The Factors of 33 are the numbers which get multiplied and produce the result as 33. For example, multiplying 3 and 6, we get 18, i.e. 3 × 6 = 18 such that 3 and 6 are the factors of 18. In the same way, we can find the factors of the number 33. In this article, you will know the factors of 33, how to find the factors of a number and prime factors of 33 with detailed steps.
What are the Factors of 33?
The number 33 is a composite number and hence, it has more than two factors, that means it has factors other than 1 and 33.
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Factors of 33 |
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1, 3, 11, and 33 |
Also, we know that the factors of 33 are the exact divisors of that number. However, we can find the factors for any given number in two ways, namely division method and factor pair method.
How to Find the Factors of 33?
Go through the steps given below to learn how to find the factors of 33.
Step 1: First, write the number 33 in your notebook.
Step 2: Find the two numbers, which on multiplication gives 33, suppose 3 and 11, such as 3 × 11 = 33.
Step 3: We know that 3 is a prime number which has only two factors, i.e. 1 and the number itself. So, we cannot factorize it further.
3 = 1 × 3
Step 4: Also, 11 is a prime number and cannot be factored further.
11 = 1 × 11
Step 5: Therefore, the factorization of 33 gives us 1 × 3 × 11.
The unique numbers which are obtained from the above expression are: 1, 3, 11, and 33
Factor of 33 in Pairs
The factors of any number can be both positive and negative. To find the pair factors of 33, multiply the 2 numbers in a pair to have the original number as 33. Such numbers are as follows:
| Positive pair factors | Negative pair factors |
| 1 × 33 = 33; (1, 33) | (-1) × (-33) = 33; (-1, -33) |
| 3 × 11 = 33; (3, 11) | (-3) × (-11) = 33; (-3, -11) |
| 11 × 3 = 33; (11, 3) | (-11) × (-3) = 33; (-11, -3) |
| 33 × 1 = 33; (33, 1) | (-33) × (-1) = 33; (-33, -1) |
Thus, the positive pair factors of 33 are (1, 33), (3, 11), (11, 3) and (33, 1).
The negative pair factors of 33 are (-1, -33), (-3, -11), (-11, -3) and (-33, -1).
A few important facts about the factors of 33 are listed below:
- The number of factors of 33 is 4.
- The sum of all factors of 33 is equal to 48.
- The product of all factors of 33 is equal to the square of 33.
- As 33 is an odd number, all the factors of 33 are also odd numbers.
How to calculate Prime Factors of 33?
By prime factorization method, we can write the prime factors of 33 as given below.
The first step is to divide the number 33 with the smallest prime number, i.e. 2.
33 ÷ 2 = 16.5
As we know, the factors cannot be a fraction, therefore, 2 is not the prime factor for 33.
Now, proceed to the next prime numbers, i.e. 3, 5, 7 and so on.
33 ÷ 3 = 11, 3 and 11 are prime numbers, so we cannot proceed with the division method.
Thus, the prime factorisation of 33 can be expressed as 3 × 11.
Video Lesson on Prime Factors
Get Factors of more Numbers Here
| Factors of 30 | Factors of 32 | Factors of 35 |
| Factors of 36 | Factors of 40 | Factors of 42 |
| Factors of 45 | Factors of 48 | Factors of 49 |
| Factors of 50 | Factors of 54 | Factors of 56 |
Visit byjus.com to learn more about factors and multiples, and download BYJU’S – The Learning App to learn maths concepts in an engaging way.
Frequently Asked Questions on Factors of 33
What are the factors of 33?
The factors of 33 are 1, 3, 11 and 33. These can be written as:
1 × 33 = 33 or 33 × 1 = 33
3 × 11 = 33 or 11 × 3 = 33
What are multiples of 33?
The multiples of 33 include 33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396, etc.
What are the common factors of 24 and 33?
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 33 are 1, 3, 11 and 33.
The common factors of 24 and 33 are 1 and 3.
What are 2 factors of 33?
Two factors of 33 other than 1 and 33 are 3 and 11.
How do you create factors?
We know that factors are the numbers which get multiplied and produce the result as the original number. Thus, we can find the factors of any number by writing it as the product of a possible set of numbers.
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