Multiplication Table Of 72
The table of 72 is the list of products you get when you multiply 72 by each whole number in turn. Since $72 = 8 \times 9$, every row is a multiple of both 8 and 9, which is why the products are always even.
Table Of 72 Up To 10
Multiplication | Product |
|---|---|
$72 \times 1$ | 72 |
$72 \times 2$ | 144 |
$72 \times 3$ | 216 |
$72 \times 4$ | 288 |
$72 \times 5$ | 360 |
$72 \times 6$ | 432 |
$72 \times 7$ | 504 |
$72 \times 8$ | 576 |
$72 \times 9$ | 648 |
$72 \times 10$ | 720 |
Table Of 72 Up To 20
Multiplication | Product |
|---|---|
$72 \times 11$ | 792 |
$72 \times 12$ | 864 |
$72 \times 13$ | 936 |
$72 \times 14$ | 1008 |
$72 \times 15$ | 1080 |
$72 \times 16$ | 1152 |
$72 \times 17$ | 1224 |
$72 \times 18$ | 1296 |
$72 \times 19$ | 1368 |
$72 \times 20$ | 1440 |
What Is The Table Of 72 In Words?
Reading the table aloud builds the rhythm before the numbers stick.
One times 72 is 72
Two times 72 is 144
Three times 72 is 216
Four times 72 is 288
Five times 72 is 360
Six times 72 is 432
Seven times 72 is 504
Eight times 72 is 576
Nine times 72 is 648
Ten times 72 is 720
What Is The 72 Times Table?
The 72 times table is repeated addition of 72. Each row stacks one more group of seventy-two, so the table answers "how much is 72, added to itself, again and again?"
Built from the ground up, the ladder looks like this:
$72$
$72 + 72 = 144$
$72 + 72 + 72 = 216$
$72 + 72 + 72 + 72 = 288$
Multiplication is the shortcut for this stacking, which is why $72 \times 4$ and "four seventy-twos added together" both give 288.
What Are The Multiples Of 72?
The multiples of 72 are the numbers you land on by skip-counting in seventy-twos. The first twenty multiples are:
72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440.
Every entry in the table of 72 is a multiple of 72, and because $72 = 8 \times 9$, each one is also a multiple of the 8 times table and the 9 times table. That shared parentage is why every product is even and why the digit sums keep returning to nine.
How To Learn The 72 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall. The 72 table is built entirely from tables 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 72 is composed: $72 = 70 + 2$ and $72 = 8 \times 9$.
Pattern 1: Split 72 into 70 and 2. Because $72 = 70 + 2$, every row splits by place value, so $72 \times n = 70n + 2n$. For $72 \times 7$: $70 \times 7 = 490$ and $2 \times 7 = 14$, giving $490 + 14 = 504$.
Pattern 2: Reuse the 8 and 9 tables. Since $72 = 8 \times 9$, every product is a nines fact scaled by eight. For $72 \times 4$: take $9 \times 4 = 36$, then $36 \times 8 = 288$. The 12 times table gives a second route, since $72 = 6 \times 12$.
Pattern 3: The units digit cycles 2, 4, 6, 8, 0. Every multiple of 72 is even, and the last digit steps through 2, 4, 6, 8, 0 and repeats. So $72 \times 9$ ends in 8 and $72 \times 10$ ends in 0, a quick check before you trust an answer.
Pattern 4: Anchor on 720, then double or halve. Once $72 \times 10 = 720$ is fixed, $72 \times 20$ is just double, so $720 + 720 = 1440$, and $72 \times 5$ is half of 720, which is 360. The ×10 row is the anchor the rest hang from.
How Do You Read And Use The Table Of 72?
Read each row left to right: $72 \times 6 = 432$ is "seventy-two taken six times gives four hundred thirty-two." The first number is the group size, the second is how many groups, and the product is the total.
To learn it, recite the rows in order until the rhythm sets, then quiz yourself out of order so you are recalling facts, not chanting them. If a row slips, rebuild it from the 70-plus-2 split rather than guessing.
