# Factors of 2011

Factors of 2011 are 1 and 2011

#### How to find factors of a number

 1.   Find factors of 2011 using Division Method 2.   Find factors of 2011 using Prime Factorization 3.   Find factors of 2011 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2011

• Divide 2011 by 1: 2011 ÷ 1 : Remainder = 0
• Divide 2011 by 2011: 2011 ÷ 2011 : Remainder = 0

Hence, Factors of 2011 are 1 and 2011

#### 2. Steps to find factors of 2011 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 2011 using the division method, follow these steps:

• Step 1. Start dividing 2011 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 2011, which is 2011. Divide 2011 by 2011 to obtain the quotient (1).
2011 ÷ 2011 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 2011 is, 2011 = 2011.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2011 as shown below:

So, the prime factorization of 2011 is, 2011 = 2011.

#### 3. Find factors of 2011 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 2011 would be the two numbers which, when multiplied, give 2011 as the result.

The following table represents the calculation of factors of 2011 in pairs:

Factor Pair Pair Factorization
1 and 2011 1 x 2011 = 2011

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 2011. They are called negative pair factors.

Hence, the negative pairs of 2011 would be ( -1 , -2011 ) , .

#### 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 2011 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, 2011 are exact divisors of 2011.
• Factors of 2011 are 1, 2011. Each factor divides 2011 without leaving a remainder.

• Is 2011 a perfect square?

No 2011 is not a perfect square.

• What are factors of 2011?

Factors of 2011 are 1, 2011.

• Which is greatest factor of 2011?

The greatest factor of 2011 is 1.

• What is the sum of all factors of 2011?

The sum of all factors of 2011 is 2012.

• What are multiples of 2011?

First five multiples of 2011 are 4022, 6033, 8044, 10055.

• What is the greatest prime factors of 2011?

The greatest prime factor of 2011 is 2011.

• What are six multiples of 2011?

First five multiples of 2011 are 4022, 6033, 8044, 10055, 12066, 14077.

• What is prime factorization of 2011?

Prime factorization of 2011 is 2011.

• Is 2011 a whole number?

Yes 2011 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2011? Help her in writing all the factors.

Positive factors are 1, 2011.
Negative factors are -1, -2011.

Can you help Sammy find out the product of the odd factors of 2011?

Factors of 2011 are 1, 2011.
Odd factors of 2011 are 1, 2011.
Hence product of odd factors of 2011 is; 1 x 2011 = 2011.

Joey wants to write all the prime factors of 2011 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2011 are 2011.
So in exponential form it can be written as 2011.

How many factors are there for 2011?

Factors of 2011 are 1, 2011.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 2011. Can you predict the answer?

1 factor(s) of 2011 is 1.

Sammy is puzzled while calculating the prime factors of 2011. Can you help him find them?

Factors of 2011 are 1, 2011.
Prime factors of 2011 are 2011

What is prime factorization of 2011?

Prime factorization of 2011 is 2011 = 2011.