Factors

# Factors of 116 | Prime Factorization of 116 | Factor Tree of 116

Written by Prerit Jain

Updated on: 18 Jun 2023

Contents

### Factors of 116 | Prime Factorization of 116 | Factor Tree of 116

## Factors of 116

Factors of 116 | Factor Pairs of 116 | Prime factors of 116 |

1, 2, 4, 29, 58, 116 | (1, 116), (2, 58), (4, 29) | 2 × 29 |

**Factors of 116**,

**Factor Pairs of 116**,

**Prime factors of 116**

Calculate Factors of

**The Factors are**

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## What are the factors of 116

A factor of a number is a number that can be divided evenly into that number. So, for example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because all of those numbers can be evenly divided into 12.

To find the factors of 116, we can start by dividing 116 by 2. If 116 is evenly divisible by 2, then 2 is a factor of 116. If 116 is not evenly divisible by 2, then we can try dividing it by 3, and so on.

Here’s how it would work:

- 116 / 2 = 58 (evenly divisible)
- 116 / 3 = 38.66666666666667 (not evenly divisible)
- 116 / 4 = 29 (evenly divisible)
- 116 / 5 = 23.2 (not evenly divisible)

We can keep going like this until we find a number that 116 is evenly divisible by. But if we keep going, we will eventually find that 116 is evenly divisible by 1, 2, 4, 8, 29, and 116. So, the factors of 116 are 1, 2, 4, 8, 29, and 116.

## How to Find Factors of 116

Here are the four methods through which you can find the factors of 116:

- Factors of 116 using the Multiplication Method
- Factors of 116 using the Division Method
- Prime Factorization of 116
- Factor tree of 116

## Factors of 116 Using the Multiplication Method

To find the factors of 116 using the multiplication method, we can look for pairs of numbers that can be multiplied together to give us 116. For example, we know that 1 x 116 is equal to 116, so 1 and 116 are both factors of 116.

We can also look for other pairs of numbers that multiply to give us 116. For example, 2 x 58 is equal to 116, so 2 and 58 are both factors of 116. Similarly, 4 x 29 is equal to 116, so 4 and 29 are both factors of 116.

So, in total, the factors of 116 are 1, 2, 4, 8, 29, and 116.

## Factors of 116 Using the Division Method

To find the factors of 116 using the division method, we can start by dividing 116 by 2. If 116 is evenly divisible by 2, then 2 is a factor of 116. If 116 is not evenly divisible by 2, then we can try dividing it by 3, and so on.

Here’s how it would work:

- 116 / 2 = 58 (evenly divisible)
- 116 / 3 = 38.66666666666667 (not evenly divisible)
- 116 / 4 = 29 (evenly divisible)
- 116 / 5 = 23.2 (not evenly divisible)

We can keep going like this until we find a number that 116 is evenly divisible by. But if we keep going, we will eventually find that 116 is evenly divisible by 1, 2, 4, 8, 29, and 116. So, the factors of 116 are 1, 2, 4, 8, 29, and 116.

## Prime Factorization of 116

Calculate Prime Factors of

The Prime Factors of 116 =

2 x

2 x

29

In prime factorization, we try to express a number 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 116, we can start by dividing 116 by the smallest prime number, which is 2. If 116 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 116 by 2, we get 58. This is evenly divisible by 2, so we can divide it by 2 again to get 29. This is also evenly divisible by 2, so we can divide it by 2 again to get 14.5. This is not evenly divisible by 2, so we stop here.

Since 116 is not evenly divisible by 2, we move on to the next smallest prime number, which is 3. If we divide 116 by 3, we get 38.66666666666667. This is not a whole number, so 3 is not a factor of 116.

We can keep going like this until we find all the prime factors of 116. In this case, the prime factorization of 116 is 2^2 x 29. This means that the prime factors of 116 are 2 and 29, and 2 appears twice in the prime factorization.

