resulting in 30 books for each customer and 1 book left over.

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic