# Factors of 2020

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, and 2020

#### How to find factors of a number

 1.   Find factors of 2020 using Division Method 2.   Find factors of 2020 using Prime Factorization 3.   Find factors of 2020 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2020

• Divide 2020 by 1: 2020 ÷ 1 : Remainder = 0
• Divide 2020 by 2: 2020 ÷ 2 : Remainder = 0
• Divide 2020 by 4: 2020 ÷ 4 : Remainder = 0
• Divide 2020 by 5: 2020 ÷ 5 : Remainder = 0
• Divide 2020 by 10: 2020 ÷ 10 : Remainder = 0
• Divide 2020 by 20: 2020 ÷ 20 : Remainder = 0
• Divide 2020 by 101: 2020 ÷ 101 : Remainder = 0
• Divide 2020 by 202: 2020 ÷ 202 : Remainder = 0
• Divide 2020 by 404: 2020 ÷ 404 : Remainder = 0
• Divide 2020 by 505: 2020 ÷ 505 : Remainder = 0
• Divide 2020 by 1010: 2020 ÷ 1010 : Remainder = 0
• Divide 2020 by 2020: 2020 ÷ 2020 : Remainder = 0

Hence, Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, and 2020

#### 2. Steps to find factors of 2020 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 2020 using the division method, follow these steps:

• Step 1. Start dividing 2020 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 2020, which is 2. Divide 2020 by 2 to obtain the quotient (1010).
2020 ÷ 2 = 1010
• Step 3. Repeat step 1 with the obtained quotient (1010).
1010 ÷ 2 = 505
505 ÷ 5 = 101
101 ÷ 101 = 1

So, the prime factorization of 2020 is, 2020 = 2 x 2 x 5 x 101.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2020 as shown below:

So, the prime factorization of 2020 is, 2020 = 2 x 2 x 5 x 101.

#### 3. Find factors of 2020 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 2020 would be the two numbers which, when multiplied, give 2020 as the result.

The following table represents the calculation of factors of 2020 in pairs:

Factor Pair Pair Factorization
1 and 2020 1 x 2020 = 2020
2 and 1010 2 x 1010 = 2020
4 and 505 4 x 505 = 2020
5 and 404 5 x 404 = 2020
10 and 202 10 x 202 = 2020
20 and 101 20 x 101 = 2020

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 2020. They are called negative pair factors.

Hence, the negative pairs of 2020 would be ( -1 , -2020 ) , ( -2 , -1010 ) , ( -4 , -505 ) , ( -5 , -404 ) , ( -10 , -202 ) and ( -20 , -101 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 2020 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2020.
• Every number is a factor of zero (0), since 2020 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, 5, 10, 20, 101, 202, 404, 505, 1010, 2020 are exact divisors of 2020.
• Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020. Each factor divides 2020 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020 are all less than or equal to 2020.

• Is 2020 a perfect square?

No 2020 is not a perfect square.

• What are factors of 2020?

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.

• Which is greatest factor of 2020?

The greatest factor of 2020 is 1010.

• What is the sum of all factors of 2020?

The sum of all factors of 2020 is 4284.

• What are multiples of 2020?

First five multiples of 2020 are 4040, 6060, 8080, 10100.

• What is the greatest prime factors of 2020?

The greatest prime factor of 2020 is 101.

• What are six multiples of 2020?

First five multiples of 2020 are 4040, 6060, 8080, 10100, 12120, 14140.

• What is prime factorization of 2020?

Prime factorization of 2020 is 2 x 2 x 5 x 101.

• Is 2020 a whole number?

Yes 2020 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2020? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.
Negative factors are -1, -2, -4, -5, -10, -20, -101, -202, -404, -505, -1010, -2020.

Can you help Sammy find out the product of the odd factors of 2020?

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.
Odd factors of 2020 are 1, 5, 101, 505.
Hence product of odd factors of 2020 is; 1 x 5 x 101 x 505 = 255025.

Joey wants to write all the prime factors of 2020 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2020 are 2, 2, 5, 101.
So in exponential form it can be written as 22 x 5 x 101.

How many factors are there for 2020?

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 2020. Can you predict the answer?

11 factor(s) of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010.

Sammy is puzzled while calculating the prime factors of 2020. Can you help him find them?

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.
Prime factors of 2020 are 2, 2, 5, 101

What is prime factorization of 2020?

Prime factorization of 2020 is 2 x 2 x 5 x 101 = 22 x 5 x 101.