Factors of 116

The numbers that divide 116 evenly are known as factors of 116. A factor of 116 is a number that divides the number without remainder. The factors of 116 are 1, 2, 4, 29, 58, and 116.

Negative factors of 116: -1, -2, -4, -29, -58, and -116.

Prime factors of 116: 2 and 29.

Prime factorization of 116: 2 × 2 × 29.

The sum of factors of 116: 1 + 2 + 4 + 29 + 58 + 116 = 210

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

1. Finding factors using multiplication
2. Finding factors using division method
3. Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 116. Identifying the numbers which are multiplied to get the number 116 is the multiplication method.

Step 1: Multiply 116 by 1, 116 × 1 = 116.

Step 2: Check for other numbers that give 116 after multiplying     2 × 58 = 116

4 × 29 = 116

Therefore, the positive factor pairs of 116 are: (1, 116), (2, 58), and (4, 29). All these factor pairs result in 116. 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 as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 116 by 1, 116 ÷ 1 = 116.

Step 2: Continue dividing 116 by the numbers until the remainder becomes 0.

116 ÷ 1 = 116

116 ÷ 2 = 58

116 ÷ 4 = 29

Therefore, the factors of 116 are: 1, 2, 4, 29, 58, 116.

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 116 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

116 ÷ 2 = 58

58 ÷ 2 = 29

29 ÷ 29 = 1

The prime factors of 116 are 2 and 29. The prime factorization of 116 is: 2 × 2 × 29.

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

Step 1: Firstly, 116 is divided by 2 to get 58.

Step 2: Now divide 58 by 2 to get 29. Here, 29 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 116 is: 2 × 2 × 29.

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 116: (1, 116), (2, 58), and (4, 29). Negative factor pairs of 116: (-1, -116), (-2, -58), and (-4, -29).

Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 116 are 1, 2, 4, 29, 58, and 116.

Prime factors: The factors which are prime numbers. For example, 2 and 29 are prime factors of 116.

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 116 are (1, 116), (2, 58), and (4, 29).

Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 116 is 2 × 2 × 29.

Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -2, -4, -29, -58, and -116 are negative factors of 116.