Prime Factors of 261

Steps to find Prime Factors of 261 by Division Method

To find the primefactors of 261 using the division method, follow these steps:

• Step 1. Start dividing 261 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 261, which is 3. Divide 261 by 3 to obtain the quotient (87).
  261 ÷ 3 = 87
• Step 3. Repeat step 1 with the obtained quotient (87).
  87 ÷ 3 = 29
  29 ÷ 29 = 1

So, the prime factorization of 261 is, 261 = 3 x 3 x 29.

Steps to find Prime Factors of 261 by Factor Tree Method

We can follow the same procedure using the factor tree of 261 as shown below:

So, the prime factorization of 261 is, 261 = 3 x 3 x 29.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 261 are 3 x 3 x 29.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 261 but not a prime factor of 261.

Frequently Asked Questions

• Which is the smallest prime factor of 261?

  Smallest prime factor of 261 is 3.

• Is 261 a perfect square?

  No 261 is not a perfect square.

• What is the prime factorization of 261?

  Prime factorization of 261 is 3 x 3 x 29.

• What are the factors of 261?

  Factors of 261 are 1 , 3 , 9 , 29 , 87 , 261.

• What is prime factorization of 261 in exponential form?

  Prime factorization of 261 in exponential form is 3² x 29.

• Is 261 a prime number or a composite number?

  261 is a composite number.

• Is 261 a prime number?

  false, 261 is not a prime number.

• How to find prime factorization of 261 easily?

  To find prime factorization of 261 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 261?

  The largest prime factor of 261 is 29.