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

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

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.

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.

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

• Using prime factorization
• Using factor tree

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.

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).

• 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.