Multiplication Table Of 108
The table of 108 is the list of products you get when you multiply 108 by each whole number in turn. Because $108 = 100 + 8$, every row is just the hundreds part plus eight times the multiplier, which makes this one of the friendlier large tables.
Table Of 108 Up To 10
Multiplication | Product |
|---|---|
$108 \times 1$ | 108 |
$108 \times 2$ | 216 |
$108 \times 3$ | 324 |
$108 \times 4$ | 432 |
$108 \times 5$ | 540 |
$108 \times 6$ | 648 |
$108 \times 7$ | 756 |
$108 \times 8$ | 864 |
$108 \times 9$ | 972 |
$108 \times 10$ | 1080 |
Table Of 108 Up To 20
Multiplication | Product |
|---|---|
$108 \times 11$ | 1188 |
$108 \times 12$ | 1296 |
$108 \times 13$ | 1404 |
$108 \times 14$ | 1512 |
$108 \times 15$ | 1620 |
$108 \times 16$ | 1728 |
$108 \times 17$ | 1836 |
$108 \times 18$ | 1944 |
$108 \times 19$ | 2052 |
$108 \times 20$ | 2160 |
What Is The Table Of 108 In Words?
Reading the table aloud builds the rhythm before the numbers stick.
One times 108 is 108
Two times 108 is 216
Three times 108 is 324
Four times 108 is 432
Five times 108 is 540
Six times 108 is 648
Seven times 108 is 756
Eight times 108 is 864
Nine times 108 is 972
Ten times 108 is 1080
What Is The 108 Times Table?
The 108 times table is repeated addition of 108. Each row adds one more group of one hundred eight, so the table answers "how much is 108, added to itself, again and again?"
Built from the ground up, the ladder looks like this:
$108$
$108 + 108 = 216$
$108 + 108 + 108 = 324$
$108 + 108 + 108 + 108 = 432$
Multiplication is the shortcut for this stacking, which is why $108 \times 4$ and "four one-hundred-eights added together" both give 432.
What Are The Multiples Of 108?
The multiples of 108 are the numbers you reach by skip-counting in one-hundred-eights. The first twenty are:
108, 216, 324, 432, 540, 648, 756, 864, 972, 1080, 1188, 1296, 1404, 1512, 1620, 1728, 1836, 1944, 2052, 2160.
Every entry in the table of 108 is a multiple of 108. Because 108 is even, every product is even, and because $108 = 9 \times 12$, the digits of every product add up to a multiple of 9 — two checks you can run on your own answer.
How To Learn The 108 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall. The table of 108 is built from parts you already know, so you can rebuild any row by reasoning instead of reciting it. Seeing that structure is the number sense that algebra later leans on.
Every pattern below comes from how 108 is composed: $108 = 100 + 8$, $108 = 12 \times 9$, and $108 = 4 \times 27$.
Pattern 1: Split by place value. Read 108 as $100 + 8$, so $108 \times n = 100n + 8n$. For $108 \times 7$: $100 \times 7 = 700$ and $8 \times 7 = 56$, and $700 + 56 = 756$.
Pattern 2: Reuse a table you already know. Because $108 = 12 \times 9$, a multiple of 108 is the matching multiple of 12 taken nine times, or the multiple of 9 taken twelve times. For $108 \times 5$: $12 \times 5 = 60$, and $60 \times 9 = 540$.
Pattern 3: Watch the units digit. Adding 108 raises the units digit by 8, which is the same as dropping it by 2, so the last digits run 8, 6, 4, 2, 0 and then repeat. Every product is even, so an odd ending means you added wrong.
Pattern 4: Check with the digit sum. Since $108 = 9 \times 12$, every product is a multiple of 9. Add the digits of your answer - for 324 that is $3 + 2 + 4 = 9$ - and if the total is not a multiple of 9, the answer is off.
How Do You Read And Use The Table Of 108?
Read each row left to right: $108 \times 6 = 648$ is "one hundred eight multiplied six times gives six hundred forty-eight." The first number is the group size, the second is the count of groups, and the product is the total.
