Prime Factors of 9438

Steps to find Prime Factors of 9438 by Division Method

To find the primefactors of 9438 using the division method, follow these steps:

• Step 1. Start dividing 9438 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 9438, which is 2. Divide 9438 by 2 to obtain the quotient (4719).
  9438 ÷ 2 = 4719
• Step 3. Repeat step 1 with the obtained quotient (4719).
  4719 ÷ 3 = 1573
  1573 ÷ 11 = 143
  143 ÷ 11 = 13
  13 ÷ 13 = 1

So, the prime factorization of 9438 is, 9438 = 2 x 3 x 11 x 11 x 13.

Steps to find Prime Factors of 9438 by Factor Tree Method

We can follow the same procedure using the factor tree of 9438 as shown below:

So, the prime factorization of 9438 is, 9438 = 2 x 3 x 11 x 11 x 13.

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 9438 are 2 x 3 x 11 x 11 x 13.

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 9438 but not a prime factor of 9438.

Frequently Asked Questions

• Which is the smallest prime factor of 9438?

  Smallest prime factor of 9438 is 2.

• Is 9438 a perfect square?

  No 9438 is not a perfect square.

• What is the prime factorization of 9438?

  Prime factorization of 9438 is 2 x 3 x 11 x 11 x 13.

• What are the factors of 9438?

  Factors of 9438 are 1 , 2 , 3 , 6 , 11 , 13 , 22 , 26 , 33 , 39 , 66 , 78 , 121 , 143 , 242 , 286 , 363 , 429 , 726 , 858 , 1573 , 3146 , 4719 , 9438.

• What is the product of all prime factors of 9438?

  Prime factors of 9438 are 2 x 3 x 11 x 11 x 13. Therefore, their product is 9438.

• What numbers are the prime factors of 9438?

  Prime factors of 9438 are 2 , 3 , 11 , 11 , 13.

• What is the sum of all odd prime factors of 9438?

  Prime factors of 9438 are 2 , 3 , 11 , 11 , 13, out of which 3 , 11 , 11 , 13 are odd numbers. So, the sum of odd prime factors of 9438 is 3 + 11 + 11 + 13 = 38.

• Is there any even prime factor of 9438?

  Yes there is a even prime factor of 9438.

• What is the product of all odd prime factors of 9438?

  Prime factors of 9438 are 2 , 3 , 11 , 11 , 13, out of which 3 , 11 , 11 , 13 are odd numbers. So, the product of odd prime factors of 9438 is 3 x 11 x 11 x 13 = 4719.