Prime Factors of 21252

Steps to find Prime Factors of 21252 by Division Method

To find the primefactors of 21252 using the division method, follow these steps:

• Step 1. Start dividing 21252 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 21252, which is 2. Divide 21252 by 2 to obtain the quotient (10626).
  21252 ÷ 2 = 10626
• Step 3. Repeat step 1 with the obtained quotient (10626).
  10626 ÷ 2 = 5313
  5313 ÷ 3 = 1771
  1771 ÷ 7 = 253
  253 ÷ 11 = 23
  23 ÷ 23 = 1

So, the prime factorization of 21252 is, 21252 = 2 x 2 x 3 x 7 x 11 x 23.

Steps to find Prime Factors of 21252 by Factor Tree Method

We can follow the same procedure using the factor tree of 21252 as shown below:

So, the prime factorization of 21252 is, 21252 = 2 x 2 x 3 x 7 x 11 x 23.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 21252 are 2 x 2 x 3 x 7 x 11 x 23.

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 21252 but not a prime factor of 21252.

Frequently Asked Questions

• Which is the smallest prime factor of 21252?

  Smallest prime factor of 21252 is 2.

• What is the prime factorization of 21252?

  Prime factorization of 21252 is 2 x 2 x 3 x 7 x 11 x 23.

• What are the factors of 21252?

  Factors of 21252 are 1 , 2 , 3 , 4 , 6 , 7 , 11 , 12 , 14 , 21 , 22 , 23 , 28 , 33 , 42 , 44 , 46 , 66 , 69 , 77 , 84 , 92 , 132 , 138 , 154 , 161 , 231 , 253 , 276 , 308 , 322 , 462 , 483 , 506 , 644 , 759 , 924 , 966 , 1012 , 1518 , 1771 , 1932 , 3036 , 3542 , 5313 , 7084 , 10626 , 21252.

• Is 21252 a prime number or a composite number?

  21252 is a composite number.

• Is 21252 a prime number?

  false, 21252 is not a prime number.

• Which is the largest prime factors of 21252?

  The largest prime factor of 21252 is 23.

• What is the sum of all prime factors of 21252?

  Prime factors of 21252 are 2 x 2 x 3 x 7 x 11 x 23. Therefore, their sum is 48.

• What numbers are the prime factors of 21252?

  Prime factors of 21252 are 2 , 2 , 3 , 7 , 11 , 23.

• What is the sum of all odd prime factors of 21252?

  Prime factors of 21252 are 2 , 2 , 3 , 7 , 11 , 23, out of which 3 , 7 , 11 , 23 are odd numbers. So, the sum of odd prime factors of 21252 is 3 + 7 + 11 + 23 = 44.