To learn it, recite the rows and lean on the hundreds-plus-8 split as you go, then quiz yourself in shuffled order so you are recalling facts, not chanting them. If a row slips, rebuild it from $100n + 8n$ rather than guessing.
Where Does The Table Of 108 Appear?
One hundred eight is a counting number in sport and packing. A cricket ball has 108 stitches, so a batch of six balls carries $108 \times 6 = 648$ stitches, and 108 beads make one traditional mala, so five malas use $108 \times 5 = 540$ beads. It also shows up as nine dozen, since $108 = 9 \times 12$, so ordering nine dozen of anything means counting off this table.
Solved Examples Of The Table Of 108
Example 1
What is $108 \times 7$?
Split by place value: $100 \times 7 = 700$ and $8 \times 7 = 56$.
$700 + 56 = 756$
Final answer: $108 \times 7 = 756$.
Example 2 (Wrong path first)
A box holds 108 screws. How many screws are in 5 boxes?
Wrong attempt. The rusher splits 108 into $100 + 8$, multiplies the hundred, then adds a single 8: $500 + 8 = 508$.
Why it breaks. The 8 has to be counted five times, not once, so 508 leaves out four of the five batches of 8.
Correct. Multiply both parts: $100 \times 5 = 500$ and $8 \times 5 = 40$, so $500 + 40 = 540$.
Final answer: 540 screws.
Example 3
Find $108 \times 9$.
Place value: $100 \times 9 = 900$ and $8 \times 9 = 72$.
$900 + 72 = 972$
Final answer: $108 \times 9 = 972$.
Example 4
$108 \times {?} = 756$.
Divide to find the missing factor: $756 \div 108 = 7$.
Final answer: $108 \times 7 = 756$.
Example 5
A machine seals 108 packets a minute. How many in 12 minutes?
$108 \times 12 = 100 \times 12 + 8 \times 12 = 1200 + 96 = 1296$.
Final answer: 1296 packets.
What Are Common Mistakes With The Table Of 108?
Mistake 1: Adding the 8 only once
Where it slips in: Splitting 108 into $100 + 8$ and forgetting the 8 also gets multiplied by the row number.
Don't do this: Writing $108 \times 4 = 408$ (that is $100 \times 4$ with a bare 8 added).
The correct way: Multiply both parts by 4: $100 \times 4 = 400$ and $8 \times 4 = 32$, so $108 \times 4 = 432$.
Mistake 2: Confusing 108 with 18 or 100
Where it slips in: Under time pressure, a large number gets read as one of its look-alikes.
Don't do this: Answering $108 \times 3$ with $18 \times 3 = 54$.
The correct way: $108 \times 3 = 324$. The 54 belongs to the table of 18, not 108.
Practice Questions On The Table Of 108
$108 \times 4 = {?}$
$108 \times 8 = {?}$
Fill in the blank: $108 \times {?} = 972$.
A carton packs 108 tiles. How many in 6 cartons?
$108 \times 11 = {?}$
Which is larger, $108 \times 7$ or $108 \times 6$?
$108 \times 20 = {?}$
A press prints 108 labels a run. How many over 9 runs?
Answers: 1. 432 2. 864 3. 9 4. 648 5. 1188 6. $108 \times 7 = 756$ is larger 7. 2160 8. 972.
Conclusion
The table of 108 stops feeling large once you see it as a hundreds part plus an eight part, checked by the even endings and the digit-sum rule. Learn the pattern, not the list, and any row is yours to rebuild.
To take this further with a teacher, work one-to-one with an elementary math tutor or sharpen fluency through speed math practice.
Read More
Multiplication Tables - the master hub with every times table in one place.
Tables from 1 to 20 - the core tables every student needs first.
4 Times Table - a factor of 108, since $108 = 4 \times 27$.
9 Times Table - the digit-sum-of-9 rule comes straight from here.
12 Times Table - 108 is nine dozen, so this is a natural partner.
How to teach multiplication - a parent's guide to building table fluency.
Math is Fun — Multiplication Tables - a printable reference chart.
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