Factors the 24 room the list of integers that can be evenly split into 24. Over there are in its entirety 8 components of 24 among 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 determinants in Pairs room (1, 24), (2, 12), (3, 8), and also (4, 6).

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

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

Before we move ahead, let"s remind a small about factors. A aspect is a number the divides the provided number without any type of remainder. Determinants of 24 room pairs that those numbers whose product outcomes in 24.

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To calculate the determinants of any kind of number, here in this situation 24, we need to find all the numbers that would divide 24 without leaving any kind of remainder. We begin with the number 1, then check for number 2, 3, 4, 5, 6, 7, etc. As much as 24 respectively. The number 1 and the number chin would always be a factor of the offered number.

Let us check the division of 24 by its factors. We express 24 together a product the its prime factors in the element factorization an approach and we division 24 with its divisors in the department method. Let us see i beg your pardon numbers divide 24 specifically without a remainder in which situation the divisors, and the quotients, room the factors of 24.

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

Hence, the factors the 24 space 1, 2, 3, 4, 6, 8, 12, and 24. To know the ide of finding components by element factorization better, let united state take a few more examples.


Prime factorization way expressing a composite number together the product that its prime factors. Components of 24 by prime factorization are offered by using the adhering to steps:

Step 1: write the pair of factors, i m sorry on multiplication, gives the compelled number.

24 deserve to be factored together a product of 4 and 6.

Step 2: examine each that the components to see whether each one of them is prime or not.

4 is no a prime number and also can it is in dissociated together a product of 2 by chin or together a square the 2.6 is not a element number and also can be dissociated together a product the 2 and also 3.

Step 3: as per the criteria,

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

Pair factors space pairs the those number that, once multiplied, provide the product as the forced number. Here, the forced number is 24. Let"s try visualizing it making use of blocks.

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Factors that 24 in pairs deserve to be created 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 above are positive pair factors. The is feasible to have negative pair factors as well because the product that two an adverse numbers also gives a confident number.

Let"s have 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 aspect of every number.Every number has actually a minimum of two factors, i.e. 1 and 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 numbers which end in 0, will constantly have 1, 2, 5, and also 10 together their factors.

Example 1: Henry needs to determine which pair element of 24 on enhancement gives 14, subtraction gives 10, and division gives one of the factors of 24 which belongs to another pair. Which pair aspect do you think the is?

Solution:

Henry writes under the details given to him:

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

Division the pair determinants = One variable belonging to another pair. The pair aspect is (12, 2). This pair factor on addition gives 14, top top subtraction gives 10, and on division gives 6, i m sorry is an additional factor the 24 and also is a part of another pair factor.

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


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

Solution:

Jenny needs to divide 24 apples amongst her 4 friends. This means each friend gets 24/4, which is 6 apples.

Therefore, each friend will gain 6 to apologize every day.


Example 3: How plenty of factors are there for 24?

Solution:

The determinants of 24 space 1, 2, 3, 4, 6, 8, 12, 24. Therefore, 24 has 8 factors.


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FAQs on components of 24

What space the factors of 24?

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

What are the Prime components of 24?

The prime factors of 24 room 2, 3.

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

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

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What are the usual Factors the 24 and 21?

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

What is the amount of the factors of 24?

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