Factors of 24 space the list of integers that deserve to be evenly divided into 24. Over there are all at once 8 determinants of 24 amongst which 24 is the greatest factor and 1, 2, 3, 4, 6, 8, 12, and 24 are optimistic factors. The sum of all components of 24 is 60 and its factors in Pairs space (1, 24), (2, 12), (3, 8), and also (4, 6).

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

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

Before we relocate ahead, let"s recall a small about factors. A aspect is a number the divides the given number without any remainder. Determinants of 24 are pairs of those numbers who product outcomes in 24.

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To calculate the components of any type of number, below in this situation 24, we need to uncover all the numbers that would divide 24 without leaving any remainder. We start with the number 1, then inspect for numbers 2, 3, 4, 5, 6, 7, etc. As much as 24 respectively. The number 1 and also the number itself would constantly be a factor of the provided number.

Let us check the department of 24 by its factors. Us express 24 together a product the its prime factors in the prime factorization an approach and we divide 24 through its divisors in the division method. Let us see i m sorry numbers division 24 precisely without a remainder in which situation the divisors, and also the quotients, room the factors of 24.

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

Hence, the factors of 24 room 1, 2, 3, 4, 6, 8, 12, and 24. To recognize the ide of finding determinants by prime factorization better, let united state take a few more examples.


Prime factorization way expressing a composite number together the product the its prime factors. Components of 24 by prime factorization are provided by making use of the adhering to steps:

Step 1: compose the pair of factors, which on multiplication, provides the forced number.

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

Step 2: inspect each the the factors to see whether each among them is prime or not.

4 is no a element number and can be dissociated together a product the 2 by itself or together a square that 2.6 is no a prime number and can it is in dissociated together a product that 2 and 3.

Step 3: together per the criteria,

24 have the right to be written as 24 = 4 × 6 = 2 × 2 × 2 × 3It can additionally be written as 24 = 23 × 3

Pair factors room pairs that those numbers that, once multiplied, offer the product as the compelled number. Here, the forced number is 24. Let"s shot visualizing it making use of blocks.

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Factors the 24 in pairs have the right to be written 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 determinants given over are confident pair factors. The is possible to have an unfavorable pair factors also because the product the two an unfavorable numbers additionally gives a confident number.

Let"s have actually a watch at an unfavorable 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 factor of every number.Every number has actually a minimum of 2 factors, i.e. 1 and also the number itself.All also numbers always have 2 as one of their factors.All the numbers 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 together their factors.

Example 1: Henry has to determine which pair variable of 24 on addition gives 14, subtraction offers 10, and department gives one of the determinants of 24 which belongs to one more pair. I m sorry pair element do girlfriend think it is?

Solution:

Henry writes down the details provided to him:

Addition the pair factors = 14Subtraction of pair factors = 10

Division that pair components = One element belonging to one more pair. The pair aspect is (12, 2). This pair element on enhancement gives 14, top top subtraction provides 10, and also on division gives 6, which is one more factor that 24 and is a part of another pair factor.

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


Example 2: Jenny has actually an apologize tree. She plucks 24 apples native the tree every day. She has to distribute it amongst her 4 friends. How plenty of apples will certainly each girlfriend get?

Solution:

Jenny has to divide 24 apples amongst her 4 friends. This way each friend gets 24/4, i beg your pardon is 6 apples.

Therefore, each girlfriend will gain 6 apologize every day.


Example 3: How countless factors space there for 24?

Solution:

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


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FAQs on factors of 24

What room the factors of 24?

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

What room the Prime determinants of 24?

The prime components of 24 space 2, 3.

What is the Greatest usual Factor of 24 and 23?

The components of 24 space 1, 2, 3, 4, 6, 8, 12, 24 and also the components of 23 room 1, 23. 24 and 23 have actually only one usual factor which is 1. This indicates that 24 and also 23 space co-prime.Hence, the Greatest common Factor (GCF) that 24 and also 23 is 1.

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What room the usual Factors the 24 and also 21?

Since, the components of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and the components of 21 are 1, 3, 7, 21.Hence, <1, 3> are the usual factors the 24 and also 21.

What is the sum of the factors of 24?

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