# Factors of 113

Factors of 113 are 1 and 113

#### How to find factors of a number

 1.   Find factors of 113 using Division Method 2.   Find factors of 113 using Prime Factorization 3.   Find factors of 113 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 113

• Divide 113 by 1: 113 ÷ 1 : Remainder = 0
• Divide 113 by 113: 113 ÷ 113 : Remainder = 0

Hence, Factors of 113 are 1 and 113

#### 2. Steps to find factors of 113 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 113 using the division method, follow these steps:

• Step 1. Start dividing 113 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 113, which is 113. Divide 113 by 113 to obtain the quotient (1).
113 ÷ 113 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 113 is, 113 = 113.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 113 as shown below:

So, the prime factorization of 113 is, 113 = 113.

#### 3. Find factors of 113 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 113 would be the two numbers which, when multiplied, give 113 as the result.

The following table represents the calculation of factors of 113 in pairs:

Factor Pair Pair Factorization
1 and 113 1 x 113 = 113

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 113. They are called negative pair factors.

Hence, the negative pairs of 113 would be ( -1 , -113 ) , .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 113 are exact divisors of 113.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 113 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 113.

• What are the pair factors of 113?

Pair factors of 113 are (1,113).

• What are five multiples of 113?

First five multiples of 113 are 226, 339, 452, 565, 678.

• What two numbers make 113?

Two numbers that make 113 are 113 and 1.

• What is the sum of all factors of 113?

The sum of all factors of 113 is 114.

• What are factors of -113?

Factors of -113 are -1, -113.

• What are factors of 113?

Factors of 113 are 1, 113.

• Is 113 a perfect square?

No 113 is not a perfect square.

• Which is the smallest prime factor of 113?

Smallest prime factor of 113 is 113.

• Which is greatest factor of 113?

The greatest factor of 113 is 1.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 113?

Factors of 113 are 1, 113.
Odd factors of 113 are 1, 113.
Hence product of odd factors of 113 is; 1 x 113 = 113.

Joey wants to write all the prime factors of 113 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 113 are 113.
So in exponential form it can be written as 113.

How many factors are there for 113?

Factors of 113 are 1, 113.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 113. Can you predict the answer?

1 factor(s) of 113 is 1.

Sammy is puzzled while calculating the prime factors of 113. Can you help him find them?

Factors of 113 are 1, 113.
Prime factors of 113 are 113

What is prime factorization of 113?

Prime factorization of 113 is 113 = 113.

Can you help Rubel to find out the product of the even factors of 113?

Factors of 113 are 1, 113.
Even factors of 113 are 0.
Hence, product of even factors of 113 is; 0 = 0.