Factors the 24 room the list of integers that have the right to be evenly divided into 24. Over there are all at once 8 components of 24 among which 24 is the biggest factor and also 1, 2, 3, 4, 6, 8, 12, and also 24 are optimistic factors. The amount of all determinants of 24 is 60 and its factors in Pairs room (1, 24), (2, 12), (3, 8), and (4, 6).

You are watching: Write 24 as a product of prime factors.

Factors that 24: 1, 2, 3, 4, 6, 8, 12 and also 24Negative factors of 24: -1, -2, -3, -4, -6, -8, -12 and also -24Prime factors of 24: 2, 3Prime administrate of 24: 2 × 2 × 2 × 3 = 23 × 3Sum of factors of 24: 60
1.What are determinants of 24?
2.Important Notes
3.How come Calculate factors of 24?
4.Factors of 24 by element Factorization
5.Factors of 24 in Pairs
6.FAQs on factors of 24
7.Tips and Tricks

Before we relocate ahead, let"s recall a tiny about factors. A variable is a number the divides the provided number without any remainder. Factors of 24 space pairs that those numbers whose product outcomes in 24.

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To calculation the components of any number, below in this case 24, we need to find all the numbers that would certainly divide 24 there is no leaving any kind of remainder. We begin with the number 1, then check for numbers 2, 3, 4, 5, 6, 7, etc. As much as 24 respectively. The number 1 and also the number itself would always be a element of the offered number.

Let us examine the division of 24 by its factors. We express 24 together a product that its prime factors in the element factorization technique and we division 24 with its divisors in the department method. Let us see which numbers division 24 exactly without a remainder in which situation the divisors, and also the quotients, space the factors of 24.

24/1 = 24; therefore, 1 and also 24 are determinants of 2424/2 = 12; therefore, 2 is a aspect of 2424/3 = 8; therefore, 3 is a factor of 2424/4 = 6; therefore, 4 is a factor of 24

Hence, the factors of 24 room 1, 2, 3, 4, 6, 8, 12, and 24. To know the principle of finding factors by element factorization better, let us take a couple of more examples.


Prime factorization way expressing a composite number as the product that its prime factors. Factors of 24 by prime factorization are given by using the complying with steps:

Step 1: create the pair that factors, which on multiplication, gives the required number.

24 can be factored together a product the 4 and 6.

Step 2: check each the the factors to watch whether each among them is prime or not.

4 is not a prime number and can it is in dissociated together a product that 2 by chin or as a square of 2.6 is not a prime number and also can it is in dissociated together a product that 2 and 3.

Step 3: together per the criteria,

24 deserve to be composed as 24 = 4 × 6 = 2 × 2 × 2 × 3It can also be created as 24 = 23 × 3

Pair factors are pairs the those number that, once multiplied, offer the product as the required number. Here, the required number is 24. Let"s shot visualizing it utilizing blocks.

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Factors the 24 in pairs can be composed as:

FactorsPair factors
1 × 24 = 241, 24
2 × 12 = 242, 12
3 × 8 = 243, 8
4 × 6 = 244, 6
6 × 4 = 246, 4
8 × 3 = 248, 3
12 × 2 = 2412, 2
24 × 1 = 2424, 1

These components given above are hopeful pair factors. The is feasible to have an unfavorable pair factors as well because the product that two negative numbers additionally gives a optimistic number.

Let"s have actually a look at at negative pair factors.

FactorsPair factors
-1 × -24 = 24-1, - 24
-2 × -12 = 24-2, - 12
-3 × -8 = 24-3, -8
-4 × -6 = 24- 4, - 6
-6 × -4 = 24-6, -4
-8 × -3 = 24-8, - 3
-12 × -2 = 24- 12, -2
-24 × -1 = 24-24, -1

1 is the smallest aspect of every number.Every number has a minimum of 2 factors, i.e. 1 and the number itself.All also numbers constantly have 2 as one of their factors.All the number which finish in 5, will constantly have 5 as one of their factors.All the number which finish in 0, will always have 1, 2, 5, and 10 as their factors.

Example 1: Henry needs to determine i beg your pardon pair element of 24 on addition gives 14, subtraction provides 10, and division gives among the factors of 24 i beg your pardon belongs to one more pair. I m sorry pair factor do you think it is?

Solution:

Henry writes down the details provided to him:

Addition that pair factors = 14Subtraction the pair components = 10

Division of pair determinants = One factor belonging to an additional pair. The pair variable is (12, 2). This pair variable on enhancement gives 14, ~ above subtraction offers 10, and also on division gives 6, i m sorry is one more factor that 24 and is a part of one more pair factor.

Therefore, (12, 2) is the compelled pair factor.


Example 2: Jenny has actually an apple tree. She plucks 24 apples from the tree every day. She needs to distribute it among her 4 friends. How many apples will certainly each friend get?

Solution:

Jenny needs to divide 24 apples amongst her 4 friends. This means each girlfriend gets 24/4, i beg your pardon is 6 apples.

Therefore, each girlfriend will acquire 6 apologize every day.


Example 3: How numerous factors space there because that 24?

Solution:

The components of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Therefore, 24 has actually 8 factors.


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FAQs on determinants of 24

What are the factors of 24?

The components of 24 room 1, 2, 3, 4, 6, 8, 12, 24 and also its an unfavorable factors room -1, -2, -3, -4, -6, -8, -12, -24.

What room the Prime factors of 24?

The prime factors of 24 space 2, 3.

What is the Greatest typical Factor the 24 and also 23?

The determinants of 24 room 1, 2, 3, 4, 6, 8, 12, 24 and the determinants of 23 room 1, 23. 24 and 23 have only one common factor i m sorry is 1. This implies that 24 and 23 space co-prime.Hence, the Greatest common Factor (GCF) the 24 and 23 is 1.

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What are the common Factors that 24 and also 21?

Since, the determinants of 24 room 1, 2, 3, 4, 6, 8, 12, 24 and also the components of 21 space 1, 3, 7, 21.Hence, <1, 3> room the common factors that 24 and 21.

What is the sum of the factors of 24?

Sum of all factors of 24 = (23 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) = 60