# Factors of 2021

Factors of 2021 are 1, 43, 47, and 2021

#### How to find factors of a number

 1.   Find factors of 2021 using Division Method 2.   Find factors of 2021 using Prime Factorization 3.   Find factors of 2021 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2021

• Divide 2021 by 1: 2021 ÷ 1 : Remainder = 0
• Divide 2021 by 43: 2021 ÷ 43 : Remainder = 0
• Divide 2021 by 47: 2021 ÷ 47 : Remainder = 0
• Divide 2021 by 2021: 2021 ÷ 2021 : Remainder = 0

Hence, Factors of 2021 are 1, 43, 47, and 2021

#### 2. Steps to find factors of 2021 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 2021 using the division method, follow these steps:

• Step 1. Start dividing 2021 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 2021, which is 43. Divide 2021 by 43 to obtain the quotient (47).
2021 ÷ 43 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
47 ÷ 47 = 1

So, the prime factorization of 2021 is, 2021 = 43 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2021 as shown below:

So, the prime factorization of 2021 is, 2021 = 43 x 47.

#### 3. Find factors of 2021 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 2021 would be the two numbers which, when multiplied, give 2021 as the result.

The following table represents the calculation of factors of 2021 in pairs:

Factor Pair Pair Factorization
1 and 2021 1 x 2021 = 2021
43 and 47 43 x 47 = 2021

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 2021. They are called negative pair factors.

Hence, the negative pairs of 2021 would be ( -1 , -2021 ) , ( -43 , -47 ) .

#### 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 factor of a number is an exact divisor of that number, example 1, 43, 47, 2021 are exact divisors of 2021.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 2021 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2021.

• What are the pair factors of 2021?

Pair factors of 2021 are (1,2021), (43,47).

• What are five multiples of 2021?

First five multiples of 2021 are 4042, 6063, 8084, 10105, 12126.

• What two numbers make 2021?

Two numbers that make 2021 are 43 and 47.

• What is the sum of all factors of 2021?

The sum of all factors of 2021 is 2112.

• What are factors of -2021?

Factors of -2021 are -1, -43, -47, -2021.

• What are factors of 2021?

Factors of 2021 are 1, 43, 47, 2021.

• Is 2021 a perfect square?

No 2021 is not a perfect square.

• Which is the smallest prime factor of 2021?

Smallest prime factor of 2021 is 43.

• Which is greatest factor of 2021?

The greatest factor of 2021 is 47.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 2021?

Factors of 2021 are 1, 43, 47, 2021.
Odd factors of 2021 are 1, 43, 47, 2021.
Hence product of odd factors of 2021 is; 1 x 43 x 47 x 2021 = 4084441.

Joey wants to write all the prime factors of 2021 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2021 are 43, 47.
So in exponential form it can be written as 43 x 47.

How many factors are there for 2021?

Factors of 2021 are 1, 43, 47, 2021.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 2021. Can you predict the answer?

3 factor(s) of 2021 are 1, 43, 47.

Sammy is puzzled while calculating the prime factors of 2021. Can you help him find them?

Factors of 2021 are 1, 43, 47, 2021.
Prime factors of 2021 are 43, 47

What is prime factorization of 2021?

Prime factorization of 2021 is 43 x 47 = 43 x 47.

Can you help Rubel to find out the product of the even factors of 2021?

Factors of 2021 are 1, 43, 47, 2021.
Even factors of 2021 are 0.
Hence, product of even factors of 2021 is; 0 = 0.