# Factors of 48

### Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Now understand the basic concept of factor and how to find the factors in easy way.

## What is the factor?

Factors are integers you multiply together to get another integer. **Also remember that the factors always include 1 and itself.**

**NOTE: When finding the factors of a number, ask yourself “what numbers can be multiplied together to give me this number?.**

## How to find the factors of 48?

**THINK**: **What pairs of numbers can be multiplied together to give me 48?**

**Step 1****: 1 x 48 = 48, so put these numbers in the factor list.**

1 | … | 48 |

**Step 2****: **Take **2** and divide with **48**. It gives 2 x 24 = 48**.**

1 | 2 | 24 | 48 |

**Step 3****:**Take **3** and divide with **48**. It gives 3 x 16 = 48

1 | 2 | 3 | 16 | 24 | 48 |

**Step 4****: **Take 4 and divide with 48. It gives 4 x 12 = 48

1 | 2 | 3 | 4 | 12 | 16 | 24 | 48 |

**Step 5****: **Take **5** and divide with **48**. The remainder will be **3**. But factors always give **0** remainder. This means **5 is NOT a factor of 48.**

**Step 6**

**:**Take

**6**and divide with

**48**. It gives

**6 x 8**= 48

1 |
2 | 3 | 4 | 6 | 8 | 12 | 16 | 24 | 48 |

**Step 7****: **Take **7** and divide with **48**. The remainder will be **6**. But factors always give **0** remainder. This means **7 is NOT a factor of 48.**

**Step 8**

**:**Take

**8**and divide with

**48**. It gives 8 x 6 = 48 but factors 8 and 6 are already in the list. So you dont need to repeat the number.

1 |
2 | 3 | 4 | 6 | 8 | 12 | 16 | 24 | 48 |

**Step 9****: **Take 9 and divide with 48. The remainder will be 3. But factors always give 0 remainder. This means 9 is NOT a factor of 48.

**Step 10****: **Take **10** and divide with **48**. The remainder will be **8**. But factors always give **0** remainder. This means **10 is NOT a factor of 48.**

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

**TIPS: Try to keep tables (at least till 20) on your finger tips. Revise tables every day**

## Is 48 a prime or composite number?

**48 is a composite number not prime number** because it has more than 2 factors.

**What is composite number?** – The composite numbers are the positive integers which have more than two factors.

**What is prime number?** – An integer number that is divisible by two distinct integers, **1 and itself**.

## What is the prime factorization of 48

The prime factorization of 48 are** 2 x 2 x 2 x 2 x 3 **(i.e. 2^{4} × 3^{)}

## Factor pairs of 48

Factors are often given as pairs of numbers, which multiply together to give the original number. These are called factor pairs

**What is factor pairs:** Factor pairs are combinations of two factors that multiply together to give the original number.

**Factor pairs of 48 are:**

1 x 48 = 48

2 x 24 = 48

3 x 16 = 48

4 x 12 = 48

6 x 8 = 48

8 x 6 = 48

12 x 4 = 48

16 x 3 = 48

24 x 2 = 48

48 x 1 = 48

## Is 48 a square number?

No, 48 is **NOT** a square number.

The square root of 48 is **6.93.**

The square of 48 is **2304.**

Hope you learned to solve the factors of 48. Now try to find out the factors of the following numbers by yourself. **FACTORS OF 48 – 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.**

## Factors of another number

Factors of 11

Factors of 18

Factors of 24

Factors of 28

Factors of 30

Factors of 32

Factors of 36

Factors of 40

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Factors of 45

Factors of 48

Factors of 56

Factors of 72