Prime Factors of 1161

Steps to find Prime Factors of 1161 by Division Method

To find the primefactors of 1161 using the division method, follow these steps:

• Step 1. Start dividing 1161 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 1161, which is 3. Divide 1161 by 3 to obtain the quotient (387).
  1161 ÷ 3 = 387
• Step 3. Repeat step 1 with the obtained quotient (387).
  387 ÷ 3 = 129
  129 ÷ 3 = 43
  43 ÷ 43 = 1

So, the prime factorization of 1161 is, 1161 = 3 x 3 x 3 x 43.

Steps to find Prime Factors of 1161 by Factor Tree Method

We can follow the same procedure using the factor tree of 1161 as shown below:

So, the prime factorization of 1161 is, 1161 = 3 x 3 x 3 x 43.

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 1161 are 3 x 3 x 3 x 43.

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 1161 but not a prime factor of 1161.

Frequently Asked Questions

• Which is the smallest prime factor of 1161?

  Smallest prime factor of 1161 is 3.

• What is the prime factorization of 1161?

  Prime factorization of 1161 is 3 x 3 x 3 x 43.

• What is prime factorization of 1161 in exponential form?

  Prime factorization of 1161 in exponential form is 3³ x 43.

• Is 1161 a prime number or a composite number?

  1161 is a composite number.

• Is 1161 a prime number?

  false, 1161 is not a prime number.

• How to find prime factorization of 1161 easily?

  To find prime factorization of 1161 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 1161?

  The largest prime factor of 1161 is 43.

• What is the product of all prime factors of 1161?

  Prime factors of 1161 are 3 x 3 x 3 x 43. Therefore, their product is 1161.

• What is the sum of all odd prime factors of 1161?

  Prime factors of 1161 are 3 , 3 , 3 , 43, out of which 3 , 3 , 3 , 43 are odd numbers. So, the sum of odd prime factors of 1161 is 3 + 3 + 3 + 43 = 52.