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

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**Factors the 48:**1, 2, 3, 4, 6, 8, 12, 16, 24 and also 48

**Negative factors of 48:**-1, -2, -3, -4, -6, -8, -12, -16, -24 and also -48

**Prime components of 48:**2, 3

**Prime administrate of 48:**2 × 2 × 2 × 2 × 3 = 24 × 3

**Sum of determinants of 48:**124

1. | What are the determinants of 48? |

2. | How come Calculate determinants of 48? |

3. | Tips and Tricks |

4. | Factors of 48 by prime Factorization |

5. | Challenging Questions |

6. | Factors of 48 in Pairs |

7. | Important Notes |

8. | FAQs on components of 48 |

## What room the factors of 48?

**Factors the 48 space the number that, once multiplied together, result in 48.**

6 × 8 = 48

48/8=6

Here 6 and also 8 are multiplied together to get 48.

Hence, us say that 6 and 8 space the factors of 48.

48 has many other components too as 6 and 8 have components themselves.

To uncover them, you can arrange this numbers in arrays together follows.

You might arrange 48 in arrays as above and find the factors of 48.

## How to calculate the factors of 48?

**Step 1**: compose down the number to be factored, i.e., 48.

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

**Step 2**: uncover the 2 numbers whose product gives 48.

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

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

1 × 2 = 2

**Step 3:** Since 24 is no prime, let"s rest it down into factors.

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

Again, 2 is a prime number.

**Step 4:** break 12 right into factors.

3 × 4 = 12

2 is a prime number.

**Step 5:** rest 4 right into factors.

2 × 2 = 4

We stop below as we have discovered all the determinants of 48.

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

**Tips and Tricks:**

**Explore components using illustrations and also interactive examples.**

## Factors of 48 by prime Factorization

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

**Prime administrate is the procedure of writing a number as a product of its element factors.**Factors of 48 by element factorization are offered using the adhering to steps.

**Step 1:** write the pair of factors that, on multiplication, offer the required number.48 can it is in factored as a product that 6 and 8.

**Step 2: **See the factors, even if it is each one of them is element or not.6 is no a prime number and can it is in factored in as a product that 2 and 3.8 is not a prime number and also can it is in factored in together a product the 2 and 4.4 is no a prime number and can it is in factored in as a product the 2 and 2.

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

We can additionally find the prime determinants by this department method or the aspect tree method.

### Factors the 48 by division Method

We divide the number every time in together a means that a divisor is a element number together below.

48 = 24 × 3

### Factors that 48 by variable Tree Method

Can you attract the tree in a quite different way?

Finally, friend will gain the very same prime factorization as 48= 24 × 31

**Challenging Questions:**

What space the components of the following numbers making use of the prime factorization method?

962456400## Factors of 48 in Pairs

Factor pairs room found in this **rainbow method**.

### Positive Pair Factors the 48

FactorsPair Factors1 × 48 = 48 | 1, 48 |

2 × 24 = 48 | 2, 24 |

3 × 16 = 48 | 3, 16 |

4 × 12 = 48 | 4, 12 |

6 × 8 = 48 | 6, 8 |

### Negative Pair Factors of 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:**

**Example 1:** If Kyle takes 48 hours to finish reading a book in 8 days, find how countless hours has actually she taken per day?

**Solution:**

We uncover that 8 × ____ = 48

Now let"s uncover the absent factor.

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

Hence, Kyle bring away 6 hours per day.

**Example 2:** have the right to you find the usual factors the 45 and 48?

**Solution:**

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

The determinants of 48 space 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The typical factor is 1

Hence, the usual factor is 1.

**Example 3:** assist Keath to uncover the highest common factor the 18 and 12 by prime factorization.

**Solution:**

Write the element factorization for each number.

18 = 2 × 3 × 3

12 = 2 × 2 × 3

Next, find the usual factors mutual by both of the numbers.

The common factors space 2 × 3

The typical factor is 6.

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

## FAQs on components of 48

### What space the determinants of 48?

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

### What is the Greatest typical Factor the 48 and also 13?

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 and also the factors of 13 are 1, 13. 48 and also 13 have only one typical factor which is 1. This implies that 48 and 13 room co-prime.Hence, the Greatest usual Factor (GCF) the 48 and also 13 is 1.

### What is the sum of all the components of 48?

Sum that all factors of 48 = (24 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) = 124

### What room the Pair components of 48?

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

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### How plenty of Factors of 48 are additionally common to the components of 22?

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