Multiplication Calculator - Multiply Numbers Online

Step-by-Step Examples

Example 1: Basic Multiplication

Problem: 12 x 8

12 x 8 ----- 96

Step 1: 8 x 2 (ones) = 16, write 6, carry 1

Step 2: 8 x 1 (tens) = 8, add carry = 9

Result: 96

Example 2: Two-Digit by Two-Digit

Problem: 23 x 14

23 x 14 -------- 92 (23 x 4) + 23 (23 x 10) -------- 322

Step 1: Multiply 23 x 4 = 92

Step 2: Multiply 23 x 1 (tens place) = 230

Step 3: Add partial products: 92 + 230 = 322

Result: 322

Example 3: Multiplying Three Numbers

Problem: 4 x 5 x 6

Step 1: Multiply first two: 4 x 5 = 20

Step 2: Multiply result by third: 20 x 6 = 120

Result: 120

Note: Due to the associative property, (4 x 5) x 6 = 4 x (5 x 6) = 120

Example 4: Multiplication with Decimals

Problem: 2.5 x 4

Step 1: Ignore decimal: 25 x 4 = 100

Step 2: Count decimal places: 1 place

Step 3: Place decimal: 10.0

Result: 10

Example 5: Large Number Multiplication

Problem: 156 x 47

156 x 47 --------- 1092 (156 x 7) + 624 (156 x 40) --------- 7332

Step 1: 156 x 7 = 1092

Step 2: 156 x 40 = 6240

Step 3: 1092 + 6240 = 7332

Result: 7,332

Multiplication Times Table (1-10)

x

1

2

3

4

5

1

2

3

4

5

2

4

6

8

10

3

6

9

12

15

4

8

12

16

20

5

10

15

20

25

About Multiplication

Multiplication is repeated addition. When you multiply 4 x 3, you're adding 4 three times: 4 + 4 + 4 = 12.

Key Terms

Product: The result of a multiplication problem
Factors: The numbers being multiplied together
Multiple: A number that can be divided by another number without a remainder

Properties of Multiplication

Commutative Property: a x b = b x a (order doesn't matter)
Associative Property: (a x b) x c = a x (b x c) (grouping doesn't matter)
Identity Property: a x 1 = a (multiplying by 1 doesn't change the number)
Zero Property: a x 0 = 0 (multiplying by 0 always equals 0)
Distributive Property: a x (b + c) = (a x b) + (a x c)

Tips for Mental Multiplication

Multiply by 10 by adding a zero to the end
To multiply by 5, multiply by 10 then divide by 2
Break numbers into parts: 12 x 15 = (10 x 15) + (2 x 15) = 150 + 30 = 180
Use doubling: 4 x 16 = 2 x 32 = 64