# Factors of 118

Factors of 118 are 1, 2, 59, and 118

#### How to find factors of a number

 1.   Find factors of 118 using Division Method 2.   Find factors of 118 using Prime Factorization 3.   Find factors of 118 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 118

• Divide 118 by 1: 118 ÷ 1 : Remainder = 0
• Divide 118 by 2: 118 ÷ 2 : Remainder = 0
• Divide 118 by 59: 118 ÷ 59 : Remainder = 0
• Divide 118 by 118: 118 ÷ 118 : Remainder = 0

Hence, Factors of 118 are 1, 2, 59, and 118

#### 2. Steps to find factors of 118 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 118 using the division method, follow these steps:

• Step 1. Start dividing 118 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 118, which is 2. Divide 118 by 2 to obtain the quotient (59).
118 ÷ 2 = 59
• Step 3. Repeat step 1 with the obtained quotient (59).
59 ÷ 59 = 1

So, the prime factorization of 118 is, 118 = 2 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 118 as shown below:

So, the prime factorization of 118 is, 118 = 2 x 59.

#### 3. Find factors of 118 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 118 would be the two numbers which, when multiplied, give 118 as the result.

The following table represents the calculation of factors of 118 in pairs:

Factor Pair Pair Factorization
1 and 118 1 x 118 = 118
2 and 59 2 x 59 = 118

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 118. They are called negative pair factors.

Hence, the negative pairs of 118 would be ( -1 , -118 ) , ( -2 , -59 ) .

#### 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

• Each number is a factor of itself. Eg. 118 is a factor of itself.
• 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, 2, 59, 118 are exact divisors of 118.
• 1 is a factor of every number. Eg. 1 is a factor of 118.
• Every number is a factor of zero (0), since 118 x 0 = 0.

• What are the prime factors of 118?

The factors of 118 are 1, 2, 59, 118.
Prime factors of 118 are 2, 59.

• What is the sum of all factors of 118?

The sum of all factors of 118 is 180.

• What are the pair factors of 118?

Pair factors of 118 are (1,118), (2,59).

• What two numbers make 118?

Two numbers that make 118 are 2 and 59.

• What are multiples of 118?

First five multiples of 118 are 236, 354, 472, 590.

• Is 118 a perfect square?

No 118 is not a perfect square.

• Which is greatest factor of 118?

The greatest factor of 118 is 59.

• How do you factors of 118?

Factors of 118 are 1, 2, 59, 118.

• What are five multiples of 118?

First five multiples of 118 are 236, 354, 472, 590, 708.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 118?

Factors of 118 are 1, 2, 59, 118.
Even factors of 118 are 2, 118.
Hence, product of even factors of 118 is; 2 x 118 = 236.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 118? Help her in writing all the factors.

Positive factors are 1, 2, 59, 118.
Negative factors are -1, -2, -59, -118.

How many factors are there for 118?

Factors of 118 are 1, 2, 59, 118.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 118. Can you help him find them?

Factors of 118 are 1, 2, 59, 118.
Prime factors of 118 are 2, 59

Joey wants to write all the prime factors of 118 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 118 are 2, 59.
So in exponential form it can be written as 2 x 59.

What is prime factorization of 118?

Prime factorization of 118 is 2 x 59 = 2 x 59.

Can you help Rubel to find out the product of the even factors of 118?

Factors of 118 are 1, 2, 59, 118.
Even factors of 118 are 2, 118.
Hence, product of even factors of 118 is; 2 x 118 = 236.