Multiplication Table Of 84
The table of 84 is the list of products you get when you multiply 84 by each whole number in turn. It is friendlier than it looks, because 84 sits at the meeting point of two tables you likely know: $84 = 12 \times 7$, and also $84 = 4 \times 21$.
Table Of 84 Up To 10
Multiplication | Product |
|---|---|
$84 \times 1$ | 84 |
$84 \times 2$ | 168 |
$84 \times 3$ | 252 |
$84 \times 4$ | 336 |
$84 \times 5$ | 420 |
$84 \times 6$ | 504 |
$84 \times 7$ | 588 |
$84 \times 8$ | 672 |
$84 \times 9$ | 756 |
$84 \times 10$ | 840 |
Table Of 84 Up To 20
Multiplication | Product |
|---|---|
$84 \times 11$ | 924 |
$84 \times 12$ | 1008 |
$84 \times 13$ | 1092 |
$84 \times 14$ | 1176 |
$84 \times 15$ | 1260 |
$84 \times 16$ | 1344 |
$84 \times 17$ | 1428 |
$84 \times 18$ | 1512 |
$84 \times 19$ | 1596 |
$84 \times 20$ | 1680 |
What Is The Table Of 84 In Words?
Reading the table aloud builds the rhythm before the numbers stick.
One times 84 is 84
Two times 84 is 168
Three times 84 is 252
Four times 84 is 336
Five times 84 is 420
Six times 84 is 504
Seven times 84 is 588
Eight times 84 is 672
Nine times 84 is 756
Ten times 84 is 840
What Is The 84 Times Table?
The 84 times table is repeated addition of 84. Each row adds one more group of eighty-four, so the table answers "how much is 84, added to itself, again and again?"
Built from the ground up, the ladder looks like this:
$84$
$84 + 84 = 168$
$84 + 84 + 84 = 252$
$84 + 84 + 84 + 84 = 336$
Multiplication is the shortcut for this stacking, which is why $84 \times 4$ and "four 84s added together" both give 336.
What Are The Multiples Of 84?
The multiples of 84 are the numbers you reach by skip-counting in 84s. The first twenty are:
84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680.
Every entry in the table of 84 is a multiple of 84, and each one is also a multiple of 12, of 7, of 4, of 6, of 21, and of the 14 times table, because all of those divide 84. Every product is even, since 84 is even, and every product's digits sum to a multiple of 3.
How To Learn The 84 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its rows into recall. The table of 84 is rich in factors, so almost every row can be rebuilt from a smaller table you already own. Seeing those routes is the number sense that algebra later builds on.
Every pattern below comes from how 84 is composed: $84 = 12 \times 7 = 4 \times 21 = 80 + 4$.
Pattern 1: The 84s are the 12s times seven (or the 7s times twelve). Because $84 = 12 \times 7$, you can reach any row through the 12 times table or the 7 times table. For $84 \times 5$: $12 \times 5 = 60$, then $60 \times 7 = 420$.
Pattern 2: Split the multiplier by place value. Read 84 as $80 + 4$. For $84 \times 6$: $80 \times 6 = 480$ and $4 \times 6 = 24$, so $480 + 24 = 504$. That is the distributive idea you meet again as $84(80 + 4)$ in algebra.
Pattern 3: Four twenty-ones, or double the 42s. Because $84 = 4 \times 21$, every multiple of 84 is four times the matching multiple of 21. And because $84 = 2 \times 42$, it is also double the 42s, so you can reuse whichever table is closer to hand.
Pattern 4: Every product is even, with digits summing to a multiple of 3. Since 84 is even and divisible by 3, so is every row. A product that comes out odd, or whose digits do not sum to a multiple of 3, is wrong. Check $84 \times 9 = 756$: it is even, and $7 + 5 + 6 = 18$.
How Do You Read And Use The Table Of 84?
Read each row left to right: $84 \times 6 = 504$ is "84 multiplied six times gives five hundred four." The first number is the group size, the second is the count of groups, and the product is the total.
To find how many times you multiply 84 to reach a target like 840, count the multiples or divide: $840 \div 84 = 10$. To work a fresh row, split 84 into $80 + 4$, multiply each part, and add. The factor routes are your safety net, so if a row slips, rebuild it through the 12s or the 7s rather than adding 84s one at a time.
