Prime Factors of 1244

Steps to find Prime Factors of 1244 by Division Method

To find the primefactors of 1244 using the division method, follow these steps:

• Step 1. Start dividing 1244 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 1244, which is 2. Divide 1244 by 2 to obtain the quotient (622).
  1244 ÷ 2 = 622
• Step 3. Repeat step 1 with the obtained quotient (622).
  622 ÷ 2 = 311
  311 ÷ 311 = 1

So, the prime factorization of 1244 is, 1244 = 2 x 2 x 311.

Steps to find Prime Factors of 1244 by Factor Tree Method

We can follow the same procedure using the factor tree of 1244 as shown below:

So, the prime factorization of 1244 is, 1244 = 2 x 2 x 311.

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 1244 are 2 x 2 x 311.

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 1244 but not a prime factor of 1244.

Frequently Asked Questions

• Which is the smallest prime factor of 1244?

  Smallest prime factor of 1244 is 2.

• What is the prime factorization of 1244?

  Prime factorization of 1244 is 2 x 2 x 311.

• What are the factors of 1244?

  Factors of 1244 are 1 , 2 , 4 , 311 , 622 , 1244.

• Is 1244 a prime number or a composite number?

  1244 is a composite number.

• Is 1244 a prime number?

  false, 1244 is not a prime number.

• Which is the largest prime factors of 1244?

  The largest prime factor of 1244 is 311.

• What is the sum of all prime factors of 1244?

  Prime factors of 1244 are 2 x 2 x 311. Therefore, their sum is 315.

• What numbers are the prime factors of 1244?

  Prime factors of 1244 are 2 , 2 , 311.

• What is the sum of all odd prime factors of 1244?

  Prime factors of 1244 are 2 , 2 , 311, out of which 311 are odd numbers. So, the sum of odd prime factors of 1244 is 311 = 311.