Prime Factors of 918

Steps to find Prime Factors of 918 by Division Method

To find the primefactors of 918 using the division method, follow these steps:

• Step 1. Start dividing 918 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 918, which is 2. Divide 918 by 2 to obtain the quotient (459).
  918 ÷ 2 = 459
• Step 3. Repeat step 1 with the obtained quotient (459).
  459 ÷ 3 = 153
  153 ÷ 3 = 51
  51 ÷ 3 = 17
  17 ÷ 17 = 1

So, the prime factorization of 918 is, 918 = 2 x 3 x 3 x 3 x 17.

Steps to find Prime Factors of 918 by Factor Tree Method

We can follow the same procedure using the factor tree of 918 as shown below:

So, the prime factorization of 918 is, 918 = 2 x 3 x 3 x 3 x 17.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 918 are 2 x 3 x 3 x 3 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 918 but not a prime factor of 918.

Frequently Asked Questions

• Which is the smallest prime factor of 918?

  Smallest prime factor of 918 is 2.

• Is 918 a perfect square?

  No 918 is not a perfect square.

• What is the prime factorization of 918?

  Prime factorization of 918 is 2 x 3 x 3 x 3 x 17.

• What are the factors of 918?

  Factors of 918 are 1 , 2 , 3 , 6 , 9 , 17 , 18 , 27 , 34 , 51 , 54 , 102 , 153 , 306 , 459 , 918.

• What is the product of all prime factors of 918?

  Prime factors of 918 are 2 x 3 x 3 x 3 x 17. Therefore, their product is 918.

• What numbers are the prime factors of 918?

  Prime factors of 918 are 2 , 3 , 3 , 3 , 17.

• What is the sum of all odd prime factors of 918?

  Prime factors of 918 are 2 , 3 , 3 , 3 , 17, out of which 3 , 3 , 3 , 17 are odd numbers. So, the sum of odd prime factors of 918 is 3 + 3 + 3 + 17 = 26.

• Is there any even prime factor of 918?

  Yes there is a even prime factor of 918.

• What is the product of all odd prime factors of 918?

  Prime factors of 918 are 2 , 3 , 3 , 3 , 17, out of which 3 , 3 , 3 , 17 are odd numbers. So, the product of odd prime factors of 918 is 3 x 3 x 3 x 17 = 459.