Multiply 12345 by 6: Step-by-Step Integer Multiplication

Question

$12345\times6=$

00:00 Solve

00:03 We will use the distributive law

00:13 We will break down the number into its factors by tens, hundreds, etc.

00:32 We will multiply each factor separately, then add

01:06 We will solve each multiplication and then sum

01:42 We will solve one addition operation at a time

02:05 And this is the solution to the question

In order to simplify the resolution process, we begin by breaking down the number 12345 into a smaller addition exercise:

$(10000+2000+300+40+5)\times6=$

We multiply each term inside the parentheses by 6:

$(10000\times6)+(2000\times6)+(300\times6)+(40\times6)+(5\times6)=$

We then solve each of the exercises inside of the parentheses:

$60000+12000+1800+240+30=$

Lastly we solve the exercise from left to right:

$60000+12000=72000$

$72000+1800=73800$

$73800+240=74040$

$74040+30=74070$

74070