# Factors of 266

Factors of 266 are 1, 2, 7, 14, 19, 38, 133, and 266

#### How to find factors of a number

 1.   Find factors of 266 using Division Method 2.   Find factors of 266 using Prime Factorization 3.   Find factors of 266 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 266

• Divide 266 by 1: 266 ÷ 1 : Remainder = 0
• Divide 266 by 2: 266 ÷ 2 : Remainder = 0
• Divide 266 by 7: 266 ÷ 7 : Remainder = 0
• Divide 266 by 14: 266 ÷ 14 : Remainder = 0
• Divide 266 by 19: 266 ÷ 19 : Remainder = 0
• Divide 266 by 38: 266 ÷ 38 : Remainder = 0
• Divide 266 by 133: 266 ÷ 133 : Remainder = 0
• Divide 266 by 266: 266 ÷ 266 : Remainder = 0

Hence, Factors of 266 are 1, 2, 7, 14, 19, 38, 133, and 266

#### 2. Steps to find factors of 266 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 266 using the division method, follow these steps:

• Step 1. Start dividing 266 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 266, which is 2. Divide 266 by 2 to obtain the quotient (133).
266 ÷ 2 = 133
• Step 3. Repeat step 1 with the obtained quotient (133).
133 ÷ 7 = 19
19 ÷ 19 = 1

So, the prime factorization of 266 is, 266 = 2 x 7 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 266 as shown below:

So, the prime factorization of 266 is, 266 = 2 x 7 x 19.

#### 3. Find factors of 266 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 266 would be the two numbers which, when multiplied, give 266 as the result.

The following table represents the calculation of factors of 266 in pairs:

Factor Pair Pair Factorization
1 and 266 1 x 266 = 266
2 and 133 2 x 133 = 266
7 and 38 7 x 38 = 266
14 and 19 14 x 19 = 266

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 266. They are called negative pair factors.

Hence, the negative pairs of 266 would be ( -1 , -266 ) , ( -2 , -133 ) , ( -7 , -38 ) and ( -14 , -19 ) .

#### 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

• Each number is a factor of itself. Eg. 266 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, 7, 14, 19, 38, 133, 266 are exact divisors of 266.
• 1 is a factor of every number. Eg. 1 is a factor of 266.
• Every number is a factor of zero (0), since 266 x 0 = 0.

• What are the pair factors of 266?

Pair factors of 266 are (1,266), (2,133), (7,38), (14,19).

• What are five multiples of 266?

First five multiples of 266 are 532, 798, 1064, 1330, 1596.

• What two numbers make 266?

Two numbers that make 266 are 2 and 133.

• What is the sum of all factors of 266?

The sum of all factors of 266 is 480.

• What are factors of -266?

Factors of -266 are -1, -2, -7, -14, -19, -38, -133, -266.

• What are factors of 266?

Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266.

• Is 266 a perfect square?

No 266 is not a perfect square.

• Which is the smallest prime factor of 266?

Smallest prime factor of 266 is 2.

• Which is greatest factor of 266?

The greatest factor of 266 is 133.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 266?

Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266.
Odd factors of 266 are 1, 7, 19, 133.
Hence product of odd factors of 266 is; 1 x 7 x 19 x 133 = 17689.

Joey wants to write all the prime factors of 266 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 266 are 2, 7, 19.
So in exponential form it can be written as 2 x 7 x 19.

How many factors are there for 266?

Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 266. Can you predict the answer?

7 factor(s) of 266 are 1, 2, 7, 14, 19, 38, 133.

Sammy is puzzled while calculating the prime factors of 266. Can you help him find them?

Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266.
Prime factors of 266 are 2, 7, 19

What is prime factorization of 266?

Prime factorization of 266 is 2 x 7 x 19 = 2 x 7 x 19.

Can you help Rubel to find out the product of the even factors of 266?

Factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266.
Even factors of 266 are 2, 14, 38, 266.
Hence, product of even factors of 266 is; 2 x 14 x 38 x 266 = 283024.