Prime Factors of 664

Steps to find Prime Factors of 664 by Division Method

To find the primefactors of 664 using the division method, follow these steps:

• Step 1. Start dividing 664 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 664, which is 2. Divide 664 by 2 to obtain the quotient (332).
  664 ÷ 2 = 332
• Step 3. Repeat step 1 with the obtained quotient (332).
  332 ÷ 2 = 166
  166 ÷ 2 = 83
  83 ÷ 83 = 1

So, the prime factorization of 664 is, 664 = 2 x 2 x 2 x 83.

Steps to find Prime Factors of 664 by Factor Tree Method

We can follow the same procedure using the factor tree of 664 as shown below:

So, the prime factorization of 664 is, 664 = 2 x 2 x 2 x 83.

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 664 are 2 x 2 x 2 x 83.

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 664 but not a prime factor of 664.

Frequently Asked Questions

• Which is the smallest prime factor of 664?

  Smallest prime factor of 664 is 2.

• Is 664 a perfect square?

  No 664 is not a perfect square.

• What is the prime factorization of 664?

  Prime factorization of 664 is 2 x 2 x 2 x 83.

• What is prime factorization of 664 in exponential form?

  Prime factorization of 664 in exponential form is 2³ x 83.

• Is 664 a prime number or a composite number?

  664 is a composite number.

• Which is the largest prime factors of 664?

  The largest prime factor of 664 is 83.

• What is the product of all prime factors of 664?

  Prime factors of 664 are 2 x 2 x 2 x 83. Therefore, their product is 664.

• What numbers are the prime factors of 664?

  Prime factors of 664 are 2 , 2 , 2 , 83.

• Is there any even prime factor of 664?

  Yes there is a even prime factor of 664.