Factors

# Factors of 113 | Prime Factorization of 113 | Factor Tree of 113

Written by Prerit Jain

Updated on: 18 Jun 2023

Contents

### Factors of 113 | Prime Factorization of 113 | Factor Tree of 113

## Factors of 113

Factors of 113 | Factor Pairs of 113 | Prime factors of 113 |

1, 113 | (1,113) | 113 |

**Factors of 113**,

**Factor Pairs of 113**,

**Prime factors of 113**

Calculate Factors of

**The Factors are**

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## What are the factors of 113

The factors of 113 are 1 and 113. 113 is a prime number, which means it has only two factors: 1 and itself.

To find the factors of 113, we can use the following steps:

- Write down the number 113 and its factors 1 and 113.
- Divide 113 by each of its factors (1 and 113) to see if there is a remainder. If there is no remainder, then the factor is a valid factor of 113.

**Using this method, we can see that the only factors of 113 are 1 and 113.**

## How to Find Factors of 113

The following are the most widely used methods to find the factors of a number and through the same methods, we can find the factors of 113 can be found:

1. Factor of 113 using the Multiplication Method

2. Factors of 113 using the Division Method

3. Prime Factorization of 113

4. Factor tree of 113

## Factors of 113 Using the Multiplication Method

The following are the steps through which we can find the factors:

- Write down the number whose factors you want to find, in this case, 113.
- Write down the number 1, as it is a factor of every number.
- Multiply 1 by each number starting from 2 and going up in increments of 1 (2, 3, 4, etc.) until you reach a number that is greater than the number you are trying to factor.
- For each number, multiply it by 1 and check if the result is the original number. If it is, then the number is a factor of 113.
- Write down all the valid factors in a list.

Using this method, we can see that the only factors of 113 are 1 and 113.

## Factors of 113 Using the Division Method

The factors of 113 can also be found using the division method as follows:

- Write down the number 113 and its factors 1 and 113.
- Starting with 1, divide 113 by each of its factors and check the remainder. If there is no remainder, then the factor is a valid factor of 113.

Using this method, we can see that the only factors of 113 are 1 and 113.

Here is the complete calculation:

113 / 1 = 113 (no remainder)

113 / 113 = 1 (no remainder)

Therefore, the factors of 113 are 1 and 113.

This method is similar to the multiplication method, but instead of multiplying the factors to see if they produce the original number, you divide the original number by the factors to see if there is a remainder. If there is no remainder, then the factor is a valid factor of the original number.

## Prime Factorization of 113

Calculate Prime Factors of

The Prime Factors of 113 =

113

- Write down the number whose prime factorization you want to find, in this case, 113.
- Divide the number by the smallest prime number, 2. If there is no remainder, write down the number and divide the result by the next smallest prime number. If there is a remainder, divide the number by the next smallest prime number.
- Repeat this process until you can’t divide anymore.

Using this method, we can see that the prime factorization of 113 is the number itself: 113.

Here is the complete calculation:

113 / 2 = 56 remainder 1

113 / 3 = 37 remainder 2

113 / 5 = 22 remainder 3

113 / 7 = 16 remainder 1

113 / 11 = 10 remainder 3

113 / 13 = 8 remainder 5

Since we can’t divide any further, the prime factorization of 113 is the list of all the prime numbers that we divided by: 2, 3, 5, 7, 11, and 13.

However, since 113 is itself a prime number, its prime factorization is simply the number itself: 113.

## Factor tree of 113

- Write down the number whose prime factors you want to find.
- Divide the number by the smallest prime number. If there is no remainder, write down the result and divide it by the next smallest prime number. If there is a remainder, divide the number by the next smallest prime number.
- Repeat this process until you can’t divide anymore.
- The prime factorization of a number is the list of all the prime numbers that can be multiplied together to get the number.

Using this method, we can see that the prime factorization of 113 is the number itself: 113.

