Prime Factors of 7744

Steps to find Prime Factors of 7744 by Division Method

To find the primefactors of 7744 using the division method, follow these steps:

• Step 1. Start dividing 7744 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 7744, which is 2. Divide 7744 by 2 to obtain the quotient (3872).
  7744 ÷ 2 = 3872
• Step 3. Repeat step 1 with the obtained quotient (3872).
  3872 ÷ 2 = 1936
  1936 ÷ 2 = 968
  968 ÷ 2 = 484
  484 ÷ 2 = 242
  242 ÷ 2 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 7744 is, 7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11.

Steps to find Prime Factors of 7744 by Factor Tree Method

We can follow the same procedure using the factor tree of 7744 as shown below:

So, the prime factorization of 7744 is, 7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11.

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 7744 are 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11.

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 7744 but not a prime factor of 7744.

Frequently Asked Questions

• Which is the smallest prime factor of 7744?

  Smallest prime factor of 7744 is 2.

• Is 7744 a perfect square?

  Yes 7744 is a perfect square.

• What is the prime factorization of 7744?

  Prime factorization of 7744 is 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11.

• What is prime factorization of 7744 in exponential form?

  Prime factorization of 7744 in exponential form is 2⁶ x 11².

• Is 7744 a prime number or a composite number?

  7744 is a composite number.

• Which is the largest prime factors of 7744?

  The largest prime factor of 7744 is 11.

• What is the product of all prime factors of 7744?

  Prime factors of 7744 are 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11. Therefore, their product is 7744.

• What numbers are the prime factors of 7744?

  Prime factors of 7744 are 2 , 2 , 2 , 2 , 2 , 2 , 11 , 11.

• Is there any even prime factor of 7744?

  Yes there is a even prime factor of 7744.