Prime Factors of 774

Steps to find Prime Factors of 774 by Division Method

To find the primefactors of 774 using the division method, follow these steps:

• Step 1. Start dividing 774 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 774, which is 2. Divide 774 by 2 to obtain the quotient (387).
  774 ÷ 2 = 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 774 is, 774 = 2 x 3 x 3 x 43.

Steps to find Prime Factors of 774 by Factor Tree Method

We can follow the same procedure using the factor tree of 774 as shown below:

So, the prime factorization of 774 is, 774 = 2 x 3 x 3 x 43.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 774 are 2 x 3 x 3 x 43.

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 774 but not a prime factor of 774.

Frequently Asked Questions

• Which is the smallest prime factor of 774?

  Smallest prime factor of 774 is 2.

• Is 774 a perfect square?

  No 774 is not a perfect square.

• What is the prime factorization of 774?

  Prime factorization of 774 is 2 x 3 x 3 x 43.

• What are the factors of 774?

  Factors of 774 are 1 , 2 , 3 , 6 , 9 , 18 , 43 , 86 , 129 , 258 , 387 , 774.

• What is the product of all prime factors of 774?

  Prime factors of 774 are 2 x 3 x 3 x 43. Therefore, their product is 774.

• What numbers are the prime factors of 774?

  Prime factors of 774 are 2 , 3 , 3 , 43.

• What is the sum of all odd prime factors of 774?

  Prime factors of 774 are 2 , 3 , 3 , 43, out of which 3 , 3 , 43 are odd numbers. So, the sum of odd prime factors of 774 is 3 + 3 + 43 = 49.

• Is there any even prime factor of 774?

  Yes there is a even prime factor of 774.

• What is the product of all odd prime factors of 774?

  Prime factors of 774 are 2 , 3 , 3 , 43, out of which 3 , 3 , 43 are odd numbers. So, the product of odd prime factors of 774 is 3 x 3 x 43 = 387.