# Factors of 261 in pair

Factors of 261 in pair are (1, 261) , (3, 87) and (9, 29)

#### How to find factors of a number in pair

 1.   Steps to find factors of 261 in pair 2.   What is factors of a number in pair? 3.   What are Factors? 4.   Frequently Asked Questions 5.   Examples of factors in pair

### Example: Find factors of 261 in pair

Factor Pair Pair Factorization
1 and 261 1 x 261 = 261
3 and 87 3 x 87 = 261
9 and 29 9 x 29 = 261

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 261. They are called negative pair factors.

Hence, the negative pairs of 261 would be ( -1 , -261 ) .

#### Introduction to factor pairs

Factor pair in mathematics is defined as all factors of a given number which when written in pair and multiplied gives the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 261 are 1 , 3 , 9 , 29 , 87 , 261. So, factors of 261 in pair are (1,261), (3,87), (9,29).

#### 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 factor of a number is an exact divisor of that number, example 1, 3, 9, 29, 87, 261 are exact divisors of 261.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 261 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 261.

#### Steps to find Factors of 261

• Step 1. Find all the numbers that would divide 261 without leaving any remainder. Starting with the number 1 upto 130 (half of 261). The number 1 and the number itself are always factors of the given number.
261 ÷ 1 : Remainder = 0
261 ÷ 3 : Remainder = 0
261 ÷ 9 : Remainder = 0
261 ÷ 29 : Remainder = 0
261 ÷ 87 : Remainder = 0
261 ÷ 261 : Remainder = 0

Hence, Factors of 261 are 1, 3, 9, 29, 87, and 261

#### Frequently Asked Questions

• Is 261 a composite number?

Yes 261 is a composite number.

• Is 261 a perfect square?

No 261 is not a perfect square.

• Write all odd factors of 261?

The factors of 261 are 1, 3, 9, 29, 87, 261.
Odd factors of 261 are 1 , 3 , 9 , 29 , 87 , 261.

• What is the mean of all prime factors of 261?

Factors of 261 are 1 , 3 , 9 , 29 , 87 , 261. Prime factors of 261 are 3 , 3 , 29. Therefore mean of prime factors of 261 is (3 + 3 + 29) / 3 = 11.67.

• What do you mean by proper divisors?

A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

#### Examples of Factors

Can you help Rubel in arranging 261 blocks in order to form a rectangle in all possible ways? For arranging 261 blocks in order to form a rectangle in all possible ways we need to find factors of 261 in pair.

Factors of 261 are 1, 3, 9, 29, 87, 261. So, factors of 261 in pair are (1,261), (3,87), (9,29).

Ariel has been asked to write all factor pairs of 261 but she is finding it difficult. Can you help her find out?

Factors of 261 are 1, 3, 9, 29, 87, 261. So, factors of 261 in pair are (1,261), (3,87), (9,29).

What are the pair factors of 261?

Factors of 261 are 1, 3, 9, 29, 87, 261. Hence, the factors of 261 in pair are (1,261), (3,87), (9,29).

Can you help Sammy list the factors of 261 and also find the factor pairs?

Factors of 261 are 1, 3, 9, 29, 87, 261.
Factors of 261 in pair are (1,261), (3,87), (9,29).

Help Diji in finding factors of 261 by Prime Factorization method and then sorting factors of 261 in pairs.

Prime factorization of 261 is 3 x 3 x 29. Factors of 261 in pair can be written as (1,261), (3,87), (9,29).

Write the smallest prime factor of 261.

Smallest prime factor of 261 is 3.

Write the largest prime factor of 261.

Largest prime factor of 261 is 29.

Diji wants to write all the negative factors of 261. Can you help Diji in doing the same?

Negative factors of 261 are -1, -3, -9, -29, -87, -261.

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