Multiplication of two five digit
numbers
Suppose we have to multiply two 5 digit
numbers like
3 5 4 1 2
x 2 6 3 4 1
--------------------------
To multiply these numbers take the
first digits from left of both numbers, multiply them and put it for
the right end of the result.
3 5 4 1 2
x 2 6 3 4 1
-------------------------- 3x2=6
6
Take the next 2 digits one by one also
to the box and cross multiply the digits and add the sum and place it
as the next digit of result.. push carry to the first digit just in
case
3 5 4 1 2
x 2 6 3 4 1
-------------------------- 3x6 +
5x2 =18+10 =28
2
6 8
3 5 4 1 2
x 2 6 3 4 1
-------------------------- 3x3 +
4x2 + 5x6 = 9+8+30 =47
2 4
6 8 7
3 5 4 1 2
x 2 6 3 4 1
-------------------------- 3x4 +
1x2 + 5x3 +6x4 = 12+2+15+24 =53
2 4 5
6 8 7 3
3 5 4 1 2
x 2 6 3 4 1
-------------------------- 3x1 +
2x2 + 5x4 +6x1+ 4x3 = 3+4+20+6+12 = 45
2 4 5 4
6 8 7 3 5
3 5 4 1 2
x 2 6 3 4 1
-------------------------- 5x1 + 6x2 + 4x4 +3x1 = 5+12+16+3 = 36
2 4 5 4 3
6 8 7 3 5 6
3 5 4 1 2
x2 6 3 4 1
-------------------------- 4x1 + 3x2 + 4x1 = 4+6+4 = 14
2 4 5 4 3 1
6 8 7 3 5 6 4
3 5 4 1 2
x2 6 3 4 1
-------------------------- 1x1 + 4x2 = 1+8 = 9
2 4 5 4 3 1
6 8 7 3 5 6 4 9
3 5 4 1 2
x2 6 3 4 1
-------------------------- 2x1 = 2
2 4 5 4 3 1
6 8 7 3 5 6 4 9 2
Now add the carry to get the answer
1 1
2 4 5 4 3 1
6 8 7 3 5 6 4 9 2
---------------------------------
9 3 2 7 8 7 4 9 2
---------------------------------
so answer is 932787492
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