Factors of 33

2. Steps to find factors of 33 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 33 using the division method, follow these steps:

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

So, the prime factorization of 33 is, 33 = 3 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 33 as shown below:

So, the prime factorization of 33 is, 33 = 3 x 11.

3. Find factors of 33 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 33 would be the two numbers which, when multiplied, give 33 as the result.

The following table represents the calculation of factors of 33 in pairs:

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 33. They are called negative pair factors.

Hence, the negative pairs of 33 would be ( -1 , -33 ) , ( -3 , -11 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 11, 33 are exact divisors of 33.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 33 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 33.

Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -33 )?

  Factors of -33 are -1, -3, -11, -33.

• What is the sum of all factors of 33?

  The sum of all factors of 33 is 48.

• What is prime factorization of 33?

  Prime factorization of 33 is 3 x 11.

• What are the pair factors of 33?

  Pair factors of 33 are (1,33), (3,11).

• What are six multiples of 33?

  First five multiples of 33 are 66, 99, 132, 165, 198, 231.

• Is 33 a whole number?

  Yes 33 is a whole number.

• Which is the smallest prime factor of 33?

  Smallest prime factor of 33 is 3.

• What are five multiples of 33?

  First five multiples of 33 are 66, 99, 132, 165, 198.

• Write all factors of 33?

  Factors of 33 are 1, 3, 11, 33.

Examples of Factors