# Factors of 188

Factors of 188 are 1, 2, 4, 47, 94, and 188

#### How to find factors of a number

 1.   Find factors of 188 using Division Method 2.   Find factors of 188 using Prime Factorization 3.   Find factors of 188 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 188

• Divide 188 by 1: 188 ÷ 1 : Remainder = 0
• Divide 188 by 2: 188 ÷ 2 : Remainder = 0
• Divide 188 by 4: 188 ÷ 4 : Remainder = 0
• Divide 188 by 47: 188 ÷ 47 : Remainder = 0
• Divide 188 by 94: 188 ÷ 94 : Remainder = 0
• Divide 188 by 188: 188 ÷ 188 : Remainder = 0

Hence, Factors of 188 are 1, 2, 4, 47, 94, and 188

#### 2. Steps to find factors of 188 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 188 using the division method, follow these steps:

• Step 1. Start dividing 188 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 188, which is 2. Divide 188 by 2 to obtain the quotient (94).
188 ÷ 2 = 94
• Step 3. Repeat step 1 with the obtained quotient (94).
94 ÷ 2 = 47
47 ÷ 47 = 1

So, the prime factorization of 188 is, 188 = 2 x 2 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 188 as shown below:

So, the prime factorization of 188 is, 188 = 2 x 2 x 47.

#### 3. Find factors of 188 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 188 would be the two numbers which, when multiplied, give 188 as the result.

The following table represents the calculation of factors of 188 in pairs:

Factor Pair Pair Factorization
1 and 188 1 x 188 = 188
2 and 94 2 x 94 = 188
4 and 47 4 x 47 = 188

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 188. They are called negative pair factors.

Hence, the negative pairs of 188 would be ( -1 , -188 ) , ( -2 , -94 ) and ( -4 , -47 ) .

#### 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. 188 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 188.
• Every number is a factor of zero (0), since 188 x 0 = 0.
• 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, 4, 47, 94, 188 are exact divisors of 188.
• Factors of 188 are 1, 2, 4, 47, 94, 188. Each factor divides 188 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 47, 94, 188 are all less than or equal to 188.

• What is prime factorization of 188?

Prime factorization of 188 is 2 x 2 x 47.

• How do you find factors of a negative number? ( eg. -188 )?

Factors of -188 are -1, -2, -4, -47, -94, -188.

• What are the prime factors of 188?

The factors of 188 are 1, 2, 4, 47, 94, 188.
Prime factors of 188 are 2, 2, 47.

• What are pair factors of 188?

The pair factors of 188 are (1,188), (2,94), (4,47).

• What is the greatest prime factors of 188?

The greatest prime factor of 188 is 47.

• What are six multiples of 188?

First five multiples of 188 are 376, 564, 752, 940, 1128, 1316.

• What are factors of 188?

Factors of 188 are 1, 2, 4, 47, 94, 188.

• Which is the smallest prime factor of 188?

Smallest prime factor of 188 is 2.

• Is 188 a whole number?

Yes 188 is a whole number.

#### Examples of Factors

Kevin has been asked to write 5 factor(s) of 188. Can you predict the answer?

5 factor(s) of 188 are 1, 2, 4, 47, 94.

Sammy is puzzled while calculating the prime factors of 188. Can you help him find them?

Factors of 188 are 1, 2, 4, 47, 94, 188.
Prime factors of 188 are 2, 2, 47

What is prime factorization of 188?

Prime factorization of 188 is 2 x 2 x 47 = 22 x 47.

Ariel has been assigned the task to find the product of all the prime factors of 188. Can you help her?

Prime factors of 188 are 2, 2, 47.
Hence, the product of prime factors of 94.

Can you help Rubel to find out the product of the even factors of 188?

Factors of 188 are 1, 2, 4, 47, 94, 188.
Even factors of 188 are 2, 4, 94, 188.
Hence, product of even factors of 188 is; 2 x 4 x 94 x 188 = 141376.

Joy wants to calculate mean of all the factors of 188. Help him in finding the mean of 188.

Factors of 188 are 1, 2, 4, 47, 94, 188.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 188 is 1 + 2 + 4 + 47 + 94 + 188 = 336.
Hence, the mean of factors of 188 is 336 ÷ 6 = 56.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 188? Help her in writing all the factors.

Positive factors are 1, 2, 4, 47, 94, 188.
Negative factors are -1, -2, -4, -47, -94, -188.