Prime Factors of 3366

Steps to find Prime Factors of 3366 by Division Method

To find the primefactors of 3366 using the division method, follow these steps:

• Step 1. Start dividing 3366 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 3366, which is 2. Divide 3366 by 2 to obtain the quotient (1683).
  3366 ÷ 2 = 1683
• Step 3. Repeat step 1 with the obtained quotient (1683).
  1683 ÷ 3 = 561
  561 ÷ 3 = 187
  187 ÷ 11 = 17
  17 ÷ 17 = 1

So, the prime factorization of 3366 is, 3366 = 2 x 3 x 3 x 11 x 17.

Steps to find Prime Factors of 3366 by Factor Tree Method

We can follow the same procedure using the factor tree of 3366 as shown below:

So, the prime factorization of 3366 is, 3366 = 2 x 3 x 3 x 11 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 3366 are 2 x 3 x 3 x 11 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 3366 but not a prime factor of 3366.

Frequently Asked Questions

• Which is the smallest prime factor of 3366?

  Smallest prime factor of 3366 is 2.

• Is 3366 a perfect square?

  No 3366 is not a perfect square.

• What is the prime factorization of 3366?

  Prime factorization of 3366 is 2 x 3 x 3 x 11 x 17.

• What are the factors of 3366?

  Factors of 3366 are 1 , 2 , 3 , 6 , 9 , 11 , 17 , 18 , 22 , 33 , 34 , 51 , 66 , 99 , 102 , 153 , 187 , 198 , 306 , 374 , 561 , 1122 , 1683 , 3366.

• What is the product of all prime factors of 3366?

  Prime factors of 3366 are 2 x 3 x 3 x 11 x 17. Therefore, their product is 3366.

• What numbers are the prime factors of 3366?

  Prime factors of 3366 are 2 , 3 , 3 , 11 , 17.

• What is the sum of all odd prime factors of 3366?

  Prime factors of 3366 are 2 , 3 , 3 , 11 , 17, out of which 3 , 3 , 11 , 17 are odd numbers. So, the sum of odd prime factors of 3366 is 3 + 3 + 11 + 17 = 34.

• Is there any even prime factor of 3366?

  Yes there is a even prime factor of 3366.

• What is the product of all odd prime factors of 3366?

  Prime factors of 3366 are 2 , 3 , 3 , 11 , 17, out of which 3 , 3 , 11 , 17 are odd numbers. So, the product of odd prime factors of 3366 is 3 x 3 x 11 x 17 = 1683.