Factors Of 24

The factors of 24 are the numbers, which gives the result as 24 when multiplied together in pair of two. Factor pairs of the number 24 are the whole numbers which could be positive and negative but not a fraction or decimal number. For example, the factor pair of 11 is (1,11) and (-1,-11). When we multiply the pair of negative factors, the resulted number is the original number, such as multiplying -1 and -11, we get the number 11. Thus, we can consider both positive and negative factor pairs of 11. To find the factors of a number, 24, we will use the factorization method.

In this method, we consider 1 and 24 as factors of 24 and continue with finding the other pair of multiples of 24 which results in the original number. To understand in a better way, keep reading the article below to find the factors of 24 in pairs. Also, we will find here the prime factors of 24 with the help of the division method.

Pair Factors Of 24

We can find the pair factors of 24, by multiplying two numbers in a pair to get the original number as 24, such as;

If 1 × 24 = 24, then (1, 24) are pair factors of 24. Similarly, let us find other pair factors of 24.

2 × 12 = 24, (2, 12) are pair factors of 24

3 × 8 = 24, (3, 8) are pair factors of 24

4 × 6 = 24, (4, 6) are pair factors of 24

Therefore, the positive pair factors of 24 are (1, 24), (2, 12), (3, 8) and (4, 6).

Now if we have to find the negative pair factors of 24, then,

-1 × -24 = 24, then (-1, -24) are pair factors of 24

-2 × -12 = 24, (-2, -12) are pair factors of 24

-3 × -8 = 24, (-3, -8) are pair factors of 24

-4 × -6 = 24, (-4, -6) are pair factors of 24

Therefore, the negative pair factors of 24 are (-1, -24), (-2, -12), (-3, -8) and (-4, -6).

How to find the factors of 24?

Let us learn the steps to find factors of 24.

  • First, write the number 24 in your notebook.
  • Find the two numbers, which on multiplication gives 24, say 2 and 12, such as 2 × 12 = 24.
  • We know 2 is a prime number which has only two factors, i.e., 1 and the number itself. So, we cannot further factorize it.
  • 2 = 2 × 1

  • But 12 is not a prime number but a composite number and can be further factorized.
  • 12 = 3 × 2 × 2 × 1

  • Therefore, the factorization of 24 gives us, 24 = 1 × 2 × 2 × 2 × 3.
  • Write down all the unique numbers which we can obtain from 1 × 2 × 2 × 2 × 3.

Factors Of 24

1, 2, 3, 4, 6, 8, 12 and 24

Prime Factors of 24

The number 24 is a composite number. Now let us find the prime factors of 24.

  • The first step is to divide the number 24 with the smallest prime factor, i.e. 2.
  • 24 ÷ 2 = 12

    Again, divide 12 by 2.

    12 ÷ 2 = 6

    6 ÷ 2 = 3

Now, if we divide 3 by 2 we get a fraction number, which cannot be a factor.

  • Now, proceed to the next prime numbers, i.e. 3.
  • 3 ÷ 3 = 1

  • We have received 1 at the end and further, we cannot proceed with the division method. So, the prime factors of 24 are 2 × 2 × 2 × 3 or 23 × 3, where 2 and 3 are the prime numbers.

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Practise This Question

A factory requires 42 machines to produce a given number of articles in 63 days.
The number of machines required to produce the same number of articles in 54 days is 48.