Steps to find Prime Factors of 132 by Division Method

To find the primefactors of 132 using the division method, follow these steps:

  • Step 1. Start dividing 132 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 132, which is 2. Divide 132 by 2 to obtain the quotient (66).
    132 ÷ 2 = 66
  • Step 3. Repeat step 1 with the obtained quotient (66).
    66 ÷ 2 = 33
    33 ÷ 3 = 11
    11 ÷ 11 = 1

So, the prime factorization of 132 is, 132 = 2 x 2 x 3 x 11.

Steps to find Prime Factors of 132 by Factor Tree Method

We can follow the same procedure using the factor tree of 132 as shown below:

So, the prime factorization of 132 is, 132 = 2 x 2 x 3 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 132 are 2 x 2 x 3 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 132 but not a prime factor of 132.

Frequently Asked Questions

  • Which is the smallest prime factor of 132?

    Smallest prime factor of 132 is 2.

  • What is the prime factorization of 132?

    Prime factorization of 132 is 2 x 2 x 3 x 11.

  • What are the factors of 132?

    Factors of 132 are 1 , 2 , 3 , 4 , 6 , 11 , 12 , 22 , 33 , 44 , 66 , 132.

  • Is 132 a prime number or a composite number?

    132 is a composite number.

  • Is 132 a prime number?

    false, 132 is not a prime number.

  • Which is the largest prime factors of 132?

    The largest prime factor of 132 is 11.

  • What is the sum of all prime factors of 132?

    Prime factors of 132 are 2 x 2 x 3 x 11. Therefore, their sum is 18.

  • What numbers are the prime factors of 132?

    Prime factors of 132 are 2 , 2 , 3 , 11.

  • What is the sum of all odd prime factors of 132?

    Prime factors of 132 are 2 , 2 , 3 , 11, out of which 3 , 11 are odd numbers. So, the sum of odd prime factors of 132 is 3 + 11 = 14.