8 Times What Equals 24

Factors of 24 are the integers that can carve up the original uniformly. Thus, there will be no remainder left. 24 is a composite number, therefore it will accept factors more than than two.There are a total of 8 factors of 24, they are 1, 2, 3, 4, 6, eight, 12 and 24. Pair factors of 24 are the numbers, which gives the result equally 24 when multiplied together in pairs. Its pair factors are (one, 24), (two, 12), (iii, 8), and (4, vi).The prime factorisation of 24 gives 2 x 2 ten 2 x 3 = two ³ ten 3, where 2 and 3 are the prime number factors of 24. The sum of factors of 24 is 60.The multiples of 24 are extended times tables, such as, 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360 and then on.

What are Factors of 24?

By the definition of factors, nosotros know, a cistron can divide a given number into an equal number of parts. Therefore, factors of 24 are such whole numbers that can divide 24 into an equal number of parts. These factors cannot exist a fraction.

Factors of 24

How many Factors does 24 have?

By prime factorisation of factors, we get;

2 x 2 x two x three = 2 ³ x 3

Nosotros can encounter here, the exponent of two is 3 and 3 is 1.

Now, to detect the number of factors of 24 nosotros demand to add together 1 each to the exponents and multiply them, such as:

(3+ane) 10 (ane+i)

= iv x 2

= 8

Hence, in that location are viii positive factors for number 24.

How to Discover Factors of 24?

We can easily find the factors of 24 by the segmentation method. As we know, the factors of any number are always less than or equal to the original number. Therefore, we need to split 24 by a smaller number or by itself. If in the division, the quotient generates is a whole number, then the divisor is the required factor.

1 is the factor of all natural numbers and also a number is a gene of itself. Therefore, one and 24 are two factors of 24. Now, 24 is an even number, thus it is divisible past ii. 24/two = 12, then ii is a cistron. 24 is likewise a multiple of 3, 4, 6, 8 and 12, therefore the other factors of 24 are iii, 4, half dozen, eight, and 12. Hence,

24 ÷ one = 24
24 ÷ 2 = 12
24 ÷ 3 = viii
24 ÷ 4 = half-dozen
24 ÷ 6 = four
24 ÷ eight = 3
24 ÷ 12 = ii
24 ÷ 24 = 1

Apart from these eight numbers, if we split up 24 by any other number, then the resulting caliber volition be a fraction.

For example, 24 ÷ five = four.8

Hence, the calculated factors of 24 are i, 2, three, 4, 6, 8, 12 and 24.

Pair Factors of 24

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

1 × 24 = 24
two × 12 = 24
3 × 8 = 24
four × 6 = 24

Thus, the pair factors are (1, 24), (2, 12), (three, 8), and (4, 6).

We can consider negative pair factors of 24 because the product of two negative factors will result in positive original number, such as:

-1 × -24 = 24
-2 × -12 = 24
-3 × -8 = 24
-4 × -6 = 24

Thus, the negative pair factors are (-1, -24), (-2, -12), (-iii, -8), and (-4, -6).

Prime Factorisation of 24

The number 24 is a blended number. Now permit the states find the prime number factors of 24.

The first stride is to carve up the number 24 with the smallest prime number factor, i.e. 2.

24 ÷ 2 = 12

Again, dissever 12 past ii.

12 ÷ ii = half-dozen

half dozen ÷ 2 = 3

At present, if we separate 3 by 2 we go a fraction number, which cannot be a factor.
At present, go on to the next prime numbers, i.e. 3.

3 ÷ 3 = 1

We accept received 1 at the cease and farther, we cannot proceed with the partitioning method. So, the prime factorisation of 24 is 2 × 2 × 2 × 3 or 2^three × 3, where 2 and 3 are the prime number numbers.

Video Lesson on Prime Factors

Important Points to Recollect

Factors of 24: 1, 2, 3, 4, half-dozen, eight, 12, 24
Prime number factors of 24: two and 3
Pair factors of 24: (1, 24), (two, 12), (3, eight), and (four, 6).
Prime factorisation of 24: twoⁱⁱⁱ × 3

Learn more about factors and prime factors here with us in BYJU'S and besides download BYJU'Due south – The Learning App for a better experience.

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Solved Examples on Factors of 24

Q.1: What are the common factors of 24 and 25?

Solution: Mutual factors between 24 and 25 are given by listing the factors of both numbers.

Factors of 24 = 1, 2, 3, 4, vi, 8, 12 and 24.

Factors of 25 = 1, v and 25

Thus, only 1 is the common gene to both the numbers 24 and 25

Q.2: Sam has 24 candies in his pocket. He has to distribute the candies amongst his 6 friends. How can he do information technology?

Solution: Number of candies Sam has = 24

Number of friends = half dozen

Thus, each of the friends volition become = 24/six = 4 candies

Q.3: What are the prime number factors of 24?

Solution: The prime factorisation of 24 results in:

24 = 2 × 2 × two × iii or ii³ × iii

Therefore, two and 3 are the prime number factors of 24.

Factors and Multiples of 24

Factors of 24	Multiples of 24
one, 2, iii, 4, 6, eight, 12 and 24	24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, etc.

Oft Asked Questions on Factors of 24

What are the factors of 24?

Factors of 24 are 1, ii, 3, 4, half dozen, 8, 12 and 24.

How many factors are there for 24?

There is a total of eight factors of 24.
24÷i=24
24÷two=12
24÷3=8
24÷4=vi
24÷6=4
24÷8=3
24÷12=ii
24÷24=1

How to find the number of factors?

To find the number of factors for a given number, first, we need to do prime factorisation of the number.
And then check with the number of exponents
Add 1 to each exponent and multiply them all together.
For example, prime factorisation of 8 is 2 x ii ten 2 = 2³
As we can see here, the exponent is 3. Therefore, the number of factors volition be 3+1 = 4
Hence, one,2,four and 8 are the factors of 8.

What are the factors of 24 in pairs?

The factors of 24 in pairs are (1,24), (2,12) (3,8) and (four,vi).

What are the prime number factors of 24?

The prime number factorisation of 24 gives 2 × 2 × 2 × 3 = 2³ × 3.

What two factors equal 24?

1 x 24 = 24
2 x 12 = 24
iii x 8 = 24
4 x 6 = 24

What is the sum of factors of 24?

The factors of number 24 are 1, 2, 3, 4, vi, 8, 12, 24. Therefore,
Sum of all the factors = i+ii+three+4+six+8+12+24 = 60

What are common factors between 12 and 24?

The mutual factors of 12 and 24 are i,2,3,four,6 and 12.

What times what gives 24 every bit result?

1 fourth dimension of 24 equals 24, Two times of 12 is 24, Three times of 8 are 24, Four times of six are 24.