Prime Factors of 9102

Steps to find Prime Factors of 9102 by Division Method

To find the primefactors of 9102 using the division method, follow these steps:

• Step 1. Start dividing 9102 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 9102, which is 2. Divide 9102 by 2 to obtain the quotient (4551).
  9102 ÷ 2 = 4551
• Step 3. Repeat step 1 with the obtained quotient (4551).
  4551 ÷ 3 = 1517
  1517 ÷ 37 = 41
  41 ÷ 41 = 1

So, the prime factorization of 9102 is, 9102 = 2 x 3 x 37 x 41.

Steps to find Prime Factors of 9102 by Factor Tree Method

We can follow the same procedure using the factor tree of 9102 as shown below:

So, the prime factorization of 9102 is, 9102 = 2 x 3 x 37 x 41.

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 9102 are 2 x 3 x 37 x 41.

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 9102 but not a prime factor of 9102.

Frequently Asked Questions

• Which is the smallest prime factor of 9102?

  Smallest prime factor of 9102 is 2.

• Is 9102 a perfect square?

  No 9102 is not a perfect square.

• What is the prime factorization of 9102?

  Prime factorization of 9102 is 2 x 3 x 37 x 41.

• What are the factors of 9102?

  Factors of 9102 are 1 , 2 , 3 , 6 , 37 , 41 , 74 , 82 , 111 , 123 , 222 , 246 , 1517 , 3034 , 4551 , 9102.

• What is the product of all prime factors of 9102?

  Prime factors of 9102 are 2 x 3 x 37 x 41. Therefore, their product is 9102.

• What numbers are the prime factors of 9102?

  Prime factors of 9102 are 2 , 3 , 37 , 41.

• What is the sum of all odd prime factors of 9102?

  Prime factors of 9102 are 2 , 3 , 37 , 41, out of which 3 , 37 , 41 are odd numbers. So, the sum of odd prime factors of 9102 is 3 + 37 + 41 = 81.

• Is there any even prime factor of 9102?

  Yes there is a even prime factor of 9102.

• What is the product of all odd prime factors of 9102?

  Prime factors of 9102 are 2 , 3 , 37 , 41, out of which 3 , 37 , 41 are odd numbers. So, the product of odd prime factors of 9102 is 3 x 37 x 41 = 4551.