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

Apply Now

Factors

Factors of 111 | Prime Factorization of 111 | Factor Tree of 111

Written by Prerit Jain

Updated on: 18 Jun 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 111 | Prime Factorization of 111 | Factor Tree of 111

Factors of 111 | Prime Factorization of 111 | Factor Tree of 111

Factors of 111

Factors of 111Factor Pairs of 111Prime factors of 111
1, 3, 37, 111(1,111)
(3,37)
(37,3)
3, 37
Factors of 111, Factor Pairs of 111, Prime factors of 111

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-111/

What are the factors of 111?

The factors of 111 are 1, 3, 37, and 111. So, 111 is not a prime number, as it has more factors other than 1 and itself.

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. Prime numbers are an important concept in mathematics because they play a key role in the study of number theory and are used in various cryptographic algorithms.

How to Find Factors of 111?

You can find the factors of 111 using the following methods: 

  1. Factors of 111 using the Multiplication Method
  2. Factors of 111 using the Division Method
  3. Prime Factorization of 111
  4. Factor tree of 111

Factors of 111 Using the Multiplication Method

The factors of 111 can be found using the multiplication method as follows:

  1. First, write down the number 111 and its factors, that is 1, 3, 37, and 111.
  2. Next, divide 111 by each of its factors (1, 3, 37, and 111) to see if there is a remainder. If there is no remainder, then the factor is a valid factor of 111.

Using this method, you can see that 111 is only divisible by 1, 3, 37, and itself, so the factors of 111 are 1, 3, 37, and 111.

Here is the complete calculation:

111 / 1 = 111 (no remainder)

111 / 3 = 37 (no remainder)

111 / 37 = 3 (no remainder)

111 / 111 = 1 (no remainder)

Therefore, the factors of 111 are 1, 3, 37, and 111.

Factors of 111 Using the Division Method

The factors of 111 can be found using the division method as follows:

  1. Write down the number whose factors you want to find. In this case, 111.
  2. Write down the number 1, as it is a factor of every number.
  3. Starting with 1, divide 111 by each number and go up in increments of 1 (2, 3, 4, etc.) until you reach a number that is greater than the number for which you are trying to find the factor.
  4. Divide 111 by each number and check the remainder. If there is no remainder, then the number is a factor of 111.
  5. Repeat this process until you have checked all the numbers up to the number, for which you are trying to find the factor.

Using this method, you can see that the only numbers that are divided by 111 without a remainder are 1, 3, 37, and 111. So, 1, 3, 37, and 111 are the factors of 111.

Prime Factorization of 111

Calculate Prime Factors of

The Prime Factors of 111 =

3 x

37

https://wiingy.com/learn/math/factors-of-111/

The prime factorization of 111 is a list of all the prime numbers that can be multiplied together to get the number 111.

The factors of 111 can be found using the prime factorization method as follows:

  1. Write down the number 111 and, starting from 2, check which number is completely dividing 111.
  2. The number 111 can’t be completely divided by 2. So, divide 111 by 3.
  3. On dividing 111 by 3, you will get the remainder as 37.
  4. Since 37 is a prime number, it can’t be divided by any other number, but 37 itself.
  5. On dividing 37 by 37, you will get the remainder as 1.
  6. Now, 1 can’t be divided anymore.

Since 1 can’t be divided any further, the prime factors of 111 that you get after prime factorization are 3 and 37.

Factor tree of 111

111337
https://wiingy.com/learn/math/factors-of-111/

A factor tree is a visual representation of the prime factorization of a number. It shows the steps taken to find the prime factors of a number by dividing the number by smaller prime numbers.

Here is the factor tree for 111:

111 | 3 | 37 | 1

To create the factor tree for 111, we can follow these steps:

  1. Write down the number 111 and, starting from 2, check which number is completely dividing 111.
  2. The number 111 can’t be completely divided by 2. So, divide 111 by 3.
  3. On dividing 111 by 3, you will get the remainder as 37.
  4. Since 37 is a prime number, it can’t be divided by any other number, but 37 itself.
  5. On dividing 37 by 37, you will get the remainder as 1.
  6. Now, 1 can’t be divided anymore.

