Factors of 118
2026-02-28 19:19 Diff
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Last updated on December 11, 2025

Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 118, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 118?

The numbers that divide 118 evenly are known as factors of 118. A factor of 118 is a number that divides the number without remainder. The factors of 118 are 1, 2, 59, and 118.

Negative factors of 118: -1, -2, -59, and -118.

Prime factors of 118: 2 and 59.

Prime factorization of 118: 2 × 59.

The sum of factors of 118: 1 + 2 + 59 + 118 = 180

How to Find Factors of 118?

Factors can be found using different methods. Mentioned below are some commonly used methods:

  • Finding factors using multiplication
  • Finding factors using division method
  • Prime factors and Prime factorization

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 118. Identifying the numbers which are multiplied to get the number 118 is the multiplication method.

Step 1: Multiply 118 by 1, 118 × 1 = 118.

Step 2: Check for other numbers that give 118 after multiplying 2 × 59 = 118

Therefore, the positive factor pairs of 118 are: (1, 118) and (2, 59).

All these factor pairs result in 118. For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method -

Step 1: Divide 118 by 1, 118 ÷ 1 = 118.

Step 2: Continue dividing 118 by the numbers until the remainder becomes 0.

118 ÷ 1 = 118

118 ÷ 2 = 59

Therefore, the factors of 118 are: 1, 2, 59, and 118.

Prime Factors and Prime Factorization

The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 118 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

118 ÷ 2 = 59

59 ÷ 59 = 1

The prime factors of 118 are 2 and 59. The prime factorization of 118 is: 2 × 59.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 118 is divided by 2 to get 59.

Step 2: 59 is a prime number and cannot be divided further. So, the prime factorization of 118 is: 2 × 59.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

  • Positive factor pairs of 118: (1, 118) and (2, 59).
  • Negative factor pairs of 118: (-1, -118) and (-2, -59).

Common Mistakes and How to Avoid Them in Factors of 118

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

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Problem 1

There are 59 books and 118 pages. How will they divide it equally?

Okay, lets begin

They will get 2 pages each.

Explanation

To divide the pages equally, we need to divide the total pages by the number of books.

118/59 = 2

Well explained 👍

Problem 2

A rectangular painting has a width of 2 meters and a total area of 118 square meters. Find the length?

Okay, lets begin

59 meters.

Explanation

To find the length of the painting, we use the formula,

Area = length × width

118 = length × 2

To find the value of length, we need to shift 2 to the left side.

118/2 = length

Length = 59.

Well explained 👍

Problem 3

There are 2 shelves and 118 books. How many books will be in each shelf?

Okay, lets begin

Each shelf will have 59 books.

Explanation

To find the books in each shelf, divide the total books by the number of shelves.

118/2 = 59

Well explained 👍

Problem 4

In a classroom, there are 118 chairs, and 1 row. How many chairs are in each row?

Okay, lets begin

There are 118 chairs in each row.

Explanation

Dividing the chairs by the total rows, we will get the number of chairs in each row.

118/1 = 118

Well explained 👍

Problem 5

118 apples need to be arranged in 59 baskets. How many apples will go in each basket?

Okay, lets begin

Each basket will have 2 apples.

Explanation

Divide total apples by baskets.

118/59 = 2

Well explained 👍

FAQs on Factors of 118

1.What are the factors of 118?

1, 2, 59, 118 are the factors of 118.

2.Mention the prime factors of 118.

The prime factors of 118 are 2 × 59.

3.Is 118 a multiple of 2?

4.Mention the factor pairs of 118?

(1, 118) and (2, 59) are the factor pairs of 118.

5.What is the square of 118?

Important Glossaries for Factors of 118

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 118 are 1, 2, 59, and 118.
  • Prime factors: The factors which are prime numbers. For example, 2 and 59 are prime factors of 118.
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 118 are (1, 118) and (2, 59).
  • Prime factorization: The process of breaking down a number into its prime factors. For 118, it is 2 × 59.
  • Negative factors: These are factors of a number that are negative. For example, the negative factors of 118 are -1, -2, -59, and -118.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.