Prime Factors of 944

Steps to find Prime Factors of 944 by Division Method

To find the primefactors of 944 using the division method, follow these steps:

• Step 1. Start dividing 944 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 944, which is 2. Divide 944 by 2 to obtain the quotient (472).
  944 ÷ 2 = 472
• Step 3. Repeat step 1 with the obtained quotient (472).
  472 ÷ 2 = 236
  236 ÷ 2 = 118
  118 ÷ 2 = 59
  59 ÷ 59 = 1

So, the prime factorization of 944 is, 944 = 2 x 2 x 2 x 2 x 59.

Steps to find Prime Factors of 944 by Factor Tree Method

We can follow the same procedure using the factor tree of 944 as shown below:

So, the prime factorization of 944 is, 944 = 2 x 2 x 2 x 2 x 59.

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 944 are 2 x 2 x 2 x 2 x 59.

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 944 but not a prime factor of 944.

Frequently Asked Questions

• Which is the smallest prime factor of 944?

  Smallest prime factor of 944 is 2.

• Is 944 a perfect square?

  No 944 is not a perfect square.

• What is the prime factorization of 944?

  Prime factorization of 944 is 2 x 2 x 2 x 2 x 59.

• What is prime factorization of 944 in exponential form?

  Prime factorization of 944 in exponential form is 2⁴ x 59.

• Is 944 a prime number or a composite number?

  944 is a composite number.

• Which is the largest prime factors of 944?

  The largest prime factor of 944 is 59.

• What is the product of all prime factors of 944?

  Prime factors of 944 are 2 x 2 x 2 x 2 x 59. Therefore, their product is 944.

• What numbers are the prime factors of 944?

  Prime factors of 944 are 2 , 2 , 2 , 2 , 59.

• Is there any even prime factor of 944?

  Yes there is a even prime factor of 944.