Prime Factors of 99

Steps to find Prime Factors of 99 by Division Method

To find the primefactors of 99 using the division method, follow these steps:

• Step 1. Start dividing 99 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 99, which is 3. Divide 99 by 3 to obtain the quotient (33).
  99 ÷ 3 = 33
• Step 3. Repeat step 1 with the obtained quotient (33).
  33 ÷ 3 = 11
  11 ÷ 11 = 1

So, the prime factorization of 99 is, 99 = 3 x 3 x 11.

Steps to find Prime Factors of 99 by Factor Tree Method

We can follow the same procedure using the factor tree of 99 as shown below:

So, the prime factorization of 99 is, 99 = 3 x 3 x 11.

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 99 are 3 x 3 x 11.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 99 but not a prime factor of 99.

Frequently Asked Questions

• Which is the smallest prime factor of 99?

  Smallest prime factor of 99 is 3.

• Is 99 a perfect square?

  No 99 is not a perfect square.

• What is the prime factorization of 99?

  Prime factorization of 99 is 3 x 3 x 11.

• What is prime factorization of 99 in exponential form?

  Prime factorization of 99 in exponential form is 3² x 11.

• Is 99 a prime number?

  false, 99 is not a prime number.

• Which is the largest prime factors of 99?

  The largest prime factor of 99 is 11.

• What is the product of all prime factors of 99?

  Prime factors of 99 are 3 x 3 x 11. Therefore, their product is 99.

• What is the sum of all odd prime factors of 99?

  Prime factors of 99 are 3 , 3 , 11, out of which 3 , 3 , 11 are odd numbers. So, the sum of odd prime factors of 99 is 3 + 3 + 11 = 17.

• What is the product of all odd prime factors of 99?

  Prime factors of 99 are 3 , 3 , 11, out of which 3 , 3 , 11 are odd numbers. So, the product of odd prime factors of 99 is 3 x 3 x 11 = 99.