The factor tree shows that the prime factorization of 111 is 3 x 37, which is equal to 111.

I hope now you know how to find the factors of 111 using different methods. If you still have any queries, you can ask them in it comments.

Factor Pairs of 111

Calculate Pair Factors of

1 x 111=111

3 x 37=111

37 x 3=111

So Pair Factors of 111 are

(1,111)

(3,37)

(37,3)

https://wiingy.com/learn/math/factors-of-111/

The factor pairs of a number are all the pairs of numbers that can be multiplied together to get the original number.

To find the factor pairs of 111, we can use the following steps:

  1. Write down the number 111 and its factors, that is 1, 3, 37, and 111.
  2. Divide 111 by each of its factors (1, 3, 37, and 111) to see if there is a remainder. If there is no remainder, then the factor is a valid factor of 111.
  3. Write down all the valid factor pairs in a list.

Using this method, you can see that the only factors of 111 are 1, 3, 37, and 111. So the factor pairs of 111 are (1, 111) and (3, 37).

More Factors

  • Factors of 108
  • Factors of 109
  • Factors of 110
  • Factors of 111
  • Factors of 112
  • Factors of 113
  • Factors of 114

Factors of 111 – Quick Recap

  • Factors of 111: 1, 3, 37, 111
  • Negative Factors of 111:  -1, -3, -37, -111.
  • Prime Factors of 111: 3, 37

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor of 111

Q.1: Sally had a bag of candy that contained 111 pieces, and she divided them among 3 friends. How many pieces did each friend get?
Solution: To find out the number of pieces that each friend gets, divide 111 by 3, which gives the answer as 37. (111/3 = 37). So, each friend gets 37 pieces out of 111 pieces.

Q.2: Jermaine wants to display his collection of books on his shelf, but his shelf can only hold 111 books. If he has 444 books, how many shelves will he need? 
Solution: To find out the number of shelves he will need to display his collection of books on the shelf which can only hold 111 books, and divide the total number of books he has by the number of books the shelf can hold. The total number of books = 444. On dividing 444 by 111, you will get 4. So, Jermaine will need 4 more shelves to display his collection of books.

Q.3: Jane bought 178 items from the store and needed to purchase packing boxes that could hold 11 items each. How many boxes did Jane need? 
Solution: To find out the number of boxes Jane will need to hold a total of 178 items when one box can only hold 11 items, divide the total number of items he has by the total number of items that one box can hold. The total number of items is 178. The number of items that one box can hold = 11. On dividing 178 by 111, you will get 16. So, Jane will need 16 boxes to hold 178 items.

Q.4: Adam wanted to buy some rope for an art project. Each piece he purchased was 2 m in length and he wanted 12 m in total. How many pieces did Adam buy?   
Solution: To find out the number of pieces of rope Adam bought when each piece was 2 m in length and he wanted 12 m, divide the total length he wanted by the length of one piece of rope. The total length of rope Adam wanted was 12 m. Length of one piece of rope = 2 m. On dividing 12 by 2, you will get 6. So, Adam bought 6 pieces of rope.

Q.5: Ferdinand needed some paint for an art project. Each can cost $15, but Ferdinand only had $165 to spend in total. How many cans of paint could Ferdinand buy?
Solution: To find out the number of cans of paint Ferdinand could buy when one can of paint cost $15 and Ferdinand only had $165, divide the total amount Ferdinand had by the amount of one can of paint. The total amount Ferdinand had = $165. The amount of one can of paint = $15. On dividing 165 by 15, you will get 11. So, Ferdinand will need to buy 11 cans of paint.

Frequently Asked Questions on Factors of 111

How many factors does 111 have?

111 has a total of 4 factors, that is, 1, 3, 37, and 111.

Is 111 a prime number?

No, 111 is not a prime number as it has more than two factors (1, 3, 37, and 111).

Is there an even factor of 111?

No, 111 has no even factors. 111 has 4 factors and all of them are odd numbers.

Is 62 a factor of 111?

When we divide 111 by 62, it leaves a remainder. So, 62 is not a factor of 111.

What are the prime factors of 111?

111 has two prime factors, 3 and 37.

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic