Prime Factors of 1326

Steps to find Prime Factors of 1326 by Division Method

To find the primefactors of 1326 using the division method, follow these steps:

• Step 1. Start dividing 1326 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 1326, which is 2. Divide 1326 by 2 to obtain the quotient (663).
  1326 ÷ 2 = 663
• Step 3. Repeat step 1 with the obtained quotient (663).
  663 ÷ 3 = 221
  221 ÷ 13 = 17
  17 ÷ 17 = 1

So, the prime factorization of 1326 is, 1326 = 2 x 3 x 13 x 17.

Steps to find Prime Factors of 1326 by Factor Tree Method

We can follow the same procedure using the factor tree of 1326 as shown below:

So, the prime factorization of 1326 is, 1326 = 2 x 3 x 13 x 17.

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 1326 are 2 x 3 x 13 x 17.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 1326 but not a prime factor of 1326.

Frequently Asked Questions

• Which is the smallest prime factor of 1326?

  Smallest prime factor of 1326 is 2.

• Is 1326 a perfect square?

  No 1326 is not a perfect square.

• What is the prime factorization of 1326?

  Prime factorization of 1326 is 2 x 3 x 13 x 17.

• What are the factors of 1326?

  Factors of 1326 are 1 , 2 , 3 , 6 , 13 , 17 , 26 , 34 , 39 , 51 , 78 , 102 , 221 , 442 , 663 , 1326.

• What is the product of all prime factors of 1326?

  Prime factors of 1326 are 2 x 3 x 13 x 17. Therefore, their product is 1326.

• What numbers are the prime factors of 1326?

  Prime factors of 1326 are 2 , 3 , 13 , 17.

• What is the sum of all odd prime factors of 1326?

  Prime factors of 1326 are 2 , 3 , 13 , 17, out of which 3 , 13 , 17 are odd numbers. So, the sum of odd prime factors of 1326 is 3 + 13 + 17 = 33.

• Is there any even prime factor of 1326?

  Yes there is a even prime factor of 1326.

• What is the product of all odd prime factors of 1326?

  Prime factors of 1326 are 2 , 3 , 13 , 17, out of which 3 , 13 , 17 are odd numbers. So, the product of odd prime factors of 1326 is 3 x 13 x 17 = 663.