# Factors of 262

Factors of 262 are 1, 2, 131, and 262

#### How to find factors of a number

 1.   Find factors of 262 using Division Method 2.   Find factors of 262 using Prime Factorization 3.   Find factors of 262 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 262

• Divide 262 by 1: 262 ÷ 1 : Remainder = 0
• Divide 262 by 2: 262 ÷ 2 : Remainder = 0
• Divide 262 by 131: 262 ÷ 131 : Remainder = 0
• Divide 262 by 262: 262 ÷ 262 : Remainder = 0

Hence, Factors of 262 are 1, 2, 131, and 262

#### 2. Steps to find factors of 262 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 262 using the division method, follow these steps:

• Step 1. Start dividing 262 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 262, which is 2. Divide 262 by 2 to obtain the quotient (131).
262 ÷ 2 = 131
• Step 3. Repeat step 1 with the obtained quotient (131).
131 ÷ 131 = 1

So, the prime factorization of 262 is, 262 = 2 x 131.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 262 as shown below:

So, the prime factorization of 262 is, 262 = 2 x 131.

#### 3. Find factors of 262 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 262 would be the two numbers which, when multiplied, give 262 as the result.

The following table represents the calculation of factors of 262 in pairs:

Factor Pair Pair Factorization
1 and 262 1 x 262 = 262
2 and 131 2 x 131 = 262

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 262. They are called negative pair factors.

Hence, the negative pairs of 262 would be ( -1 , -262 ) , ( -2 , -131 ) .

#### 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. 262 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, 131, 262 are exact divisors of 262.
• 1 is a factor of every number. Eg. 1 is a factor of 262.
• Every number is a factor of zero (0), since 262 x 0 = 0.

• What are the prime factors of 262?

The factors of 262 are 1, 2, 131, 262.
Prime factors of 262 are 2, 131.

• What is the sum of all factors of 262?

The sum of all factors of 262 is 396.

• What are the pair factors of 262?

Pair factors of 262 are (1,262), (2,131).

• What two numbers make 262?

Two numbers that make 262 are 2 and 131.

• What are multiples of 262?

First five multiples of 262 are 524, 786, 1048, 1310.

• Is 262 a perfect square?

No 262 is not a perfect square.

• Which is greatest factor of 262?

The greatest factor of 262 is 131.

• How do you factors of 262?

Factors of 262 are 1, 2, 131, 262.

• What are five multiples of 262?

First five multiples of 262 are 524, 786, 1048, 1310, 1572.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 262?

Factors of 262 are 1, 2, 131, 262.
Even factors of 262 are 2, 262.
Hence, product of even factors of 262 is; 2 x 262 = 524.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 262? Help her in writing all the factors.

Positive factors are 1, 2, 131, 262.
Negative factors are -1, -2, -131, -262.

How many factors are there for 262?

Factors of 262 are 1, 2, 131, 262.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 262. Can you help him find them?

Factors of 262 are 1, 2, 131, 262.
Prime factors of 262 are 2, 131

Joey wants to write all the prime factors of 262 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 262 are 2, 131.
So in exponential form it can be written as 2 x 131.

What is prime factorization of 262?

Prime factorization of 262 is 2 x 131 = 2 x 131.

Can you help Rubel to find out the product of the even factors of 262?

Factors of 262 are 1, 2, 131, 262.
Even factors of 262 are 2, 262.
Hence, product of even factors of 262 is; 2 x 262 = 524.