Multiplication Table Of 67
The table of 67 is the list of products you get when you multiply 67 by each whole number in turn. It is one of the trickier two-digit tables, because 67 is a prime number, so there is no clean factor pair to lean on and you build each row from place value instead.
Table Of 67 Up To 10
Multiplication | Product |
|---|---|
$67 \times 1$ | 67 |
$67 \times 2$ | 134 |
$67 \times 3$ | 201 |
$67 \times 4$ | 268 |
$67 \times 5$ | 335 |
$67 \times 6$ | 402 |
$67 \times 7$ | 469 |
$67 \times 8$ | 536 |
$67 \times 9$ | 603 |
$67 \times 10$ | 670 |
Table Of 67 Up To 20
Multiplication | Product |
|---|---|
$67 \times 11$ | 737 |
$67 \times 12$ | 804 |
$67 \times 13$ | 871 |
$67 \times 14$ | 938 |
$67 \times 15$ | 1005 |
$67 \times 16$ | 1072 |
$67 \times 17$ | 1139 |
$67 \times 18$ | 1206 |
$67 \times 19$ | 1273 |
$67 \times 20$ | 1340 |
What Is The Table Of 67 In Words?
Saying the table aloud builds the +67 rhythm before the digits settle.
One times 67 is 67
Two times 67 is 134
Three times 67 is 201
Four times 67 is 268
Five times 67 is 335
Six times 67 is 402
Seven times 67 is 469
Eight times 67 is 536
Nine times 67 is 603
Ten times 67 is 670
What Is The 67 Times Table?
The 67 times table is repeated addition of 67. Each row adds one more sixty-seven, so the table answers "how much is sixty-seven, added to itself, again and again?"
Built from the ground up, the ladder looks like this:
$67$
$67 + 67 = 134$
$67 + 67 + 67 = 201$
$67 + 67 + 67 + 67 = 268$
Because 67 is a prime, it shares no common factor with the counting numbers, so multiplication is the only shortcut for that stacking, and $67 \times 4$ and "four sixty-sevens added together" both give 268.
What Are The Multiples Of 67?
The multiples of 67 are the numbers you land on when you skip-count in sixty-sevens. The first twenty are:
67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1005, 1072, 1139, 1206, 1273, 1340.
Every entry in the table of 67 is a multiple of 67, and because 67 is a prime number, none of these values appear in any smaller table except the 1 table. That is what "prime" means: 67 has exactly two divisors, 1 and itself.
How To Learn The 67 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall. A prime like 67 has no factor pair to borrow from, but it still has structure, so a student can rebuild any row by reasoning instead of memorizing it. Working with a "hard" prime table is where place-value thinking and estimation really sharpen, and both carry straight into algebra.
Every pattern below comes from how 67 is written: $67 = 60 + 7$, and $67 = 70 - 3$.
Pattern 1: Split by place value. Read 67 as $60 + 7$, so $67 \times n = 60n + 7n$. For $67 \times 6$: $60 \times 6 = 360$ and $7 \times 6 = 42$, giving $360 + 42 = 402$.
Pattern 2: Round up to 70, then subtract. Because $67 = 70 - 3$, you get $67 \times n = 70n - 3n$. For $67 \times 8$: $70 \times 8 = 560$ and $3 \times 8 = 24$, so $560 - 24 = 536$.
Pattern 3: The ones digits follow the sevens. Since 67 ends in 7, the units digits of its multiples run 7, 4, 1, 8, 5, 2, 9, 6, 3, 0, exactly like the 7 times table. A wrong ones digit is an instant signal to recheck.
Pattern 4: Climb by adding 67. Each row is the one above it plus 67, so if a fact slips you rebuild it from the neighbour you already trust rather than guessing.
How Do You Read And Use The Table Of 67?
Read each row left to right: $67 \times 6 = 402$ is "sixty-seven taken six times gives four hundred two." The first number is the group size, the second is how many groups, and the product is the total.
To learn it, work up the ladder adding 67 and check each answer's ones digit against the 7-cycle, then quiz yourself out of order. The round-up-to-70 method is your safety net, so if a row slips, rebuild it from 70n and subtract the 3n.
