Prime Factors of 1452

Steps to find Prime Factors of 1452 by Division Method

To find the primefactors of 1452 using the division method, follow these steps:

• Step 1. Start dividing 1452 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 1452, which is 2. Divide 1452 by 2 to obtain the quotient (726).
  1452 ÷ 2 = 726
• Step 3. Repeat step 1 with the obtained quotient (726).
  726 ÷ 2 = 363
  363 ÷ 3 = 121
  121 ÷ 11 = 11
  11 ÷ 11 = 1

So, the prime factorization of 1452 is, 1452 = 2 x 2 x 3 x 11 x 11.

Steps to find Prime Factors of 1452 by Factor Tree Method

We can follow the same procedure using the factor tree of 1452 as shown below:

So, the prime factorization of 1452 is, 1452 = 2 x 2 x 3 x 11 x 11.

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 1452 are 2 x 2 x 3 x 11 x 11.

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 1452 but not a prime factor of 1452.

Frequently Asked Questions

• Which is the smallest prime factor of 1452?

  Smallest prime factor of 1452 is 2.

• What is the prime factorization of 1452?

  Prime factorization of 1452 is 2 x 2 x 3 x 11 x 11.

• What are the factors of 1452?

  Factors of 1452 are 1 , 2 , 3 , 4 , 6 , 11 , 12 , 22 , 33 , 44 , 66 , 121 , 132 , 242 , 363 , 484 , 726 , 1452.

• Is 1452 a prime number or a composite number?

  1452 is a composite number.

• Is 1452 a prime number?

  false, 1452 is not a prime number.

• Which is the largest prime factors of 1452?

  The largest prime factor of 1452 is 11.

• What is the sum of all prime factors of 1452?

  Prime factors of 1452 are 2 x 2 x 3 x 11 x 11. Therefore, their sum is 29.

• What numbers are the prime factors of 1452?

  Prime factors of 1452 are 2 , 2 , 3 , 11 , 11.

• What is the sum of all odd prime factors of 1452?

  Prime factors of 1452 are 2 , 2 , 3 , 11 , 11, out of which 3 , 11 , 11 are odd numbers. So, the sum of odd prime factors of 1452 is 3 + 11 + 11 = 25.