Prime Factors of 999

Steps to find Prime Factors of 999 by Division Method

To find the primefactors of 999 using the division method, follow these steps:

• Step 1. Start dividing 999 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 999, which is 3. Divide 999 by 3 to obtain the quotient (333).
  999 ÷ 3 = 333
• Step 3. Repeat step 1 with the obtained quotient (333).
  333 ÷ 3 = 111
  111 ÷ 3 = 37
  37 ÷ 37 = 1

So, the prime factorization of 999 is, 999 = 3 x 3 x 3 x 37.

Steps to find Prime Factors of 999 by Factor Tree Method

We can follow the same procedure using the factor tree of 999 as shown below:

So, the prime factorization of 999 is, 999 = 3 x 3 x 3 x 37.

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 999 are 3 x 3 x 3 x 37.

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 999 but not a prime factor of 999.

Frequently Asked Questions

• Which is the smallest prime factor of 999?

  Smallest prime factor of 999 is 3.

• What are the factors of 999?

  Factors of 999 are 1 , 3 , 9 , 27 , 37 , 111 , 333 , 999.

• What is prime factorization of 999 in exponential form?

  Prime factorization of 999 in exponential form is 3³ x 37.

• Is 999 a prime number or a composite number?

  999 is a composite number.

• Is 999 a prime number?

  false, 999 is not a prime number.

• What is the sum of all prime factors of 999?

  Prime factors of 999 are 3 x 3 x 3 x 37. Therefore, their sum is 46.

• What is the product of all prime factors of 999?

  Prime factors of 999 are 3 x 3 x 3 x 37. Therefore, their product is 999.

• What numbers are the prime factors of 999?

  Prime factors of 999 are 3 , 3 , 3 , 37.

• What is the sum of all odd prime factors of 999?

  Prime factors of 999 are 3 , 3 , 3 , 37, out of which 3 , 3 , 3 , 37 are odd numbers. So, the sum of odd prime factors of 999 is 3 + 3 + 3 + 37 = 46.