# Factors of 24

Factors 24 are integers that can evenly divide the original. There will be no remaining remainder. 24 is a composite number. It will therefore have more factors than 2. There are eight factors to 24. These are 1, 2, 4, 6, 8, 12, and 24. The pair factors of 24 are the numbers that give the result of 24 when multiplied in pairs. Its pair factors include (1, 24, (2, 12, 3, 3, 8, and (4,6). The prime factorisation gives 2 x2 x2 x3 = 2 3x 3, where 2 is the prime factor of 24. 60 is the sum of all factors. Multiples of 24 can be extended times tables such as 24, 48, 72 and 96.

What are Factors of 24, and how do they relate to 24?

We know that a factor can divide any number into equal parts. This is evident from the definition of factors. Factors of 24 are whole numbers that can be divided into equal parts. These factors can’t be fractions. What are the Factors of 24?

We get prime factorization of factors

2 x 2×2 x 2×3 = 2 3 x 3.

As you can see, the exponent for 2 is 3.

To find the number factors of 24, we must add 1 to each exponent and multiply them as follows:

(3+1) x (1+1).

= 4 x 2.

= 8

There are 8 positive aspects to number 24.

How do I find factors of 24?

The division method makes it easy to find the factors for 24. We all know that the factors of any number can always be less or equal to the original. Divide 24 by a smaller number, or by itself. If the quotient generated by the division is a whole number then the divisor will be the required factor.

One is the factor for all natural numbers, and a number is also a factor. Thus, 1 and 24 can be considered as two factors of 24. 24 is an even number so it can be divided by 2. 24/2 = 12, which is why 2 is considered a factor. 24 is also a multiple on 3, 4, 6, 8 or 12, so 2 is a factor. The other factors of 24 are 3, 6, 8, 8 and 12. Hence,

• 24 / 1 = 24
• 24 / 2 = 12
• 24 / 3 = 8
• 24 / 4 = 6
• 24 / 6 = 4
• 24 / 8 = 3
• 24 / 12 = 2
• 24 / 24 = 1

These eight numbers are not the only ones. If we divide 24 with any other number, the resultant quotient will become a fraction.

For example, 24/5 = 4.8

Therefore, the calculated factors for 24 are 1, 2, 4, 6, 8, 12, and 24.

Pair Factors of 24

You can multiply two numbers in a couple to find the factors for number 24, such as:

• 1 x 24 = 24
• 2 x 12 = 24
• 3 x 8 = 24
• 4 x 6 = 24

The pair factors are thus (1, 24, (2, 12,), (3, 8, and (4,6).

Negative pair factors can be considered 24. The product of two negative variables will give rise to a positive original number, such:

• -1 x 24 = 24
• -2 x 12 = 24
• -3 x 8 = 24
• -4 x 6 = 24

The negative pair factors for a given situation are (-1-24), (-2-12), (-3-8), and (-4-6).

Prime factorization of 24

The number 24 can be considered a composite number. Let’s now find the prime factors for 24.

• First, divide 24 by the smallest prime factor. 2.

24 / 2 = 12

Divide 12 by 2.

12 / 2 = 6

6 / 2 = 3

• Divide 3 by 2 to get a fraction, which is not a factor.
• Next, move on to the next prime number, i.e. 3.

3 / 3 = 1

• We have 1 at the end, so we can’t continue with the division method. The prime factorization of 24 is therefore 2 x 2×2 x 3 or 23×3, where 2 and 3 represent the prime numbers.

Important Points to Keep in Mind

 Factors of 24: 1, 3, 4, 6, 8, 8, 12, 24Prime factors of 24: 2, 3Pair factors for 24: (1-24), (2-12), (3-8), and (4-6).Prime factorization of 24: 2 3, x 3.
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