Where Does The Table Of 67 Appear?
Because 67 is prime, it rarely tiles into neat everyday groupings the way 10 or 12 do, and that scarcity is itself the point: primes are the numbers that refuse to split. In number theory 67 is a Chen prime, meaning $67 + 2 = 69$ is a product of two primes ($3 \times 23$), a fact tied to the Goldbach conjecture. It also turns up as a plain count, such as a price of 67 rupees across several items or the atomic number of holmium, where the table of 67 does the scaling.
Solved Examples Of The Table Of 67
Example 1
What is $67 \times 6$?
Split 67 into $60 + 7$.
$60 \times 6 = 360$
$7 \times 6 = 42$
$360 + 42 = 402$
Final answer: $67 \times 6 = 402$.
Example 2
A shelf holds 67 books. How many books fill 8 identical shelves?
Wrong attempt. The rusher multiplies only the tens, $60 \times 8 = 480$, and stops there.
Why it breaks. Each shelf also carries 7 books beyond the sixty, so eight shelves hide another $7 \times 8 = 56$ books that 480 leaves out.
Correct. Add the units part back in.
$480 + 56 = 536$
Final answer: 536 books.
Example 3
Find $67 \times 15$.
Split it: $67 \times 10 = 670$ and $67 \times 5 = 335$.
$670 + 335 = 1005$
Final answer: $67 \times 15 = 1005$.
Example 4
$67 \times {?} = 938$.
Divide to find the missing factor: $938 \div 67 = 14$.
Final answer: $67 \times 14 = 938$.
Example 5
Use the round-up method to find $67 \times 9$.
Write 67 as $70 - 3$, so $67 \times 9 = (70 \times 9) - (3 \times 9)$.
$630 - 27 = 603$
Final answer: $67 \times 9 = 603$.
What Are Common Mistakes With The Table Of 67?
Mistake 1: Multiplying only the tens
Where it slips in: Splitting 67 into $60 + 7$ but forgetting to add the $7n$ part.
Don't do this: Writing $67 \times 6 = 360$ (just the $60 \times 6$).
The correct way: Add both parts: $360 + 42 = 402$. The units digit carries real weight in a prime table.
Mistake 2: Rounding to 70 and forgetting to subtract
Where it slips in: Using the $70 - 3$ shortcut but leaving off the $3n$ correction.
Don't do this: Answering $67 \times 8 = 560$.
The correct way: $67 \times 8 = 560 - 24 = 536$. Rounding up means you always owe the subtraction back.
Practice Questions On The Table Of 67
$67 \times 3 = {?}$
$67 \times 7 = {?}$
Fill in the blank: $67 \times {?} = 670$.
A box packs 67 tiles. How many tiles in 5 boxes?
$67 \times 11 = {?}$
Which is larger, $67 \times 9$ or $67 \times 8$?
$67 \times 20 = {?}$
Use the $70 - 3$ method to find $67 \times 4$.
Answers: 1. 201 2. 469 3. 10 4. 335 5. 737 6. $67 \times 9 = 603$ is larger 7. 1340 8. 268.
Conclusion
The table of 67 shows what a prime table really is: a sequence with no round-number crutch, from $67 \times 10 = 670$ to $67 \times 20 = 1340$, that you rebuild with the split-into-$60 + 7$ and round-up-to-70 patterns instead of raw recall. Learning a hard table this way is exactly the estimation and place-value muscle that later math rewards. To keep strengthening that number sense with a teacher, explore our mental maths for kids sessions or work one-on-one with an elementary math tutor.
Read More
Multiplication Tables - the master hub linking every times table in one place.
Tables from 1 to 20 - the core facts that make bigger tables easier to build.
Table of 68 - the very next number, a composite table for contrast with this prime.
Table of 42 - another two-digit table, but one with a tidy factor pair.
Mental math tricks - round-and-adjust shortcuts that suit awkward numbers like 67.
Math is Fun — Multiplication Tables - an external printable reference.
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