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long multiplication 123456×123456
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Solution
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Solution steps
Solve by:
One step at a time
123456×123456
Line up the numbers
1
2
3
4
5
6
×
1
2
3
4
5
6
Multiply the top number by the bottom number one digit at a time starting with the ones digit (from right to left)
Multiply the top number by the bolded digit of the bottom number
1
2
3
4
5
6
×
1
2
3
4
5
6
Mutliply the bold numbers: 6×6=36
Carry 3 to the column on the left and write 6 in the result line
3
1
2
3
4
5
6
×
1
2
3
4
5
6
6
Add the carried number to the multiplication: 3+5×6=33
Carry 3 to the column on the left and write 3 in the result line
3
3
1
2
3
4
5
6
×
1
2
3
4
5
6
3
6
Add the carried number to the multiplication: 3+4×6=27
Carry 2 to the column on the left and write 7 in the result line
2
3
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
3
6
Add the carried number to the multiplication: 2+3×6=20
Carry 2 to the column on the left and write 0 in the result line
2
2
3
3
1
2
3
4
5
6
×
1
2
3
4
5
6
0
7
3
6
Add the carried number to the multiplication: 2+2×6=14
Carry 1 to the column on the left and write 4 in the result line
1
2
2
3
3
1
2
3
4
5
6
×
1
2
3
4
5
6
4
0
7
3
6
Add the carried number to the multiplication: 1+1×6=7
1
2
2
3
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
Multiply the top number by the bolded digit of the bottom number
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
Mutliply the bold numbers: 6×5=30
Carry 3 to the column on the left and write 0 in the result line
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
0
Add the carried number to the multiplication: 3+5×5=28
Carry 2 to the column on the left and write 8 in the result line
2
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
8
0
Add the carried number to the multiplication: 2+4×5=22
Carry 2 to the column on the left and write 2 in the result line
2
2
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
2
8
0
Add the carried number to the multiplication: 2+3×5=17
Carry 1 to the column on the left and write 7 in the result line
1
2
2
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
7
2
8
0
Add the carried number to the multiplication: 1+2×5=11
Carry 1 to the column on the left and write 1 in the result line
1
1
2
2
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
1
7
2
8
0
Add the carried number to the multiplication: 1+1×5=6
1
1
2
2
3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
Multiply the top number by the bolded digit of the bottom number
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
Mutliply the bold numbers: 6×4=24
Carry 2 to the column on the left and write 4 in the result line
2
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
Add the carried number to the multiplication: 2+5×4=22
Carry 2 to the column on the left and write 2 in the result line
2
2
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
2
4
Add the carried number to the multiplication: 2+4×4=18
Carry 1 to the column on the left and write 8 in the result line
1
2
2
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
8
2
4
Add the carried number to the multiplication: 1+3×4=13
Carry 1 to the column on the left and write 3 in the result line
1
1
2
2
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
3
8
2
4
Add the carried number to the multiplication: 1+2×4=9
1
1
2
2
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
9
3
8
2
4
Mutliply the bold numbers: 1×4=4
1
1
2
2
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
Multiply the top number by the bolded digit of the bottom number
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
Mutliply the bold numbers: 6×3=18
Carry 1 to the column on the left and write 8 in the result line
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
8
Add the carried number to the multiplication: 1+5×3=16
Carry 1 to the column on the left and write 6 in the result line
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
6
8
Add the carried number to the multiplication: 1+4×3=13
Carry 1 to the column on the left and write 3 in the result line
1
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
6
8
Add the carried number to the multiplication: 1+3×3=10
Carry 1 to the column on the left and write 0 in the result line
1
1
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
0
3
6
8
Add the carried number to the multiplication: 1+2×3=7
1
1
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
7
0
3
6
8
Mutliply the bold numbers: 1×3=3
1
1
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
Multiply the top number by the bolded digit of the bottom number
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
Mutliply the bold numbers: 6×2=12
Carry 1 to the column on the left and write 2 in the result line
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
Add the carried number to the multiplication: 1+5×2=11
Carry 1 to the column on the left and write 1 in the result line
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
1
2
Add the carried number to the multiplication: 1+4×2=9
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
9
1
2
Mutliply the bold numbers: 3×2=6
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
6
9
1
2
Mutliply the bold numbers: 2×2=4
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
4
6
9
1
2
Mutliply the bold numbers: 1×2=2
1
1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
Multiply the top number by the bolded digit of the bottom number
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
Mutliply the bold numbers: 6×1=6
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
6
Mutliply the bold numbers: 5×1=5
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
5
6
Mutliply the bold numbers: 4×1=4
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
4
5
6
Mutliply the bold numbers: 3×1=3
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
3
4
5
6
Mutliply the bold numbers: 2×1=2
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
2
3
4
5
6
Mutliply the bold numbers: 1×1=1
1
2
3
4
5
6
×
1
2
3
4
5
6
7
4
0
7
3
6
6
1
7
2
8
0
4
9
3
8
2
4
3
7
0
3
6
8
2
4
6
9
1
2
1
2
3
4
5
6
Add the rows to get the answer. For simplicity, fill in trailing zeros
