What's The Factors Of 48

Factors of 48

Factors of 48 are the listing of integers that can be evenly divided into 48. It has a total of 10 factors of which 48 is the biggest factor and the prime factors of 48 are 2 and 3. The Prime number Factorization of 48 is ii^iv × three.

Factors of 48: 1, two, 3, 4, 6, 8, 12, sixteen, 24 and 48
Negative Factors of 48: -one, -2, -3, -iv, -half-dozen, -eight, -12, -16, -24 and -48
Prime number Factors of 48: 2, 3
Prime Factorization of 48: 2 × two × 2 × 2 × 3 = 2^four × 3
Sum of Factors of 48: 124

1.	What Are the Factors of 48?
2.	How to Calculate Factors of 48?
3.	Tips and Tricks
four.	Factors of 48 by Prime Factorization
5.	Challenging Questions
6.	Factors of 48 in Pairs
7.	Of import Notes
8.	FAQs on Factors of 48

What Are the Factors of 48?

Factors of 48 are the numbers that, when multiplied together, outcome in 48.

half dozen × 8 = 48

48/viii=half-dozen

Here vi and eight are multiplied together to get 48.

Hence, nosotros say that 6 and eight are the factors of 48.

48 has many other factors besides as 6 and 8 take factors themselves.

To find them, you lot can arrange these numbers in arrays as follows.

Finding Factors of 48

You may arrange 48 in arrays every bit above and detect the factors of 48.

How to Calculate the Factors of 48?

Step 1: Write downwards the number to be factored, i.due east., 48.

It is a composite number. Information technology can be factored further.

Footstep ii: Find the two numbers whose product gives 48.

2 × 24 = 48. Then, let'due south take ii and 24 as the two factors.

ii is a prime number. Hence, information technology can simply be factored as i and the number itself.

1 × 2 = ii

Stride three: Since 24 is not prime, let's break it down into factors.

2 × 12 = 24. And so, let's take two and 12 as the two factors.

Once more, two is a prime number.

Step 4: Break 12 into factors.

three × four = 12

2 is a prime number.

Footstep 5: Break four into factors.

2 × 2 = four

We stop here equally we have plant all the factors of 48.

Hence, the factors of 48 are 1, 2, 3, 4, vi, 8, 12, 16, 24, and 48.

Tips and Tricks:

1 is the smallest factor of every number.
Every number has a minimum of 2 factors, i.due east., 1 and the number itself.
All fifty-fifty numbers always have ii as one of their factors.

Explore factors using illustrations and interactive examples.

Factors of 36 - The factors of 36 are 1, two, three, 4, vi, nine, 12, 18, 36
Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, viii, 12, 24
Factors of 15 - The factors of 15 are i, three, 5, 15
Factors of 45 - The factors of 45 are 1, 3, five, 9, fifteen, 45
Factors of 72 - The factors of 72 are 1, 2, iii, four, 6, 8, nine 12, eighteen, 24, 36, 72
Factors of 49 - The factors of 49 are 1, seven, 49

Factors of 48 by Prime Factorization

If the factors of a number are prime numbers, then the factors are said to be prime factors.

Prime factorization is the process of writing a number as a production of its prime factors.
Factors of 48 past prime factorization are given using the following steps.

Step 1: Write the pair of factors that, on multiplication, give the required number.
48 can be factored every bit a product of half dozen and viii.

Footstep two: See the factors, whether each one of them is prime or non.
6 is not a prime number and can be factored in as a production of 2 and 3.
8 is not a prime number number and can be factored in every bit a production of 2 and 4.
4 is not a prime number and can be factored in as a production of ii and 2.

Step three: As per the criterion,
48 can thereby be written equally:
48 = half dozen × 8 = 2 × 3 × two × 2 × 2
It can also exist written as:
48 = two⁴ × three¹

We can also find the prime number factors past this division method or the cistron tree method.

Factors of 48 by Sectionalization Method

We split up the number every fourth dimension in such a way that a divisor is a prime number as below.

Factors of 48 by Prime Factorization

48 = two^four × 3

Factors of 48 by Cistron Tree Method

Factor Tree of 48

Can you draw the tree in a quite different way?

Finally, you will go the same prime factorization as 48= ii⁴ × iii¹

Challenging Questions:

What are the factors of the post-obit numbers using the prime number factorization method?

96
245
6400

Factors of 48 in Pairs

Factor pairs are establish in this rainbow method.

Positive Pair Factors of 48

Factors	Pair Factors
1 × 48 = 48	1, 48
ii × 24 = 48	2, 24
3 × 16 = 48	3, 16
iv × 12 = 48	4, 12
six × 8 = 48	6, 8

Negative Pair Factors of 48

Factors	Pair Factors
-1 × -48 = 48	-1, -48
-ii × -24 = 48	-2, -24
-3 × -16 = 48	-3, -16
-four × -12 = 48	-4, -12
-6 × -8 = 48	-6, -8

Important Notes:

Factors of whatever number are all the possible divisible numbers. They may be prime numbers or composite numbers.
Factors are never fractions or decimals.
Factors tin can be negative.

Factors of 48 Solved Examples

Case ane: If Kyle takes 48 hours to stop reading a volume in 8 days, discover how many hours has she taken per day?

Solution:

We observe that 8 × ____ = 48

Now allow's find the missing factor.

Using the multiplication fact, nosotros know that eight × 6 = 48

Hence, Kyle takes 6 hours per mean solar day.
Case 2: Can y'all notice the common factors of 45 and 48?

Solution:

The factors of 45 are 1, 5, 9, 45

The factors of 48 are 1, 2, iii, 4, half dozen, viii, 12, 16, 24, 48

The mutual factor is 1

Hence, the common factor is 1.
Example 3: Help Keath to find the highest common factor of eighteen and 12 by prime number factorization.

Solution:

Write the prime factorization for each number.

eighteen = 2 × 3 × three

12 = 2 × ii × 3

Side by side, find the common factors shared past both of the numbers.

The common factors are ii × 3

The common factor is half-dozen.

Hence, the highest common factor of 18 and 12 is 6.

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FAQs on Factors of 48

What are the Factors of 48?

The factors of 48 are 1, 2, three, 4, half dozen, viii, 12, 16, 24, 48 and its negative factors are -i, -2, -three, -four, -half dozen, -viii, -12, -16, -24, -48.

What is the Greatest Mutual Cistron of 48 and 13?

The factors of 48 are ane, 2, iii, 4, 6, 8, 12, 16, 24, 48 and the factors of 13 are one, 13. 48 and thirteen have just ane common factor which is 1. This implies that 48 and 13 are co-prime number.

Hence, the Greatest Common Factor (GCF) of 48 and 13 is 1.

What is the Sum of all the Factors of 48?

Sum of all factors of 48 = (2^{4 + 1} - one)/(2 - ane) × (3^{1 + i} - 1)/(three - 1) = 124

What are the Pair Factors of 48?

The pair factors of 48 are (1, 48), (2, 24), (3, 16), (4, 12), (6, 8).

How Many Factors of 48 are too common to the Factors of 22?

Since, the factors of 48 are 1, ii, 3, 4, six, 8, 12, 16, 24, 48 and the factors of 22 are 1, 2, 11, 22.
Hence, [1, ii] are the common factors of 48 and 22.