# Factors of 2018

Factors of 2018 are 1, 2, 1009, and 2018

#### How to find factors of a number

 1.   Find factors of 2018 using Division Method 2.   Find factors of 2018 using Prime Factorization 3.   Find factors of 2018 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2018

• Divide 2018 by 1: 2018 ÷ 1 : Remainder = 0
• Divide 2018 by 2: 2018 ÷ 2 : Remainder = 0
• Divide 2018 by 1009: 2018 ÷ 1009 : Remainder = 0
• Divide 2018 by 2018: 2018 ÷ 2018 : Remainder = 0

Hence, Factors of 2018 are 1, 2, 1009, and 2018

#### 2. Steps to find factors of 2018 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 2018 using the division method, follow these steps:

• Step 1. Start dividing 2018 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 2018, which is 2. Divide 2018 by 2 to obtain the quotient (1009).
2018 ÷ 2 = 1009
• Step 3. Repeat step 1 with the obtained quotient (1009).
1009 ÷ 1009 = 1

So, the prime factorization of 2018 is, 2018 = 2 x 1009.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2018 as shown below:

So, the prime factorization of 2018 is, 2018 = 2 x 1009.

#### 3. Find factors of 2018 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 2018 would be the two numbers which, when multiplied, give 2018 as the result.

The following table represents the calculation of factors of 2018 in pairs:

Factor Pair Pair Factorization
1 and 2018 1 x 2018 = 2018
2 and 1009 2 x 1009 = 2018

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 2018. They are called negative pair factors.

Hence, the negative pairs of 2018 would be ( -1 , -2018 ) , ( -2 , -1009 ) .

#### 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. 2018 is a factor of itself.
• 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, 1009, 2018 are exact divisors of 2018.
• 1 is a factor of every number. Eg. 1 is a factor of 2018.
• Every number is a factor of zero (0), since 2018 x 0 = 0.

• What two numbers make 2018?

Two numbers that make 2018 are 2 and 1009.

• What is prime factorization of 2018?

Prime factorization of 2018 is 2 x 1009.

• Write some multiples of 2018?

First five multiples of 2018 are 4036, 6054, 8072, 10090.

• Which is the smallest prime factor of 2018?

The smallest prime factor of 2018 is 2.

• Is 2018 a perfect square?

No 2018 is not a perfect square.

• What is the sum of all factors of 2018?

The sum of all factors of 2018 is 3030.

• What are factors of 2018?

Factors of 2018 are 1, 2, 1009, 2018.

• How do you find factors of a negative number? ( eg. -2018 )?

Factors of -2018 are -1, -2, -1009, -2018.

• Is 2018 a whole number?

Yes 2018 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 2018. Help him in finding the mean of 2018.

Factors of 2018 are 1, 2, 1009, 2018.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 2018 is 1 + 2 + 1009 + 2018 = 3030.
Hence, the mean of factors of 2018 is 3030 ÷ 4 = 757.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2018? Help her in writing all the factors.

Positive factors are 1, 2, 1009, 2018.
Negative factors are -1, -2, -1009, -2018.

Joey wants to write all the prime factors of 2018 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2018 are 2, 1009.
So in exponential form it can be written as 2 x 1009.

Kevin has been asked to write 3 factor(s) of 2018. Can you predict the answer?

3 factor(s) of 2018 are 1, 2, 1009.

Sammy is puzzled while calculating the prime factors of 2018. Can you help him find them?

Factors of 2018 are 1, 2, 1009, 2018.
Prime factors of 2018 are 2, 1009

What is prime factorization of 2018?

Prime factorization of 2018 is 2 x 1009 = 2 x 1009.

Can you help Rubel to find out the product of the even factors of 2018?

Factors of 2018 are 1, 2, 1009, 2018.
Even factors of 2018 are 2, 2018.
Hence, product of even factors of 2018 is; 2 x 2018 = 4036.