Multiplication Table Of 37
The table of 37 is the list of products you get when you multiply 37 by each whole number in turn. Since 37 is a prime number, it has no factor pair to split, so the reliable route is the place-value split $37 = 30 + 7$.
Table Of 37 Up To 10
Multiplication | Product |
|---|---|
$37 \times 1$ | 37 |
$37 \times 2$ | 74 |
$37 \times 3$ | 111 |
$37 \times 4$ | 148 |
$37 \times 5$ | 185 |
$37 \times 6$ | 222 |
$37 \times 7$ | 259 |
$37 \times 8$ | 296 |
$37 \times 9$ | 333 |
$37 \times 10$ | 370 |
Table Of 37 Up To 20
Readers often ask what the table of 37 looks like past ten. It keeps rising by 37 each step, all the way to 37 × 20 = 740.
Multiplication | Product |
|---|---|
$37 \times 11$ | 407 |
$37 \times 12$ | 444 |
$37 \times 13$ | 481 |
$37 \times 14$ | 518 |
$37 \times 15$ | 555 |
$37 \times 16$ | 592 |
$37 \times 17$ | 629 |
$37 \times 18$ | 666 |
$37 \times 19$ | 703 |
$37 \times 20$ | 740 |
What Is The Table Of 37 In Words?
Reading the table aloud builds the rhythm before the numbers stick.
One times 37 is 37
Two times 37 is 74
Three times 37 is 111
Four times 37 is 148
Five times 37 is 185
Six times 37 is 222
Seven times 37 is 259
Eight times 37 is 296
Nine times 37 is 333
Ten times 37 is 370
What Is The 37 Times Table?
The 37 times table is repeated addition of 37. Each row adds one more group of thirty-seven, so the table answers "how much is thirty-seven, stacked again and again?"
Built from the ground up, the ladder looks like this:
$37$
$37 + 37 = 74$
$37 + 37 + 37 = 111$
$37 + 37 + 37 + 37 = 148$
Multiplication is the shortcut for this stacking, which is why $37 \times 4$ and "four thirty-sevens added together" both give 148.
What Are The Multiples Of 37?
The multiples of 37 are the numbers you reach by skip-counting in thirty-sevens. The first twenty are:
37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740.
Every entry in the table of 37 is a multiple of 37, and none of them shares a smaller factor with 37 other than 1, because 37 is prime. That is why the products never fall into a tidy "add a zero" shape the way round-number tables do.
How To Learn The 37 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its rows into recall. The 37 times table looks intimidating because 37 is prime, but three patterns let you rebuild any row by reasoning, and that structure is the number sense algebra later leans on.
Every pattern below comes from how 37 sits between the numbers you already know: $37 = 30 + 7$, and $3 \times 37 = 111$.
Pattern 1: Split 37 into 30 and 7. Because $37 = 30 + 7$, every row is the matching row of the 30s plus the matching row of the 7 times table. For $37 \times 6$: $30 \times 6 = 180$ and $7 \times 6 = 42$, so $180 + 42 = 222$. This is the distributive idea $37 \times 6 = (30 + 7) \times 6$ that returns in algebra.
Pattern 2: The 111 shortcut. Since $3 \times 37 = 111$, every multiple of 37 that is also a multiple of 3 is a repdigit: $37 \times 3 = 111$, $37 \times 6 = 222$, $37 \times 9 = 333$, on to $37 \times 27 = 999$. You can rebuild those rows on sight.
Pattern 3: Round to 40, then step back. Because $37 = 40 - 3$, a row can be found as $40n - 3n$. For $37 \times 8$: $40 \times 8 = 320$, minus $3 \times 8 = 24$, gives 296. The units digits of the products also march in the same 7, 4, 1, 8, 5, 2, 9, 6, 3, 0 cycle as the sevens, because 37 ends in 7.
How Do You Read And Use The Table Of 37?
Read each row left to right: $37 \times 6 = 222$ is "thirty-seven taken six times gives two hundred twenty-two." The first number is the group size, the second is how many groups, and the product is the total.
