Prime Factors of 252

Steps to find Prime Factors of 252 by Division Method

To find the primefactors of 252 using the division method, follow these steps:

• Step 1. Start dividing 252 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 252, which is 2. Divide 252 by 2 to obtain the quotient (126).
  252 ÷ 2 = 126
• Step 3. Repeat step 1 with the obtained quotient (126).
  126 ÷ 2 = 63
  63 ÷ 3 = 21
  21 ÷ 3 = 7
  7 ÷ 7 = 1

So, the prime factorization of 252 is, 252 = 2 x 2 x 3 x 3 x 7.

Steps to find Prime Factors of 252 by Factor Tree Method

We can follow the same procedure using the factor tree of 252 as shown below:

So, the prime factorization of 252 is, 252 = 2 x 2 x 3 x 3 x 7.

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 252 are 2 x 2 x 3 x 3 x 7.

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 252 but not a prime factor of 252.

Frequently Asked Questions

• Which is the smallest prime factor of 252?

  Smallest prime factor of 252 is 2.

• What is the prime factorization of 252?

  Prime factorization of 252 is 2 x 2 x 3 x 3 x 7.

• What are the factors of 252?

  Factors of 252 are 1 , 2 , 3 , 4 , 6 , 7 , 9 , 12 , 14 , 18 , 21 , 28 , 36 , 42 , 63 , 84 , 126 , 252.

• Is 252 a prime number or a composite number?

  252 is a composite number.

• Is 252 a prime number?

  false, 252 is not a prime number.

• Which is the largest prime factors of 252?

  The largest prime factor of 252 is 7.

• What is the sum of all prime factors of 252?

  Prime factors of 252 are 2 x 2 x 3 x 3 x 7. Therefore, their sum is 17.

• What numbers are the prime factors of 252?

  Prime factors of 252 are 2 , 2 , 3 , 3 , 7.

• What is the sum of all odd prime factors of 252?

  Prime factors of 252 are 2 , 2 , 3 , 3 , 7, out of which 3 , 3 , 7 are odd numbers. So, the sum of odd prime factors of 252 is 3 + 3 + 7 = 13.