Prime Factors of 612

Steps to find Prime Factors of 612 by Division Method

To find the primefactors of 612 using the division method, follow these steps:

• Step 1. Start dividing 612 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 612, which is 2. Divide 612 by 2 to obtain the quotient (306).
  612 ÷ 2 = 306
• Step 3. Repeat step 1 with the obtained quotient (306).
  306 ÷ 2 = 153
  153 ÷ 3 = 51
  51 ÷ 3 = 17
  17 ÷ 17 = 1

So, the prime factorization of 612 is, 612 = 2 x 2 x 3 x 3 x 17.

Steps to find Prime Factors of 612 by Factor Tree Method

We can follow the same procedure using the factor tree of 612 as shown below:

So, the prime factorization of 612 is, 612 = 2 x 2 x 3 x 3 x 17.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 612 are 2 x 2 x 3 x 3 x 17.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 612 but not a prime factor of 612.

Frequently Asked Questions

• Which is the smallest prime factor of 612?

  Smallest prime factor of 612 is 2.

• What is the prime factorization of 612?

  Prime factorization of 612 is 2 x 2 x 3 x 3 x 17.

• What are the factors of 612?

  Factors of 612 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 17 , 18 , 34 , 36 , 51 , 68 , 102 , 153 , 204 , 306 , 612.

• Is 612 a prime number or a composite number?

  612 is a composite number.

• Is 612 a prime number?

  false, 612 is not a prime number.

• Which is the largest prime factors of 612?

  The largest prime factor of 612 is 17.

• What is the sum of all prime factors of 612?

  Prime factors of 612 are 2 x 2 x 3 x 3 x 17. Therefore, their sum is 27.

• What numbers are the prime factors of 612?

  Prime factors of 612 are 2 , 2 , 3 , 3 , 17.

• What is the sum of all odd prime factors of 612?

  Prime factors of 612 are 2 , 2 , 3 , 3 , 17, out of which 3 , 3 , 17 are odd numbers. So, the sum of odd prime factors of 612 is 3 + 3 + 17 = 23.