Here is the complete calculation:

113 / 2 = 56 remainder 1

113 / 3 = 37 remainder 2

113 / 5 = 22 remainder 3

113 / 7 = 16 remainder 1

113 / 11 = 10 remainder 3

113 / 13 = 8 remainder 5

Since we can’t divide any further, the prime factorization of 113 is the list of all the prime numbers that we divided by: 2, 3, 5, 7, 11, and 13.

However, since 113 is itself a prime number, its prime factorization is simply the number itself: 113.

## Factor Pairs of 113

Calculate Pair Factors of

1 x 113=113

So Pair Factors of 113 are

(1,113)

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

Since 113 is a prime number, it only has two factors: 1 and itself. Therefore, the factor pairs of 113 are:

(1, 113)

(113, 1)

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

- Write down the number whose factor pairs you want to find, in this case, 113.
- Divide the number by each of its factors (1 and 113) to see if there is a remainder. If there is no remainder, then the factor is a valid factor of 113.
- Write down all the valid factor pairs in a list.

## More Factors

## Factors of 113 – Quick Recap

**Factors of 113:**1, 113**Negative Factors of 113:**-1, -113.**Prime Factors of 113:**113**Prime Factorization of 113:**

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

## Solved Examples of Factor of 113

**Q.1: What is the prime factorization of 113? ****Solution: **The prime factorization of 113 is 113.

**Q.2** How many factors does 113 have? **Solution:** 113 has two factors, 1 and 113.

**Q.3:** What two numbers multiplied together equal 111? **Solution:** The factors of 111 are 1, 3, 37, and 111. Therefore, the two numbers that multiply together to equal 111 are 3 and 37. 3 × 37 = 111. So, 3 and 37 are the two numbers that, when multiplied, equal 111.

**Q.4:** Is there a perfect square number that divides into 111 evenly? **Solution:** No, there is no perfect square number that divides into 111 evenly. The prime factorization of 111 is 3 × 37. Both 3 and 37 are prime numbers and have an odd exponent in the prime factorization of 111. Since a perfect square number requires even exponents for all its prime factors, there is no perfect square number that divides into 111 evenly.

**Q.5:** Is there an even number that divides into 111 evenly? ** Solution: **No, there is no even number that divides into 111 evenly.

** Q.6: Is there a multiple of 11 in which 111 is a part of it? Solution:** Yes, there is a multiple of 11 in which 111 is a part. The multiple of 11 that includes 111 is 11 times 10, which equals 110.

** Q.7: What is the lowest common multiple between 60 and 111? Solution:** The lowest common multiple between 60 and 111 is 660 (60 x 11=660; 66 x 10 = 660).

**Q.8: If you divide 112 by 8 what would be your answer? **** Solution: **The answer to dividing 112 by 8 would be 14 (112/8 = 14).

**Q.**9:**What two numbers multiplied together equal 112? **** Solution: **8 and 14 multiplied together equal 112 (8×14=112).

**Q.10:** If you divide 112 by 4 what would be your answer? ** Solution: **The answer to dividing 112 by 4 would be 28 (112/4 = 28).

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## Frequently Asked Questions on Factors of 113

**What are the factors of 113?**

The factors of 113 are 1, 113.

**What is the prime factorization of 113?**

The prime factorization of 113 is 113.

**How many divisors does 113 have?**

113 has 2 divisors (1 and 113).

**Does 113 have any common factors with 60?**

No, there are no common factors between 60 and 113.

**Can you express 111 as a product of its prime numbers?**

No, you cannot express it as 111.

**Is there a perfect square number that divides into 111 evenly? **

No, there is no perfect square number that divides into 111 evenly.

**Is there an even number that divides into 111 evenly?**

No, there is no even number that divides into 111 evenly.

**Is there a multiple of 11 in which 111 is a part of it? **

Yes – 121 is a multiple of 11 in which 111 is a part of it (121/11 = 11).

Written by by

Prerit Jain