# Prime Factors of 9261

Prime Factors of 9261 are 3, 3, 3, 7, 7, and 7

#### How to find prime factors of a number

 1.   Prime Factorization of 9261 by Division Method 2.   Prime Factorization of 9261 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 9261 by Division Method

To find the primefactors of 9261 using the division method, follow these steps:

• Step 1. Start dividing 9261 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 9261, which is 3. Divide 9261 by 3 to obtain the quotient (3087).
9261 ÷ 3 = 3087
• Step 3. Repeat step 1 with the obtained quotient (3087).
3087 ÷ 3 = 1029
1029 ÷ 3 = 343
343 ÷ 7 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So, the prime factorization of 9261 is, 9261 = 3 x 3 x 3 x 7 x 7 x 7.

#### Steps to find Prime Factors of 9261 by Factor Tree Method

We can follow the same procedure using the factor tree of 9261 as shown below:

So, the prime factorization of 9261 is, 9261 = 3 x 3 x 3 x 7 x 7 x 7.

#### 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 9261 are 3 x 3 x 3 x 7 x 7 x 7.

#### 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 9261 but not a prime factor of 9261.

• Which is the smallest prime factor of 9261?

Smallest prime factor of 9261 is 3.

• Is 9261 a perfect square?

No 9261 is not a perfect square.

• What is the prime factorization of 9261?

Prime factorization of 9261 is 3 x 3 x 3 x 7 x 7 x 7.

• What are the factors of 9261?

Factors of 9261 are 1 , 3 , 7 , 9 , 21 , 27 , 49 , 63 , 147 , 189 , 343 , 441 , 1029 , 1323 , 3087 , 9261.

• What is prime factorization of 9261 in exponential form?

Prime factorization of 9261 in exponential form is 33 x 73.

• Is 9261 a prime number or a composite number?

9261 is a composite number.

• Is 9261 a prime number?

false, 9261 is not a prime number.

• How to find prime factorization of 9261 easily?

To find prime factorization of 9261 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 9261?

The largest prime factor of 9261 is 7.