Where Does The Table Of 84 Appear?
Eighty-four is the arithmetic of weeks and dozens. There are exactly 84 days in 12 weeks, since $7 \times 12 = 84$, so any 12-week plan or term counts its days on this table. It is also seven dozen ($7 \times 12$), which is why bulk packing in dozens lands here, and it appears in seating grids, in an $84^\circ$ angle, and in three-and-a-half days measured in hours ($24 \times 3.5$), so anyone scheduling a quarter-year or packing by the dozen is reading off this table.
Solved Examples Of The Table Of 84
Example 1
What is $84 \times 6$?
Split by place value: $80 \times 6 = 480$ and $4 \times 6 = 24$.
$480 + 24 = 504$
Final answer: $84 \times 6 = 504$.
Example 2
A carton holds 84 tins arranged as 12 rows of 7. How many tins in 3 cartons?
Wrong attempt. The rusher splits 84 as $8 + 4$ and works $(8 \times 3) + (4 \times 3) = 24 + 12 = 36$.
Why it breaks. Splitting 84 as $8 + 4$ throws away place value; the 8 is eighty, not eight. Three cartons of 84 tins must be in the hundreds, not 36.
Correct. Read 84 as $80 + 4$: $(80 \times 3) + (4 \times 3) = 240 + 12 = 252$.
$84 \times 3 = 252$
Final answer: 252 tins.
Example 3
Find $84 \times 12$.
Split it: $84 \times 10 = 840$ and $84 \times 2 = 168$.
$840 + 168 = 1008$
Final answer: $84 \times 12 = 1008$.
Example 4
$84 \times {?} = 756$.
Divide to find the missing factor: $756 \div 84 = 9$.
Final answer: $84 \times 9 = 756$.
Example 5
A 12-week course runs 7 days a week. How many days is that, and how many days across 5 such courses?
One course is $7 \times 12 = 84$ days, so five courses are $84 \times 5 = 420$ days.
Final answer: 420 days.
What Are Common Mistakes With The Table Of 84?
Mistake 1: Splitting 84 as 8 + 4 instead of 80 + 4
Where it slips in: Breaking 84 into its digits and losing the place value of the 8.
Don't do this: Writing $84 \times 3 = (8 \times 3) + (4 \times 3) = 36$.
The correct way: The 8 stands for 80, so split as $80 + 4$: $(80 \times 3) + (4 \times 3) = 240 + 12 = 252$.
Mistake 2: Ending on an odd product
Where it slips in: Miscopying a carry so the row comes out odd.
Don't do this: Writing $84 \times 7 = 587$ (odd, so impossible for this table).
The correct way: Every multiple of 84 is even; $84 \times 7 = 588$. If a product is odd, recheck it.
Practice Questions On The Table Of 84
$84 \times 4 = {?}$
$84 \times 8 = {?}$
Fill in the blank: $84 \times {?} = 840$.
A tray holds 84 eggs. How many eggs on 6 trays?
$84 \times 11 = {?}$
Which is larger, $84 \times 7$ or $84 \times 6$?
$84 \times 20 = {?}$
A box packs 84 screws. How many screws in 9 boxes?
Answers: 1. 336 2. 672 3. 10 4. 504 5. 924 6. $84 \times 7 = 588$ is larger 7. 1680 8. 756.
Conclusion
The table of 84 rewards a factor-first habit: reach any row through the 12s times seven, or split 84 into 80 plus 4, and confirm the product is even with digits summing to a multiple of 3. Learn those routes and you rebuild the table instead of storing it.
To turn factor thinking into confident mental maths with a teacher, explore mental maths for kids sessions or work with an elementary math tutor, and see the same reasoning across our 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 in one range hub.
4 times table - a factor of 84, since $84 = 4 \times 21$.
6 times table - another factor, since $84 = 6 \times 14$.
Table of 21 - the partner factor to 4 in $84 = 4 \times 21$.
How to teach multiplication - pattern-first ways to introduce larger tables.
Math is Fun — Multiplication Tables - an external reference chart.
Was this article helpful?
Your feedback helps us write better content