Factors of 188

The numbers that divide 188 evenly are known as factors of 188. A factor of 188 is a number that divides the number without a remainder. The factors of 188 are 1, 2, 4, 47, 94, and 188.

Negative factors of 188: -1, -2, -4, -47, -94, and -188.

Prime factors of 188: 2 and 47.

Prime factorization of 188: 2² × 47.

The sum of factors of 188: 1 + 2 + 4 + 47 + 94 + 188 = 336.

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

1. Finding factors using multiplication
2. Finding factors using the 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 188. Identifying the numbers which are multiplied to get the number 188 is the multiplication method.

Step 1: Multiply 188 by 1, 188 × 1 = 188.

Step 2: Check for other numbers that give 188 after multiplying 2 × 94 = 188 4 × 47 = 188

Therefore, the positive factor pairs of 188 are: (1, 188), (2, 94), and (4, 47).

All these factor pairs result in 188. For every positive factor, there is a negative factor.

Dividing the given numbers with 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 188 by 1, 188 ÷ 1 = 188.

Step 2: Continue dividing 188 by the numbers until the remainder becomes 0.

188 ÷ 1 = 188

188 ÷ 2 = 94

188 ÷ 4 = 47

Therefore, the factors of 188 are: 1, 2, 4, 47, 94, and 188.

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

188 ÷ 2 = 94

94 ÷ 2 = 47

47 ÷ 47 = 1

The prime factors of 188 are 2 and 47. The prime factorization of 188 is: 2² × 47.

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

Step 1: Firstly, 188 is divided by 2 to get 94.

Step 2: Now divide 94 by 2 to get 47. Here, 47 is a prime number that cannot be divided anymore. So, the prime factorization of 188 is: 2² × 47.

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 188: (1, 188), (2, 94), and (4, 47).
• Negative factor pairs of 188: (-1, -188), (-2, -94), and (-4, -47).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 188 are 1, 2, 4, 47, 94, and 188.

• Prime factors: The factors which are prime numbers. For example, 2 and 47 are prime factors of 188.

• 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 188 are (1, 188), (2, 94), etc.

• Prime factorization: The expression of a number as the product of its prime factors. For example, for 188, it is 2² × 47.

• Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number.