[Maths Class Notes] on Factors of 24 Pdf for Exam

Factors of 24 are all the Integers, both positive and negative whole Numbers which you can evenly divide by the Number 24. 24, when divided by a Factor of 24 would lead you to another Factor of 24. You can also say that the Factors of 24 are the Numbers that give you the result as the Number 24 when you multiply Numbers together in a pair. You can also say that if a Number divides the Number 24 and gives you a zero remainder, it is called a Factor of 24. Given below are the Factors of 24 and their pair Factors.

Factor Pairs of 24

The Factor pairs of 24 are all the possible combinations of two Factors which when multiplied together equal to 24. There are both positive and negative Factor pairs of 24. Given below are all the positive Factor pairs of 24 that you should know about.

Likewise, the Factors of 24 include negative Numbers as well.  Minus times minus equals to plus, therefore, you can convert the positive Factor pair by simply inserting a minus sign in front of every Factor and get all the possible negative Factor pairs of 24.

Prime Factorization of 24

Since 24 is a composite Number, you can find its Prime Factors by following the simple division as follows.

1. First, divide 24 with the smallest Prime Factor which is the Number 2.Doing so, you get, 24 ÷ 2 = 12

2. Again, divide the Number 12 by 2 since it is a composite Number.Doing so you get, 12 ÷ 2 = 6

3. Dividing further, you get 6 ÷ 2 = 3

4. Now, if you try to divide 3 by 2, you would get a fraction Number that cannot be a Factor.

5. Hence, you need to proceed to the next Prime Number which is 3. Dividing the Number 3 by itself, you get, 3 ÷ 3 = 1

Now, you have received 1 at the end and you cannot proceed further with the division method. 

Therefore, the Prime Factorization of 24 is written as 2 × 2 × 2 × 3.

You can also write it as 23 × 3, wherein, 2 and 3 are the Prime Numbers.

Prime Factorization is a way by which Factors of any Number can be found out. Prime Factorization is taught in schools from the fifth standard. It forms the foundation of mathematics. In order to ace the exam, students are advised to study this concept in-depth as this will help them in higher studies. 

The expert mathematics teachers at have curated all the important Factors of various Numbers. This article mainly deals with Factors of 24.

Factors of 24 can be defined as the Integers that divide the Number uniformly. So that there is no remainder left. The total Number of Factors of 24 are eight, they are 12346 8,12 and 24. As 24 is a composite Number it has Factors more than two.

There are pair Factors of 24 these are the Numbers which when multiplied together give the result 24. Its pair Factors are – (1,24) (2,12) (3,8) (4,6).

Factor Pairs of 24-

Factor pairs are Numbers which when multiplied together give 24 as a result. The Factors are both positive and negative. Given below are the positive Factor pairs of 24 – 

1 x 24 = 24

2 x 12 = 24

3 x 8 = 24

4 x 6 = 24

6 x 4 = 24

8 x 3 = 24

12 x 2 = 24

24 x 1 = 24

Factors of 24 = 1,2,3,4,6,8,12, and 24

The Factors of 24 include negative Numbers as well. By simply inserting a minus sign in front of every positive Factor, students can get all the possible negative Factor pairs of 24. They are as follows – 

-1 x -24 = 24

-2 x -12 = 24

-3 x -8 =24

-4 x -6 = 24

-6 x -4 = 24

-8 x -3 = 24

-12 x -2 = 24

-24 x -1 = 24

Prime Factorization of 24 

The Prime Factors of 24 can be found easily as 24 is a composite Number.

Step 1 is to divide 24 with the smallest Prime Factor which is 2=

24 ÷ 2 = 12

Step 2 is to divide the Number 12 by 2 since it is a composite Number =

12 ÷ 2 = 6

Step 3 is to divide the Number further by 2 =

6 ÷ 2 = 3

Now, 3 cannot be divided b2 as it will lead us to a fraction Number which cannot be a Factor,

Therefore, to proceed, step 4 will be to divide 3 by itself =

3 ÷ 3 = 1

1 cannot be divided further, therefore the Prime Factors of 24 are = 2 x 2 x 2 x 3 = 23 x 3< /span>, where 2 and 3 are Prime Factors.