# Factors of 115

Factors of 115 are 1, 5, 23, and 115

#### How to find factors of a number

 1.   Find factors of 115 using Division Method 2.   Find factors of 115 using Prime Factorization 3.   Find factors of 115 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 115

• Divide 115 by 1: 115 ÷ 1 : Remainder = 0
• Divide 115 by 5: 115 ÷ 5 : Remainder = 0
• Divide 115 by 23: 115 ÷ 23 : Remainder = 0
• Divide 115 by 115: 115 ÷ 115 : Remainder = 0

Hence, Factors of 115 are 1, 5, 23, and 115

#### 2. Steps to find factors of 115 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 115 using the division method, follow these steps:

• Step 1. Start dividing 115 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 115, which is 5. Divide 115 by 5 to obtain the quotient (23).
115 ÷ 5 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
23 ÷ 23 = 1

So, the prime factorization of 115 is, 115 = 5 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 115 as shown below:

So, the prime factorization of 115 is, 115 = 5 x 23.

#### 3. Find factors of 115 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 115 would be the two numbers which, when multiplied, give 115 as the result.

The following table represents the calculation of factors of 115 in pairs:

Factor Pair Pair Factorization
1 and 115 1 x 115 = 115
5 and 23 5 x 23 = 115

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 115. They are called negative pair factors.

Hence, the negative pairs of 115 would be ( -1 , -115 ) , ( -5 , -23 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 115 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 23, 115 are exact divisors of 115.
• Factors of 115 are 1, 5, 23, 115. Each factor divides 115 without leaving a remainder.

• Which is the smallest prime factor of 115?

The smallest prime factor of 115 is 5.

• Is 115 a whole number?

Yes 115 is a whole number.

• What are the prime factors of 115?

The factors of 115 are 1, 5, 23, 115.
Prime factors of 115 are 5, 23.

• What two numbers make 115?

Two numbers that make 115 are 5 and 23.

• What are multiples of 115?

First five multiples of 115 are 230, 345, 460, 575.

• What is the sum of all factors of 115?

The sum of all factors of 115 is 144.

• What are five multiples of 115?

First five multiples of 115 are 230, 345, 460, 575, 690.

• Is 115 a perfect square?

No 115 is not a perfect square.

• What is the greatest prime factors of 115?

The greatest prime factor of 115 is 23.

#### Examples of Factors

How many factors are there for 115?

Factors of 115 are 1, 5, 23, 115.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 115. Can you predict the answer?

3 factor(s) of 115 are 1, 5, 23.

Sammy is puzzled while calculating the prime factors of 115. Can you help him find them?

Factors of 115 are 1, 5, 23, 115.
Prime factors of 115 are 5, 23

What is prime factorization of 115?

Prime factorization of 115 is 5 x 23 = 5 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 115. Can you help her?

Prime factors of 115 are 5, 23.
Hence, the product of prime factors of 115.

Can you help Rubel to find out the product of the even factors of 115?

Factors of 115 are 1, 5, 23, 115.
Even factors of 115 are 0.
Hence, product of even factors of 115 is; 0 = 0.

Joy wants to calculate mean of all the factors of 115. Help him in finding the mean of 115.

Factors of 115 are 1, 5, 23, 115.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 115 is 1 + 5 + 23 + 115 = 144.
Hence, the mean of factors of 115 is 144 ÷ 4 = 36.00.