# Factors of 72

### Factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. 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 72?

**THINK**: **What pairs of numbers can be multiplied together to give me 72?**

**Step 1****: 1 x 72 = 72, so put these numbers in the factor list.**

1 | … | 72 |

**Step 2****: **Take **2** and divide with **72**. It gives 2 x 36 = 72**.**

1 | 2 | 36 | 72 |

**Step 3****:**Take **3** and divide with **72**. It gives 3 x 24 = 72

1 | 2 | 3 | 24 | 36 | 72 |

**Step 4****: **Take 4 and divide with 72. It gives 4 x 18 = 72

1 | 2 | 3 | 4 | 18 | 24 | 36 | 72 |

**Step 5****: **Take **5** and divide with **72**. The remainder will be **2**. But factors always give **0** remainder. This means **5 is NOT a factor of 72.**

**Step 6**

**:**Take

**6**and divide with

**72**. It gives

**6 x 12**= 72

1 |
2 | 3 | 4 | 6 | 12 | 18 | 24 | 36 | 72 |

**Step 7****: **Take **7** and divide with **72**. The remainder will be **2**. But factors always give **0** remainder. This means **7 is NOT a factor of 72.**

**Step 8****: **Take **8** and divide with **72**. It gives 8 x 9 = 72.

1 | 2 | 3 | 4 | 6 | 8 | 9 | 12 | 18 | 24 | 36 | 72 |

**Step 9****: **Take 9 and divide with 72. It gives 9 x 8 = 72 but factors 9 and 8 are already in the list. So you dont need to repeat the number.

**Step 10****: **Take **10** and divide with **72**. The remainder will be **2**. But factors always give **0** remainder. This means **10 is NOT a factor of 72.**

**So the factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.**

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

## Is 72 a prime or composite number?

**72 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 72

The prime factorization of 72 are** 2 x 2 x 2 x 3 x 3 **(i.e. 2^{3} × 3^{2}^{)}

## Factor pairs of 72

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 72 are:**

1 x 72 = 72

2 x 36 = 72

3 x 24 = 72

4 x 18 = 72

6 x 12 = 72

8 x 9 = 72

12 x 6 = 72

18 x 4 = 72

24 x 3 = 72

36 x 2 = 72

72 x 1 = 72

## Is 72 a square number?

No, 72 is **NOT** a square number.

The square root of 72 is **8.49.**

The square of 72 is **5184.**

Hope you learned to solve the factors of 72. Now try to find out the factors of the following numbers by yourself. **FACTORS OF 72 – 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. **Apart from factors of 72 you can find another factors below.

## 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

Factors of 42

Factors of 45

Factors of 48

Factors of 56

Factors of 72