Factors that 48 space the perform of integers that have the right to be evenly split into 48. It has actually a full of 10 determinants of i beg your pardon 48 is the greatest factor and the prime determinants of 48 space 2 and also 3. The element Factorization the 48 is 24 × 3.

You are watching: What are the prime factors of 48

Factors the 48: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48Negative determinants of 48: -1, -2, -3, -4, -6, -8, -12, -16, -24 and -48Prime determinants of 48: 2, 3Prime administer of 48: 2 × 2 × 2 × 2 × 3 = 24 × 3Sum of components of 48: 124
1.What room the determinants of 48?
2.How to Calculate components of 48?
3.Tips and Tricks
4. Factors the 48 by prime Factorization
5.Challenging Questions
6.Factors of 48 in Pairs
7.Important Notes
8.FAQs on determinants of 48

What are the components of 48?

Factors of 48 room the numbers that, when multiplied together, result in 48.

6 × 8 = 48

48/8=6

Here 6 and also 8 room multiplied with each other to gain 48.

Hence, we say that 6 and 8 are the components of 48.

48 has many other determinants too together 6 and also 8 have components themselves.

To discover them, you have the right to arrange this numbers in arrays as follows.

*

You might arrange 48 in arrays as over and uncover the factors of 48.

How to calculate the determinants of 48?

Step 1: create down the number to it is in factored, i.e., 48.

It is a composite number. It have the right to be factored further.

Step 2: discover the two numbers who product offers 48.

2 × 24 = 48. So, let"s take it 2 and 24 together the 2 factors.

2 is a prime number. Hence, it can only it is in factored as 1 and the number itself.

1 × 2 = 2

Step 3: Since 24 is not prime, let"s rest it down into factors.

2 × 12 = 24. So, let"s take 2 and 12 together the 2 factors.

Again, 2 is a prime number.

Step 4: break 12 into factors.

3 × 4 = 12

2 is a prime number.

Step 5: rest 4 right into factors.

2 × 2 = 4

We stop right here as we have uncovered all the factors of 48.

Hence, the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and also 48.

Tips and also Tricks:

1 is the smallest element of every number.Every number has actually a minimum the 2 factors, i.e., 1 and the number itself.All also numbers constantly have 2 as one of their factors.

Explore determinants using illustrations and also interactive examples.

Factors the 48 by element Factorization

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

Prime factorization is the process of creating a number together a product of its prime factors.Factors of 48 by prime factorization are provided using the following steps.

Step 1: compose the pair of factors that, ~ above multiplication, give the compelled number.48 can be factored as a product that 6 and 8.

Step 2: See the factors, whether each among them is prime or not.6 is not a prime number and also can it is in factored in together a product that 2 and 3.8 is no a prime number and can it is in factored in together a product the 2 and 4.4 is no a prime number and also can be factored in together a product that 2 and 2.

Step 3: together per the criterion,48 can thereby be written as:48 = 6 × 8 = 2 × 3 × 2 × 2 × 2It can additionally be written as:48 = 24 × 31

We can likewise find the prime determinants by this department method or the element tree method.

Factors the 48 by department Method

We division the number every time in together a method that a divisor is a prime number together below.

*

48 = 24 × 3

Factors of 48 by factor Tree Method

*

Can you attract the tree in a quite various way?

Finally, friend will obtain the very same prime factorization together 48= 24 × 31

Challenging Questions:

What space the components of the complying with numbers utilizing the element factorization method?

962456400

Factors of 48 in Pairs

Factor pairs room found in this rainbow method.

*

Positive Pair Factors that 48

FactorsPair Factors
1 × 48 = 481, 48
2 × 24 = 482, 24
3 × 16 = 483, 16
4 × 12 = 484, 12
6 × 8 = 486, 8

Negative Pair Factors that 48

FactorsPair Factors
-1 × -48 = 48-1, -48
-2 × -24 = 48-2, -24
-3 × -16 = 48-3, -16
-4 × -12 = 48-4, -12
-6 × -8 = 48-6, -8

Important Notes:

Factors of any kind of number room all the possible divisible numbers. They might be element numbers or composite numbers.Factors have the right to be negative.

Example 1: If Kyle take away 48 hours to complete reading a publication in 8 days, discover how countless hours has actually she taken every day?

Solution:

We uncover that 8 × ____ = 48

Now let"s discover the lacking factor.

Using the multiplication fact, we understand that 8 × 6 = 48

Hence, Kyle takes 6 hours per day.


Example 2: deserve to you uncover the typical factors of 45 and 48?

Solution:

The components of 45 room 1, 5, 9, 45

The components of 48 room 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The common factor is 1

Hence, the common factor is 1.


Example 3: aid Keath to find the highest common factor of 18 and also 12 by prime factorization.

Solution:

Write the element factorization for each number.

18 = 2 × 3 × 3

12 = 2 × 2 × 3

Next, discover the common factors common by both of the numbers.

The typical factors are 2 × 3

The usual factor is 6.

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


 

*


FAQs on determinants of 48

What are the determinants of 48?

The components of 48 room 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 and its an adverse factors are -1, -2, -3, -4, -6, -8, -12, -16, -24, -48.

What is the Greatest common Factor that 48 and 13?

The determinants of 48 space 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 and the components of 13 space 1, 13. 48 and 13 have actually only one common factor i beg your pardon is 1. This suggests that 48 and 13 space co-prime.Hence, the Greatest usual Factor (GCF) the 48 and also 13 is 1.

What is the sum of every the components of 48?

Sum the all determinants of 48 = (24 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 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).

See more: How Long Does It Take For Ant Eggs To Hatch, Ant Biology

How countless Factors the 48 are additionally common come the determinants of 22?

Since, the components of 48 room 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 and the factors of 22 are 1, 2, 11, 22.Hence, <1, 2> are the usual factors the 48 and 22.