Where Does The Table Of 72 Appear?
Seventy-two shows up wherever a fixed rate of 72 repeats. A drummer holding 72 beats per minute plays 72 beats each minute, so the table of 72 counts beats across a whole song. It also appears in geometry, where a regular pentagon turns through an exterior angle of 72 degrees at each corner, in packing counts of 72-unit cartons, and in any measurement that steps up 72 at a time, which turns the table into a real reckoning tool rather than a homework list.
Solved Examples Of The Table Of 72
Example 1
What is $72 \times 7$?
Split by place value: $70 \times 7 = 490$ and $2 \times 7 = 14$.
$490 + 14 = 504$
Final answer: $72 \times 7 = 504$.
Example 2 (Wrong path first)
A pallet holds 72 tins. How many tins are on 8 pallets?
Wrong attempt. The rusher multiplies only the 2, reads $72 \times 8$ as $2 \times 8 = 16$, and stops.
Why it breaks. Eight pallets of seventy-two must hold hundreds of tins, so 16 is smaller than a single pallet and cannot be right.
Correct. Split it: $70 \times 8 = 560$ and $2 \times 8 = 16$, then add.
$560 + 16 = 576$
Final answer: 576 tins.
Example 3
Find $72 \times 12$.
Split the multiplier: $72 \times 10 = 720$ and $72 \times 2 = 144$.
$720 + 144 = 864$
Final answer: $72 \times 12 = 864$.
Example 4
$72 \times {?} = 648$.
Divide to find the missing factor: $648 \div 72 = 9$.
Final answer: $72 \times 9 = 648$.
Example 5
A bus seats 72 people. How many seats are on 15 buses?
Use the anchor: $72 \times 10 = 720$ and $72 \times 5 = 360$.
$720 + 360 = 1080$
Final answer: 1080 seats.
What Are Common Mistakes With The Table Of 72?
Mistake 1: Multiplying only part of 72
Where it slips in: Students meeting the 72 table for the first time often multiply the 2 and forget the 70 sitting beside it.
Don't do this: Writing $72 \times 6 = 12$ from the bare $2 \times 6$.
The correct way: Multiply both parts: $70 \times 6 = 420$ and $2 \times 6 = 12$, so $72 \times 6 = 432$.
Mistake 2: Expecting a product to end in an odd digit
Where it slips in: A learner rushes a row and lands on an odd units digit without checking.
Don't do this: Writing $72 \times 3 = 215$, which ends in an odd 5.
The correct way: Every multiple of 72 is even, so the units digit must be 2, 4, 6, 8, or 0. The right answer is $72 \times 3 = 216$.
Practice Questions On The Table Of 72
$72 \times 4 = {?}$
$72 \times 9 = {?}$
Fill in the blank: $72 \times {?} = 864$.
A box holds 72 crayons. How many crayons are in 6 boxes?
$72 \times 11 = {?}$
Which is larger, $72 \times 7$ or $72 \times 8$?
$72 \times 20 = {?}$
A hall has 72 seats per row. How many seats fill 14 rows?
Answers: 1. 288 2. 648 3. 12 4. 432 5. 792 6. $72 \times 8 = 576$ is larger 7. 1440 8. 1008.
Conclusion
The table of 72 is not a wall of facts to store. It is the 70-plus-2 split, the 8-and-9 factor pair, and the 720 anchor, and those three patterns rebuild any row on demand. To turn that understanding into fluent recall, explore mental maths for kids, work through a few sessions with an elementary math tutor, or browse structured math programs for kids.
Read More
Multiplication Tables - the master hub for every times table in one place.
Tables from 1 to 20 - every chart from 2 to 20 together.
Table of 36 - half of 72, since $72 = 2 \times 36$.
Table of 70 - the round-number neighbour behind the place-value split.
24 times table - a factor of 72, since $72 = 24 \times 3$.
How to teach multiplication - a parent's guide to building table fluency.
Math is Fun — Multiplication Tables - a printable external reference.
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