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A factor is a number that goes into another number exactly. For example, 10 is a factor of 100 because 100 can be divided by 10. Factors of 24 refer to the numbers that can exactly divide 24 leaving the remainder 0. The best way to find the factors of any number is through division. Using this method you will be able to easily find the Prime Factorisation/Factors of 24 in pairs as well.
In this article, we will provide you with all the details on 24 factors along with some sample questions that will aid you in your preparation.
The numbers by which 24 is divisible are its factors. So without any delay let us provide you with factors of 24.
Division Method
In this method, you must check if 24 is divisible by a number or not starting. If the division leaves the remainder 0 then it is a factor else not. We have listed the factors below you can try the division method by yourself.
Factor Pairs of 24
There might be instances where a question may be framed asking the factor pairs. If such a situation arrives then don’t think that it is out of the syllabus or things like that just remember the division method and you will get the factor pairs.
| 24 = 1 x 24 24 = 2 x 12 24 = 3 x 8 24 = 4 x 6 |
Prime Factorisation
Here we break down a number into a set of Prime Numbers, which when multiplied back gives the original number.
| Steps | Lowest Prime Factor With Which The Number Is Divisible | Quotient |
| 1st Step: 24 ÷ 2 | 2 | 12 |
| 2nd Step: 12 ÷ 2 | 2 | 6 |
| 3rd Step: 6 ÷ 2 | 2 | 3 (Cannot be broken down further as 3 is a Prime Number) |
We can write 24 as,
24 = 2 x 12 => 2 x 4 x 3 => 2 x 2 x 2 x 3 => 23 x 3.
Check out the questions that might be asked in your exams.
| Q. What are the factors of 24? Sol. 24 has a total of 8 factors and they are 1, 2, 3, 4, 6, 8, 12 and 24. Q. How to find the factors of a number? Sol. There are 2 ways of finding the factor of a number and these 1. Division Method 2. Prime Factorisation. Q. What are the factors of 24 in pairs? Sol. The method to find the factor pairs have been explained on this page. For 24 the factor pairs are (1,24), (2,12) (3,8) and (4,6). Q. What are common factors between 12 and 24? Sol. Factors that are common between 12 and 24 are 1,2,3,4,6 and 12. Q. What are the factors of 24 that add up to 4? Sol. Factors of 24 that add up to 4 are 1 & 3 as 1 + 3 = 4. Q. What are factors of 24 that add up to 11? Sol. Factors of 24 that add up to 11 are 2, 3, 6 & 8 as 2 + 3 + 6 = 11 or 8 + 3 = 11. Q. Find the factors of 24 and 18? Sol. Factors of 18 and 24 are: 18 = 1, 2, 3, 6, 9, 18 24 = 1, 2, 3, 4, 6, 8, 12, 24. |
After providing you with all the useful information on the factors of 24, we have reached the end of our article. We hope the details on this page helps you in your preparation and if you still have any questions you can use the comments section at the bottom and we will provide you with an update.
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