# Factors of 187

Factors of 187 are 1, 11, 17, and 187

#### How to find factors of a number

 1.   Find factors of 187 using Division Method 2.   Find factors of 187 using Prime Factorization 3.   Find factors of 187 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 187

• Divide 187 by 1: 187 ÷ 1 : Remainder = 0
• Divide 187 by 11: 187 ÷ 11 : Remainder = 0
• Divide 187 by 17: 187 ÷ 17 : Remainder = 0
• Divide 187 by 187: 187 ÷ 187 : Remainder = 0

Hence, Factors of 187 are 1, 11, 17, and 187

#### 2. Steps to find factors of 187 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 187 using the division method, follow these steps:

• Step 1. Start dividing 187 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 187, which is 11. Divide 187 by 11 to obtain the quotient (17).
187 ÷ 11 = 17
• Step 3. Repeat step 1 with the obtained quotient (17).
17 ÷ 17 = 1

So, the prime factorization of 187 is, 187 = 11 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 187 as shown below:

So, the prime factorization of 187 is, 187 = 11 x 17.

#### 3. Find factors of 187 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 187 would be the two numbers which, when multiplied, give 187 as the result.

The following table represents the calculation of factors of 187 in pairs:

Factor Pair Pair Factorization
1 and 187 1 x 187 = 187
11 and 17 11 x 17 = 187

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 187. They are called negative pair factors.

Hence, the negative pairs of 187 would be ( -1 , -187 ) , ( -11 , -17 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 187 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, 11, 17, 187 are exact divisors of 187.
• Factors of 187 are 1, 11, 17, 187. Each factor divides 187 without leaving a remainder.

• Which is the smallest prime factor of 187?

The smallest prime factor of 187 is 11.

• Is 187 a whole number?

Yes 187 is a whole number.

• What are the prime factors of 187?

The factors of 187 are 1, 11, 17, 187.
Prime factors of 187 are 11, 17.

• What two numbers make 187?

Two numbers that make 187 are 11 and 17.

• What are multiples of 187?

First five multiples of 187 are 374, 561, 748, 935.

• What is the sum of all factors of 187?

The sum of all factors of 187 is 216.

• What are five multiples of 187?

First five multiples of 187 are 374, 561, 748, 935, 1122.

• Is 187 a perfect square?

No 187 is not a perfect square.

• What is the greatest prime factors of 187?

The greatest prime factor of 187 is 17.

#### Examples of Factors

How many factors are there for 187?

Factors of 187 are 1, 11, 17, 187.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 187. Can you predict the answer?

3 factor(s) of 187 are 1, 11, 17.

Sammy is puzzled while calculating the prime factors of 187. Can you help him find them?

Factors of 187 are 1, 11, 17, 187.
Prime factors of 187 are 11, 17

What is prime factorization of 187?

Prime factorization of 187 is 11 x 17 = 11 x 17.

Ariel has been assigned the task to find the product of all the prime factors of 187. Can you help her?

Prime factors of 187 are 11, 17.
Hence, the product of prime factors of 187.

Can you help Rubel to find out the product of the even factors of 187?

Factors of 187 are 1, 11, 17, 187.
Even factors of 187 are 0.
Hence, product of even factors of 187 is; 0 = 0.

Joy wants to calculate mean of all the factors of 187. Help him in finding the mean of 187.

Factors of 187 are 1, 11, 17, 187.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 187 is 1 + 11 + 17 + 187 = 216.
Hence, the mean of factors of 187 is 216 ÷ 4 = 54.00.