 # Multiplying Integers and Dividing Integers

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In these lessons, we will learn how to multiply and divide integers using rules.

The following diagram shows the rule to multiply and divide integers. Scroll down the page for more examples and solutions on multiplying and dividing integers. What will be the sign for the product when we multiply 2 integers together, for example ( - 2) × (+3)?

When multiplying signed integers, the following rules for signs apply:

(+) × (+) = (+)
(+) × (−) = (−)
(−) × (+) = (−)
(−) × (−) = (+)

Example:

(+2) × (+3) = +6
(+2) × (–3) = –6
(–2) × (+3) = –6
(–2) × (–3) = +6

Recall that any number multiplied by 0 will result in 0.

Example :

4 × 0 = 0
0 × (–103) = 0

Example:

Calculate the following:

a) (–7) × (–2) =
b) 5 × (–3) × (–3) =
c) (–4) × (–3) × (–2) =

Solution:

a) (–7) × (–2) = 14
b) 5 × (–3) × (–3)
= (–15) × (–3)
= 45

c) (–4) × (–3) × (–2)
= 12 × (–2)
= –24

### Dividing Integers

When we dividing integers, the similar rules for signs apply:

(+) ÷ (+) = (+)
(+) ÷ (−) = (−)
(−) ÷ (+) = (−)
(−) ÷ (−) = (+)

Example:

(+6) ÷ (+2) = +3
(+6) ÷ (–2) = –3
(–6) ÷ (+2) = –3
(–6) ÷ (–2) = +3

Example:

Calculate the following:

a) (–8) ÷ (–2) =
b) (12) ÷ (–4) =

Solution:

a) (–8) ÷ (–2) = 4
b) (12) ÷ (–4) = –3

Multiply and Divide Integers Examples of multiplying and dividing negative numbers

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  