# Factors of 111

Factors of 111 are 1, 3, 37, and 111

#### How to find factors of a number

 1.   Find factors of 111 using Division Method 2.   Find factors of 111 using Prime Factorization 3.   Find factors of 111 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 111

• Divide 111 by 1: 111 ÷ 1 : Remainder = 0
• Divide 111 by 3: 111 ÷ 3 : Remainder = 0
• Divide 111 by 37: 111 ÷ 37 : Remainder = 0
• Divide 111 by 111: 111 ÷ 111 : Remainder = 0

Hence, Factors of 111 are 1, 3, 37, and 111

#### 2. Steps to find factors of 111 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 111 using the division method, follow these steps:

• Step 1. Start dividing 111 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 111, which is 3. Divide 111 by 3 to obtain the quotient (37).
111 ÷ 3 = 37
• Step 3. Repeat step 1 with the obtained quotient (37).
37 ÷ 37 = 1

So, the prime factorization of 111 is, 111 = 3 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 111 as shown below:

So, the prime factorization of 111 is, 111 = 3 x 37.

#### 3. Find factors of 111 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 111 would be the two numbers which, when multiplied, give 111 as the result.

The following table represents the calculation of factors of 111 in pairs:

Factor Pair Pair Factorization
1 and 111 1 x 111 = 111
3 and 37 3 x 37 = 111

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 111. They are called negative pair factors.

Hence, the negative pairs of 111 would be ( -1 , -111 ) , ( -3 , -37 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 111 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, 3, 37, 111 are exact divisors of 111.
• Factors of 111 are 1, 3, 37, 111. Each factor divides 111 without leaving a remainder.

• What are the prime factors of 111?

The factors of 111 are 1, 3, 37, 111.
Prime factors of 111 are 3, 37.

• What two numbers make 111?

Two numbers that make 111 are 3 and 37.

• What is the greatest prime factors of 111?

The greatest prime factor of 111 is 37.

• What are factors of 111?

Factors of 111 are 1, 3, 37, 111.

• How do you find factors of a negative number? ( eg. -111 )?

Factors of -111 are -1, -3, -37, -111.

• What are five multiples of 111?

First five multiples of 111 are 222, 333, 444, 555, 666.

• Write some multiples of 111?

First five multiples of 111 are 222, 333, 444, 555.

• Is 111 a perfect square?

No 111 is not a perfect square.

• What two numbers make 111?

Two numbers that make 111 are 3 and 37.

#### Examples of Factors

What is prime factorization of 111?

Prime factorization of 111 is 3 x 37 = 3 x 37.

Sammy is puzzled while calculating the prime factors of 111. Can you help him find them?

Factors of 111 are 1, 3, 37, 111.
Prime factors of 111 are 3, 37

Kevin has been asked to write 3 factor(s) of 111. Can you predict the answer?

3 factor(s) of 111 are 1, 3, 37.

Joey wants to write all the prime factors of 111 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 111 are 3, 37.
So in exponential form it can be written as 3 x 37.

How many factors are there for 111?

Factors of 111 are 1, 3, 37, 111.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 111? Help her in writing all the factors.

Positive factors are 1, 3, 37, 111.
Negative factors are -1, -3, -37, -111.

Can you help Rubel to find out the product of the even factors of 111?

Factors of 111 are 1, 3, 37, 111.
Even factors of 111 are 0.
Hence, product of even factors of 111 is; 0 = 0.