To learn it, say the rows in order once to feel the +37 rhythm, then quiz yourself in shuffled order so you are rebuilding facts rather than reciting a chant. When a row slips, fall back on the $30 + 7$ split, which never fails you.
Where Does The Table Of 37 Appear?
Thirty-seven is a classic prime "counting" number. Human body temperature is close to 37 degrees Celsius, so any chart tracking readings across days multiplies on this table, and a work roster of 37 hours scales the same way across several weeks. It also turns up wherever the 111 pattern is useful, such as quick checks that a three-digit repdigit like 555 is divisible by 37.
Solved Examples Of The Table Of 37
Example 1
What is $37 \times 6$?
Split 37 into 30 and 7.
$30 \times 6 = 180$
$7 \times 6 = 42$
$180 + 42 = 222$
Final answer: $37 \times 6 = 222$.
Example 2 (Wrong path first)
A hall has 37 chairs in each row. How many chairs are in 9 rows?
Wrong attempt. The rusher rounds 37 up to 40 and calls it $40 \times 9 = 360$.
Why it breaks. Rounding 37 to 40 adds 3 extra to every row, so nine rows are overcounted by $3 \times 9 = 27$. The real total must be 27 less than 360.
Correct. $360 - 27 = 333$, which is also the tidy repdigit $37 \times 9$.
Final answer: 333 chairs.
Example 3
Find $37 \times 3$.
Use the repdigit pattern directly.
$37 \times 3 = 111$
Final answer: $37 \times 3 = 111$.
Example 4
$37 \times {?} = 259$.
Divide to find the missing factor: $259 \div 37 = 7$.
Final answer: $37 \times 7 = 259$.
Example 5
Find $37 \times 12$.
Split the multiplier: $37 \times 10 = 370$ and $37 \times 2 = 74$.
$370 + 74 = 444$
Final answer: $37 \times 12 = 444$.
What Are Common Mistakes With The Table Of 37?
Mistake 1: Rounding to 40 without adjusting
Where it slips in: Students first meeting a prime-number table reach for a round number, turning 37 into 40 and then forgetting the correction.
Don't do this: Writing $37 \times 8 = 320$ (that is $40 \times 8$, not $37 \times 8$).
The correct way: Take $40 \times 8 = 320$, then subtract $3 \times 8 = 24$, giving $37 \times 8 = 296$.
Mistake 2: Treating the 111 pattern as every row
Where it slips in: After seeing 111, 222, 333, a learner assumes every row is a repdigit.
Don't do this: Guessing $37 \times 4 = 444$.
The correct way: The repdigit shortcut only fires when the multiplier is a multiple of 3. For $37 \times 4$, use the split: $148$. The 444 belongs to $37 \times 12$.
Practice Questions On The Table Of 37
$37 \times 3 = {?}$
$37 \times 5 = {?}$
Fill in the blank: $37 \times {?} = 296$.
A shelf holds 37 books. How many books on 6 such shelves?
$37 \times 11 = {?}$
Which is larger, $37 \times 7$ or $37 \times 6$?
$37 \times 20 = {?}$
Is 37 a prime number?
Answers: 1. 111 2. 185 3. 8 4. 222 5. 407 6. $37 \times 7 = 259$ is larger 7. 740 8. Yes, 37 is prime.
Conclusion
The table of 37 stops being scary once you stop trying to recall it and start rebuilding it: split 37 into 30 and 7, lean on the 111 repdigit shortcut, or round to 40 and step back. To take number sense further with a teacher, explore Bhanzu's mental maths for kids sessions or an elementary math tutor, and build calculation speed with structured speed math practice.
Read More
Multiplication Tables - the master hub linking every times table in one place.
Tables from 1 to 20 - every chart from 2 to 20 together.
3 times table - the root of the 111 pattern, since 3 × 37 = 111.
Table of 36 - the neighbour one step below 37.
Table of 38 - the neighbour one step above 37.
Prime Numbers - why 37, being prime, has no factor shortcut.
Math is Fun — Multiplication Tables - an external reference chart.
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