Prime Factors of 21164

Steps to find Prime Factors of 21164 by Division Method

To find the primefactors of 21164 using the division method, follow these steps:

• Step 1. Start dividing 21164 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 21164, which is 2. Divide 21164 by 2 to obtain the quotient (10582).
  21164 ÷ 2 = 10582
• Step 3. Repeat step 1 with the obtained quotient (10582).
  10582 ÷ 2 = 5291
  5291 ÷ 11 = 481
  481 ÷ 13 = 37
  37 ÷ 37 = 1

So, the prime factorization of 21164 is, 21164 = 2 x 2 x 11 x 13 x 37.

Steps to find Prime Factors of 21164 by Factor Tree Method

We can follow the same procedure using the factor tree of 21164 as shown below:

So, the prime factorization of 21164 is, 21164 = 2 x 2 x 11 x 13 x 37.

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 21164 are 2 x 2 x 11 x 13 x 37.

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 21164 but not a prime factor of 21164.

Frequently Asked Questions

• Which is the smallest prime factor of 21164?

  Smallest prime factor of 21164 is 2.

• What is the prime factorization of 21164?

  Prime factorization of 21164 is 2 x 2 x 11 x 13 x 37.

• What are the factors of 21164?

  Factors of 21164 are 1 , 2 , 4 , 11 , 13 , 22 , 26 , 37 , 44 , 52 , 74 , 143 , 148 , 286 , 407 , 481 , 572 , 814 , 962 , 1628 , 1924 , 5291 , 10582 , 21164.

• Is 21164 a prime number or a composite number?

  21164 is a composite number.

• Is 21164 a prime number?

  false, 21164 is not a prime number.

• Which is the largest prime factors of 21164?

  The largest prime factor of 21164 is 37.

• What is the sum of all prime factors of 21164?

  Prime factors of 21164 are 2 x 2 x 11 x 13 x 37. Therefore, their sum is 65.

• What numbers are the prime factors of 21164?

  Prime factors of 21164 are 2 , 2 , 11 , 13 , 37.

• What is the sum of all odd prime factors of 21164?

  Prime factors of 21164 are 2 , 2 , 11 , 13 , 37, out of which 11 , 13 , 37 are odd numbers. So, the sum of odd prime factors of 21164 is 11 + 13 + 37 = 61.