Prime Factors of 9118

Steps to find Prime Factors of 9118 by Division Method

To find the primefactors of 9118 using the division method, follow these steps:

• Step 1. Start dividing 9118 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 9118, which is 2. Divide 9118 by 2 to obtain the quotient (4559).
  9118 ÷ 2 = 4559
• Step 3. Repeat step 1 with the obtained quotient (4559).
  4559 ÷ 47 = 97
  97 ÷ 97 = 1

So, the prime factorization of 9118 is, 9118 = 2 x 47 x 97.

Steps to find Prime Factors of 9118 by Factor Tree Method

We can follow the same procedure using the factor tree of 9118 as shown below:

So, the prime factorization of 9118 is, 9118 = 2 x 47 x 97.

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 9118 are 2 x 47 x 97.

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 9118 but not a prime factor of 9118.

Frequently Asked Questions

• Which is the smallest prime factor of 9118?

  Smallest prime factor of 9118 is 2.

• Is 9118 a perfect square?

  No 9118 is not a perfect square.

• What is the prime factorization of 9118?

  Prime factorization of 9118 is 2 x 47 x 97.

• What are the factors of 9118?

  Factors of 9118 are 1 , 2 , 47 , 94 , 97 , 194 , 4559 , 9118.

• What is the product of all prime factors of 9118?

  Prime factors of 9118 are 2 x 47 x 97. Therefore, their product is 9118.

• What numbers are the prime factors of 9118?

  Prime factors of 9118 are 2 , 47 , 97.

• What is the sum of all odd prime factors of 9118?

  Prime factors of 9118 are 2 , 47 , 97, out of which 47 , 97 are odd numbers. So, the sum of odd prime factors of 9118 is 47 + 97 = 144.

• Is there any even prime factor of 9118?

  Yes there is a even prime factor of 9118.

• What is the product of all odd prime factors of 9118?

  Prime factors of 9118 are 2 , 47 , 97, out of which 47 , 97 are odd numbers. So, the product of odd prime factors of 9118 is 47 x 97 = 4559.