Prime Factors of 9999

Steps to find Prime Factors of 9999 by Division Method

To find the primefactors of 9999 using the division method, follow these steps:

• Step 1. Start dividing 9999 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 9999, which is 3. Divide 9999 by 3 to obtain the quotient (3333).
  9999 ÷ 3 = 3333
• Step 3. Repeat step 1 with the obtained quotient (3333).
  3333 ÷ 3 = 1111
  1111 ÷ 11 = 101
  101 ÷ 101 = 1

So, the prime factorization of 9999 is, 9999 = 3 x 3 x 11 x 101.

Steps to find Prime Factors of 9999 by Factor Tree Method

We can follow the same procedure using the factor tree of 9999 as shown below:

So, the prime factorization of 9999 is, 9999 = 3 x 3 x 11 x 101.

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 9999 are 3 x 3 x 11 x 101.

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 9999 but not a prime factor of 9999.

Frequently Asked Questions

• Which is the smallest prime factor of 9999?

  Smallest prime factor of 9999 is 3.

• What are the factors of 9999?

  Factors of 9999 are 1 , 3 , 9 , 11 , 33 , 99 , 101 , 303 , 909 , 1111 , 3333 , 9999.

• What is prime factorization of 9999 in exponential form?

  Prime factorization of 9999 in exponential form is 3² x 11 x 101.

• Is 9999 a prime number or a composite number?

  9999 is a composite number.

• Is 9999 a prime number?

  false, 9999 is not a prime number.

• What is the sum of all prime factors of 9999?

  Prime factors of 9999 are 3 x 3 x 11 x 101. Therefore, their sum is 118.

• What is the product of all prime factors of 9999?

  Prime factors of 9999 are 3 x 3 x 11 x 101. Therefore, their product is 9999.

• What numbers are the prime factors of 9999?

  Prime factors of 9999 are 3 , 3 , 11 , 101.

• What is the sum of all odd prime factors of 9999?

  Prime factors of 9999 are 3 , 3 , 11 , 101, out of which 3 , 3 , 11 , 101 are odd numbers. So, the sum of odd prime factors of 9999 is 3 + 3 + 11 + 101 = 118.