## Factor tree of 116

To create a factor tree for 116, we can start by finding two factors of 116 whose product is 116. For example, we can find that 2 and 58 are both factors of 116 because 2 x 58 = 116.

Next, we can find two factors of 58 whose product is 58. For example, we can find that 2 and 29 are both factors of 58 because 2 x 29 = 58.

Finally, we can create a tree-like diagram to represent the factors of 116. It would look like this:

## Factor Pairs of 116

Calculate Pair Factors of

1 x 116=116

2 x 58=116

4 x 29=116

29 x 4=116

58 x 2=116

So Pair Factors of 116 are

(1,116)

(2,58)

(4,29)

(29,4)

(58,2)

The factor pairs of 116 are all pairs of numbers that can be multiplied together to equal 116. For example, the factors pairs of 116 are (1, 116), (2, 58), (4, 29), and (8, 14.5).

We can find all the factor pairs of 116 by dividing 116 by every number between 1 and 116. If 116 is evenly divisible by a number, then that number and 116 divided by that number are both factors of 116.

For example, if we divide 116 by 2, we get 58. This is a whole number, so 2 is a factor of 116, and 58 is a factor of 116. If we divide 116 by 3, we get 38.66666666666667. The factor pairs of 116 are all pairs of numbers that can be multiplied together to equal 116. For example, the factors pairs of 116 are (1, 116), (2, 58), (4, 29), and (8, 14.5).

We can find all the factor pairs of 116 by dividing 116 by every number between 1 and 116. If 116 is evenly divisible by a number, then that number and 116 divided by that number are both factors of 116.

For example, if we divide 116 by 2, we get 58. This is a whole number, so 2 is a factor of 116, and 58 is a factor of 116. If we divide 116 by 3, we get 38.66666666666667. The factor pairs of 116 are all pairs of numbers that can be multiplied together to equal 116. For example, the factors pairs of 116 are (1, 116), (2, 58), (4, 29), and (8, 14.5).

We can find all the factor pairs of 116 by dividing 116 by every number between 1 and 116. If 116 is evenly divisible by a number, then that number and 116 divided by that number are both factors of 116.

For example, if we divide 116 by 2, we get 58. This is a whole number, so 2 is a factor of 116, and 58 is a factor of 116. If we divide 116 by 3, we get 38.66666666666667. This is not a whole number, so 3 is not a factor of 116.

We can keep going like this until we find all the factor pairs of 116. In total, there are 4-factor pairs of 116: (1, 116), (2, 58), (4, 29), and (8, 14.5).

The factor pairs of 116 are all pairs of numbers that can be multiplied together to equal 116. For example, the factors pairs of 116 are (1, 116), (2, 58), (4, 29), and (8, 14.5).

For example, if we divide 116 by 2, we get 58. This is a whole number, so 2 is a factor of 116, and 58 is a factor of 116. If we divide 116 by 3, we get 38.66666666666667. This is not a whole number, so 3 is not a factor of 116.

We can keep going like this until we find all the factor pairs of 116. In total, there are 4-factor pairs of 116: (1, 116), (2, 58), (4, 29), and (8, 14.5).

This is not a whole number, so 3 is not a factor of 116.

We can keep going like this until we find all the factor pairs of 116. In total, there are 4-factor pairs of 116: (1, 116), (2, 58), (4, 29), and (8, 14.5). This is not a whole number, so 3 is not a factor of 116.

We can keep going like this until we find all the factor pairs of 116. In total, there are 4-factor pairs of 116: (1, 116), (2, 58), (4, 29), and (8, 14.5).

## More Factors

## Factors of 116 – Quick Recap

**Factors of 116:**1, 2, 4, 29, 58, 116.**Negative Factors of 116:**-1, -2, -4, -29, -58, and -116.**Prime Factors of 116:**2 × 29**Prime Factorization of 116:**

**Also Check**: Multiples, Square Root, and LCM

## Solved Examples of Factor of 116

**Q.1: If there are 114 coins, how many coins would each person get if the coins were split evenly among six people?****Solution: **Each person would get 19 coins.

