# Factors of 1012

Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, and 1012

#### How to find factors of a number

 1.   Find factors of 1012 using Division Method 2.   Find factors of 1012 using Prime Factorization 3.   Find factors of 1012 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1012

• Divide 1012 by 1: 1012 ÷ 1 : Remainder = 0
• Divide 1012 by 2: 1012 ÷ 2 : Remainder = 0
• Divide 1012 by 4: 1012 ÷ 4 : Remainder = 0
• Divide 1012 by 11: 1012 ÷ 11 : Remainder = 0
• Divide 1012 by 22: 1012 ÷ 22 : Remainder = 0
• Divide 1012 by 23: 1012 ÷ 23 : Remainder = 0
• Divide 1012 by 44: 1012 ÷ 44 : Remainder = 0
• Divide 1012 by 46: 1012 ÷ 46 : Remainder = 0
• Divide 1012 by 92: 1012 ÷ 92 : Remainder = 0
• Divide 1012 by 253: 1012 ÷ 253 : Remainder = 0
• Divide 1012 by 506: 1012 ÷ 506 : Remainder = 0
• Divide 1012 by 1012: 1012 ÷ 1012 : Remainder = 0

Hence, Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, and 1012

#### 2. Steps to find factors of 1012 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 1012 using the division method, follow these steps:

• Step 1. Start dividing 1012 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 1012, which is 2. Divide 1012 by 2 to obtain the quotient (506).
1012 ÷ 2 = 506
• Step 3. Repeat step 1 with the obtained quotient (506).
506 ÷ 2 = 253
253 ÷ 11 = 23
23 ÷ 23 = 1

So, the prime factorization of 1012 is, 1012 = 2 x 2 x 11 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1012 as shown below:

So, the prime factorization of 1012 is, 1012 = 2 x 2 x 11 x 23.

#### 3. Find factors of 1012 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 1012 would be the two numbers which, when multiplied, give 1012 as the result.

The following table represents the calculation of factors of 1012 in pairs:

Factor Pair Pair Factorization
1 and 1012 1 x 1012 = 1012
2 and 506 2 x 506 = 1012
4 and 253 4 x 253 = 1012
11 and 92 11 x 92 = 1012
22 and 46 22 x 46 = 1012
23 and 44 23 x 44 = 1012

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 1012. They are called negative pair factors.

Hence, the negative pairs of 1012 would be ( -1 , -1012 ) , ( -2 , -506 ) , ( -4 , -253 ) , ( -11 , -92 ) , ( -22 , -46 ) and ( -23 , -44 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 1012 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1012.
• Every number is a factor of zero (0), since 1012 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, 11, 22, 23, 44, 46, 92, 253, 506, 1012 are exact divisors of 1012.
• Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. Each factor divides 1012 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012 are all less than or equal to 1012.

• Is 1012 a perfect square?

No 1012 is not a perfect square.

• What are factors of 1012?

Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012.

• Which is greatest factor of 1012?

The greatest factor of 1012 is 506.

• What is the sum of all factors of 1012?

The sum of all factors of 1012 is 2016.

• What are multiples of 1012?

First five multiples of 1012 are 2024, 3036, 4048, 5060.

• What is the greatest prime factors of 1012?

The greatest prime factor of 1012 is 23.

• What are six multiples of 1012?

First five multiples of 1012 are 2024, 3036, 4048, 5060, 6072, 7084.

• What is prime factorization of 1012?

Prime factorization of 1012 is 2 x 2 x 11 x 23.

• Is 1012 a whole number?

Yes 1012 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1012? Help her in writing all the factors.

Positive factors are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012.
Negative factors are -1, -2, -4, -11, -22, -23, -44, -46, -92, -253, -506, -1012.

Can you help Sammy find out the product of the odd factors of 1012?

Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012.
Odd factors of 1012 are 1, 11, 23, 253.
Hence product of odd factors of 1012 is; 1 x 11 x 23 x 253 = 64009.

Joey wants to write all the prime factors of 1012 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 1012 are 2, 2, 11, 23.
So in exponential form it can be written as 22 x 11 x 23.

How many factors are there for 1012?

Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012.
So there are in total 12 factors.

Kevin has been asked to write 11 factor(s) of 1012. Can you predict the answer?

11 factor(s) of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506.

Sammy is puzzled while calculating the prime factors of 1012. Can you help him find them?

Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012.
Prime factors of 1012 are 2, 2, 11, 23

What is prime factorization of 1012?

Prime factorization of 1012 is 2 x 2 x 11 x 23 = 22 x 11 x 23.