Math > Year 3

Multiplication & Division facts

Terms related to multiplication:

Factors: A factor is a number that divides a given number without a remainder.
 

In other words, the numbers that we multiply to get another number are called factors of that number.
 

For example:
 



 

Product: When we multiply any two or more numbers, the answer which we get is called the product.
 

 

 

Terms related to Division: 
 

Dividend - A number that is divided by another number.

Divisor - A number by which another number, the dividend, is divided.

Quotient - A result obtained by dividing one quantity by another.

 



 

Multiplication and division facts:

 


 

Number of rows = 3

Number of columns = 6

Total number of flowers = 3 × 6

= 18
 

Using it another way:

If you have 18 flowers, and you need to arrange 6 flowers in each row, How many rows will there be? 

18 ÷ 6 = 3
 

 

Examples:
 


 

We know that 3 times 6 is 18.

3 × 10 = 30. 

That means if the factor has been increased by 10 times so our answer will also get increased by the same number of times i.e. 10 times. 

3 × 6 = 18

30 × 6 = 180

 


 

18 ÷ 6 = 3
If the dividend is increased by ten times, the quotient will also increase by the same number of times i.e. ten times.
 

180 ÷ 6 = 30
But if the divisor is increased by ten times, then the quotient will decrease by ten times rather than increase by ten times.

For example, 20 ÷ 2 = 10
20 ÷ 20 = 1

As the divisor has increased by 10 times, the quotient has decreased by 10 times.

 

Let’s try a question:

What is 120 ÷ 6?
 

Explanation:

As we know that 6 × 2 = 12

20 is ten times larger than 2.

So,  6 × 20 will also be 10 times larger than 12 i.e. 120.

As 6 × 20 = 120, 120 ÷ 6 = 20


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