Factors of 261 in pair

Steps to find factors of 261 in pair

• 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.
• Pair the factors so that their product is 261, and read off the answer!

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