**Q.2: ** Rebecca needs to divide her collection of 116 model cars into four equal piles, how many cars will be in each pile? ** Solution **To determine the number of cars in each pile, we divide the total number of cars (116) by the number of piles (4). 116 ÷ 4 = 29. Therefore, each pile would contain 29 model cars.

**Q.3: ** A store has 116 books for sale, and there are 5 customers who want to buy them. How many books does each customer get? **Solution** 116 ÷ 5 = 23. Therefore, each customer would get 23 books.

**Q.4: ** Peter is making a cake with 116 ingredients, and he wants to know how many ingredients should be added to each bowl of the cake mixture. How many ingredients should Peter add to each bowl? ** Solution **116 ingredients ÷ 4 bowls = 29 ingredients per bowl. Therefore, Peter should add 29 ingredients to each bowl if he wants to divide the 116 ingredients into 4 equal portions.

**Q.5: ** Mia has an assignment due with a total word count of 1168 words, and she needs to divide it into 6 sections equally with the same number of words in each section, what is the word count per section that Mia requires? ** Solution **1168 words ÷ 6 sections = 194 words per section. Therefore, Mia would need to have 194 words in each section to divide her assignment equally into 6 sections.

**Q.6: ** What is the greatest common factor between two numbers where one number equals 1188 and the other equals 1204? **Solution **The greatest common factor between 1188 and 1204 is 4.

**Q.7: ** Robert baked a batch of cookies containing 116 pieces, he wants 4 children at his party to share them equally, how Many cookies does Robert need to give To Each Child? ** Solution **116 cookies ÷ 4 children = 29 cookies per child. Therefore, Robert needs to give each child 29 cookies so that they can share them equally.

** Q.8: Jessica found out that her number 1168 can be factored into four different prime numbers – 1,2,4, &116 – to determine which two prime numbers when multiplied together will equal 1168 ** 2^4 * 73. From this prime factorization, we can see that the prime factors of 1168 are 2 and 73.

Solution The prime factorization of 1168 is

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## Frequently Asked Questions on Factors of 116

**What are the factors of 116**?

The factors of 116 are 1, 2, 4, 29, 58, and 116.

**Is 116 a prime number?**

No, 116 is not a prime number because it can be divided evenly by more than two numbers (1, 2, 4, 29, 58, and 116).

**What is the greatest common factor between 88 and 120?**

The GCF of 88 and 120 is 8.

**How many coins would each person get if there were an even split among six people of a collection of 116 coins?**

If there were an even split among six people of a collection of 116 coins, each person would receive 116 divided by 6, which is approximately 19 coins.

**How many pages does someone need to read if they have a total of 116 pages with an allotted one minute per page?**

If someone has a total of 116 pages and they are allotted one minute per page, they would need to spend 116 minutes to read all the pages.

**If there are 117 apples how many apples should each person get if they’re split among three people?**

If there are 117 apples and they are split among three people, each person would receive 117 divided by 3, which is approximately 39 apples. However, it’s worth noting that if the number of apples cannot be divided equally among the three people, there may be a remainder or fractional distribution.

**If someone was baking a cake with 117 ingredients how many ingredients should each bowl have?**

If someone is baking a cake with 117 ingredients and wants to distribute them equally among multiple bowls, the exact number of ingredients in each bowl would depend on the desired number of bowls. If we assume an even distribution, for example, if they want to use 3 bowls, each bowl would have 117 divided by 3, which is approximately 39 ingredients.

**How many customers can buy books if there are 116 books for sale and four customers want to purchase them?**

If there are 116 books for sale and four customers want to purchase them, each customer can buy 116 divided by 4, which is 29 books.

Written by

Prerit Jain