In mathematics, we learn different concepts in primary classes. Factors and multiples are important concepts, especially in the reduction and expansion of the factions, and are also used while the standards are found in common, discuss the difference between factors and multipliers with manydissolved examples.

**Learn:**Factors and multiple

**Index:**

- Multiple definition
- List
- Characteristics
- Common multiple
- Usual factors
- Co-First Numbers
- Difference between factors and multiples
- Examples
- Questions
- Frequent questions

let's go to studyOftenA number in detail here.

## What are multiple?

A**A result is several times that it is obtained by multiplying a number with an integer**(It should not be a fraction) The multiple of the total number will be obtained by removing the product of counting numbers and all numbers.

Example 1: | Find the multiple of complete number 3 | |||||||

Multiplication: | 3 x 1 | 3 x 2 | 3 x 3 | 3 x 4 | 3 x 5 | 3 x 6 | 3 x 7 | 3 x 8 |

Multiples of 3: | 3 | 6 | 9 | 12 | 15 | 18 | 21 | 24 |

Solution: | The multiple of 3 is 3, 6, 9, 12, 15, 18, 21, 24 ... |

Example 2: | Find the multiple of number 8 complete | |||||||

Multiplication: | 8 x 1 | 8 x 2 | 8 x 3 | 8 x 4 | 8 x 5 | 8 x 6 | 8 x 7 | 8 x 8 |

Multiples of 8: | 8 | sixteen | 24 | 32 | 40 | 48 | 56 | 64 |

Solution: | The multiple of 8 is 8, 16, 24, 32, 40, 48, 56, 64 ... |

MultipleThese are useful resources to obtain the large number of certain numbers.

## Various Numbers List

A number can have an infinite number of multiples, since multipliers are data multipliers with natural numbers. We can write an infinite number of multipliers for a specific number. The following table shows the first 10 multiple numbers.

Number | First 10 multiples |

2 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 |

3 | 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 |

4 | 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 |

5 | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 |

6 | 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 |

7 | 7, 14, 21, 28, 35, 42, 49, 56, 63, 70 |

8 | 8, 16, 24, 32, 40, 48, 56, 64, 72, 80 |

9 | 9, 18, 27, 36, 45, 54, 63, 72, 81, 90 |

10 | 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 |

11 | 11, 22, 33, 44, 55, 66, 77, 88, 99, 110 |

12 | 12, 24, 36, 48, 60, 72, 84, 96, 108, 120 |

13 | 13, 26, 39, 52, 65, 78, 91, 104, 117, 130 |

14 | 14, 28, 42, 56, 70, 84, 98, 112, 126, 140 |

15 | 15, 30, 45, 60, 75, 90, 105, 120, 135, 150 |

sixteen | 16, 32, 48, 64, 80, 96, 112, 128, 144, 160 |

17 | 17, 34, 51, 68, 85, 102, 119, 136, 153, 170 |

18 | 18, 36, 54, 72, 90, 108, 126, 144, 162, 180 |

19 | 19, 38, 57, 76, 95, 114, 133, 152, 171, 190 |

20 | 20, 40, 60, 80, 100, 120, 140, 160, 180, 200 |

Obtain the multiple of some of these numbers with detailed explanations.

Multiples of 2 | Multiples of 3 |

Multiples of 4 | Multiples of 5 |

Multiples of 6 | Multiples of 7 |

Multiples of 8 | Multiples of 9 |

Multiples of 12 | Multiples of 15 |

## Multiple properties

The important properties of the multiples are under the tabular:

Property | Example |

Each variety of a number is larger or the same number. | The multiple of 21 are: 21, 42, 63, 84, 105, ... All numbers are larger here or 21. |

The number of multiples of a given number is infinite. | From the definition of multipliers, we can say that an infinite number of integers can multiply by a certain number to obtain multipliers, for example |

Each number is often the number itself. | 23 is a multiple of 23, 30 is a multiple of 30 and so on. |

## Common multiple

Multiple that two numbers are common are called multiple common of these figures. We intend with the help of an example.

Consider two numbers - 30 and 45. Multiples of 30 and 45 are - - - - -

30 = 30, 60, 90, 120, 150, 180, 210, 240, 270… ..

45 = 45, 90, 135, 190, 225, 270 ……….

We see that 90 and 270 are the first two common multiples of 30 and 45.

Suppose Joe and Sam run on a circular route. start point?

This can be derived from the common list several times. Sam and Joe will meet again after 90 minutes.

### Multiple video lessons

### Usual factors

The factors that are two or more in common are called common factors. How do we find the common factors? See two numbers A and B. Write all A and B factors separately and observe the numbers that A and B are common and understandThe concept of common factors that use an example.

Taking into account the same two numbers 30 and 45.

30 and 45 factors are - - -

30 = {1, 2, 3, 5, 10, 15 E 30}

45 = {1, 3, 5, 9, 15, 45}

What are the common factors you can see? 15, 5, 3 and 1 appear in 30 and 45.

The frequent factors of 30 and 45 are 1, 3, 5 and 15.

This concept has also adopted many practical applications, wishes a dimensional room of 30 m x 45 m. The maximum size of a square mosaic that can be used can be derived with the help of common factors. Square shakes of the lateral length 15 cm.

### Coprimon number

Two numbers with "1" are only called cousins as a common factor. Example: 5 and 14, 6 and 17.

Observation:

- Of thePrime numbersThey are always cousin numbers.
- Two uniform numbers can never be co-private numbers.

## Difference between factors and multiples

The main difference between factors and multiples is provided below:

Factors | Multiple |

A number of a number is defined as a precise part of the specified number. | A multiple of a number is defined as a number that is obtained multiplier with a natural number. |

For example, the factors of 20 1, 2, 4, 5, 10 and 20. | For example, the multiple of 20, 20, 40, 60, 80, 100 etc. |

## Multiple examples resolved

**Example 1**:

Write the first 5 multiples of individuals of the following.

- 23 (b) 40

**Solution:**

(A) The first five multiples of 23 are 23, 46, 69, 92, 115.

**Explanation:**

1 x 23 = 23

2 x 23 = 46

3 x 23 = 69

4 x 23 = 92

5 x 23 = 115

(B) The first five multiples of 40 are 40, 80, 120, 160, 200

**Explanation:**

1 x 40 = 40

2 x 40 = 80

3 x 40 = 120

4 x 40 = 160

5 x 40 = 200

**Example 2:**

Write the factors and multiples of 25.

**Solution:**

The factors of 25 are 1, 5 and 25

The multiple of 25 is 25, 50, 75, 100, 125, 150 and so on.

### Multiple questions

- Write the first multiple of 22.
- Jessi saves 5 rupees every day. What will save after 10 days?
- How many multiples of 17 exist between 1 and 100?

For more information on factors and multipliers, LCM and HCF, download the learning application.

## Frequently questions about multiples

### What are multiple?

The multiple of a number is defined as a preserved number as a product of two notes.

### Are multipliers and equal products?

If we multiply two numbers, the answer is the product. We can say that the product is also called several numbers.

### Is the multiple of 4 really?

Yes, the multiple of 4 is uniform. As 4 is a torque number, the multiple of 4.

### Is the multiple of 3 always the multiple of 6?

Yes, the multiple of 3 is the multiple of 6, since 3 is a factor of 6.

### What are the multiple of 7?

The multiple of 7 is 7, 14, 21, 28, 35, 42 and so on.