The Multiples of 9 are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, … i.e. M₉ = {9, 18, 27, 36, 45, 54, 63, 72, 81, 90, …}. Multiples of 9 are the series of numbers obtained by multiplying 9 with the natural numbers.

 

9 × 1 = 9

9 × 2 = 18

9 × 3 = 27

9 × 4 = 36

9 × 5 = 45

9 × 6 = 54

9 × 7 = 63

9 × 8 = 72

9 × 9 = 81

9 × 10 = 90

…

And so on.

 

A multiplication chart, also known as a times table or multiplication table, is a visual tool that displays the products of numbers from 1 to a certain range, typically up to 10 or 12. It is organized in a grid format with the numbers listed along the top and left sides. The chart shows the results of multiplying the numbers in each row with the numbers in each column, resulting in a grid of multiplication facts. Each cell in the chart represents the product of the corresponding row and column numbers.

 

The Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, … i.e. M₇ = {7, 14, 21, 28, 35, 42, 49, 56, 63, 70, …}. Multiples of 7 are the series of numbers obtained by multiplying 7 with the natural numbers.

 

7 × 1 = 7

7 × 2 = 14

7 × 3 = 21

7 × 4 = 28

7 × 5 = 35

7 × 6 = 42

7 × 7 = 49

7 × 8 = 56

7 × 9 = 63

7 × 10 = 70

…

And so on.

 

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, … i.e. M₄ = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, …}. Multiples of 4 are the series of numbers obtained by multiplying 4 with the natural numbers.

 

4 × 1 = 4

4 × 2 = 8

4 × 3 = 12

4 × 4 = 16

4 × 5 = 20

4 × 6 = 24

4 × 7 = 28

4 × 8 = 32

4 × 9 = 36

4 × 10 = 40

…

And so on.

 

The Multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, … i.e. M₁₂ = {12, 24, 36, 48, 60, 72, 84, 96, 108, 120, …}. Multiples of 12 are the series of numbers obtained by multiplying 12 with the natural numbers.

 

12 × 1 = 12

12 × 2 = 24

12 × 3 = 36

12 × 4 = 48

12 × 5 = 60

12 × 6 = 72

12 × 7 = 84

12 × 8 = 96

12 × 9 = 108

12 × 10 = 120

…

And so on.

 

The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, … i.e. M₆ = {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …}. Multiples of 6 are the series of numbers obtained by multiplying 6 with the natural numbers.

 

6 × 1 = 6

6 × 2 = 12

6 × 3 = 18

6 × 4 = 24

6 × 5 = 30

6 × 6 = 36

6 × 7 = 42

6 × 8 = 48

6 × 9 = 54

6 × 10 = 60

…

And so on.

 

The Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, … i.e. M₈ = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, …}. Multiples of 8 are the series of numbers obtained by multiplying 8 with the natural numbers.

 

8 × 1 = 8

8 × 2 = 16

8 × 3 = 24

8 × 4 = 32

8 × 5 = 40

8 × 6 = 48

8 × 7 = 56

8 × 8 = 64

8 × 9 = 72

8 × 10 = 80

…

And so on.

 

The factors of 59 are 1 and 59 i.e. F₅₉ = {1, 59}. The factors of 59 are all the numbers that can divide 59 without leaving a remainder. 59 is a prime number, so it is divisible by 1 and 59 only.

 

We can check if these numbers are factors of 59 by dividing 59 by each of them. If the result is a whole number, then the number is a factor of 59. Let's do this for each of the numbers listed above:

 

·        1 is a factor of 59 because 59 divided by 1 is 59.

·        59 is a factor of 59 because 59 divided by 59 is 1.

 

The factors of 343 are 1, 7, 49, and 343 i.e. F₃₄₃ = {1, 7, 49, 343}. The factors of 343 are all the numbers that can divide 343 without leaving a remainder.

 

We can check if these numbers are factors of 343 by dividing 343 by each of them. If the result is a whole number, then the number is a factor of 343. Let's do this for each of the numbers listed above:

 

·        1 is a factor of 343 because 343 divided by 1 is 343.

·        7 is a factor of 343 because 343 divided by 7 is 49.

·        49 is a factor of 343 because 343 divided by 49 is 7.

·        343 is a factor of 343 because 343 divided by 343 is 1.