Prime Factors of 16244

Steps to find Prime Factors of 16244 by Division Method

To find the primefactors of 16244 using the division method, follow these steps:

• Step 1. Start dividing 16244 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 16244, which is 2. Divide 16244 by 2 to obtain the quotient (8122).
  16244 ÷ 2 = 8122
• Step 3. Repeat step 1 with the obtained quotient (8122).
  8122 ÷ 2 = 4061
  4061 ÷ 31 = 131
  131 ÷ 131 = 1

So, the prime factorization of 16244 is, 16244 = 2 x 2 x 31 x 131.

Steps to find Prime Factors of 16244 by Factor Tree Method

We can follow the same procedure using the factor tree of 16244 as shown below:

So, the prime factorization of 16244 is, 16244 = 2 x 2 x 31 x 131.

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 16244 are 2 x 2 x 31 x 131.

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 16244 but not a prime factor of 16244.

Frequently Asked Questions

• Which is the smallest prime factor of 16244?

  Smallest prime factor of 16244 is 2.

• What is the prime factorization of 16244?

  Prime factorization of 16244 is 2 x 2 x 31 x 131.

• What are the factors of 16244?

  Factors of 16244 are 1 , 2 , 4 , 31 , 62 , 124 , 131 , 262 , 524 , 4061 , 8122 , 16244.

• Is 16244 a prime number or a composite number?

  16244 is a composite number.

• Is 16244 a prime number?

  false, 16244 is not a prime number.

• Which is the largest prime factors of 16244?

  The largest prime factor of 16244 is 131.

• What is the sum of all prime factors of 16244?

  Prime factors of 16244 are 2 x 2 x 31 x 131. Therefore, their sum is 166.

• What numbers are the prime factors of 16244?

  Prime factors of 16244 are 2 , 2 , 31 , 131.

• What is the sum of all odd prime factors of 16244?

  Prime factors of 16244 are 2 , 2 , 31 , 131, out of which 31 , 131 are odd numbers. So, the sum of odd prime factors of 16244 is 31 + 131 = 162.