Prime Factors of 6624

Steps to find Prime Factors of 6624 by Division Method

To find the primefactors of 6624 using the division method, follow these steps:

• Step 1. Start dividing 6624 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 6624, which is 2. Divide 6624 by 2 to obtain the quotient (3312).
  6624 ÷ 2 = 3312
• Step 3. Repeat step 1 with the obtained quotient (3312).
  3312 ÷ 2 = 1656
  1656 ÷ 2 = 828
  828 ÷ 2 = 414
  414 ÷ 2 = 207
  207 ÷ 3 = 69
  69 ÷ 3 = 23
  23 ÷ 23 = 1

So, the prime factorization of 6624 is, 6624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23.

Steps to find Prime Factors of 6624 by Factor Tree Method

We can follow the same procedure using the factor tree of 6624 as shown below:

So, the prime factorization of 6624 is, 6624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23.

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 6624 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 6624 but not a prime factor of 6624.

Frequently Asked Questions

• Which is the smallest prime factor of 6624?

  Smallest prime factor of 6624 is 2.

• Is 6624 a perfect square?

  No 6624 is not a perfect square.

• What is the prime factorization of 6624?

  Prime factorization of 6624 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23.

• What is prime factorization of 6624 in exponential form?

  Prime factorization of 6624 in exponential form is 2⁵ x 3² x 23.

• Is 6624 a prime number or a composite number?

  6624 is a composite number.

• Which is the largest prime factors of 6624?

  The largest prime factor of 6624 is 23.

• What is the product of all prime factors of 6624?

  Prime factors of 6624 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 23. Therefore, their product is 6624.

• What numbers are the prime factors of 6624?

  Prime factors of 6624 are 2 , 2 , 2 , 2 , 2 , 3 , 3 , 23.

• Is there any even prime factor of 6624?

  Yes there is a even prime factor of 6624.