Prime Factors of 1664

Steps to find Prime Factors of 1664 by Division Method

To find the primefactors of 1664 using the division method, follow these steps:

• Step 1. Start dividing 1664 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 1664, which is 2. Divide 1664 by 2 to obtain the quotient (832).
  1664 ÷ 2 = 832
• Step 3. Repeat step 1 with the obtained quotient (832).
  832 ÷ 2 = 416
  416 ÷ 2 = 208
  208 ÷ 2 = 104
  104 ÷ 2 = 52
  52 ÷ 2 = 26
  26 ÷ 2 = 13
  13 ÷ 13 = 1

So, the prime factorization of 1664 is, 1664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.

Steps to find Prime Factors of 1664 by Factor Tree Method

We can follow the same procedure using the factor tree of 1664 as shown below:

So, the prime factorization of 1664 is, 1664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.

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 1664 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.

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 1664 but not a prime factor of 1664.

Frequently Asked Questions

• Which is the smallest prime factor of 1664?

  Smallest prime factor of 1664 is 2.

• Is 1664 a perfect square?

  No 1664 is not a perfect square.

• What is the prime factorization of 1664?

  Prime factorization of 1664 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13.

• What is prime factorization of 1664 in exponential form?

  Prime factorization of 1664 in exponential form is 2⁷ x 13.

• Is 1664 a prime number or a composite number?

  1664 is a composite number.

• Which is the largest prime factors of 1664?

  The largest prime factor of 1664 is 13.

• What is the product of all prime factors of 1664?

  Prime factors of 1664 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13. Therefore, their product is 1664.

• What numbers are the prime factors of 1664?

  Prime factors of 1664 are 2 , 2 , 2 , 2 , 2 , 2 , 2 , 13.

• Is there any even prime factor of 1664?

  Yes there is a even prime factor of 1664.