Multiplication Table Of 31
The table of 31 is the list of products you get when you multiply 31 by each whole number in turn. Since $31 = 30 + 1$, every row is just the matching row of the table of 30 with one more group added on.
Table Of 31 Up To 10
Multiplication | Product |
|---|---|
$31 \times 1$ | 31 |
$31 \times 2$ | 62 |
$31 \times 3$ | 93 |
$31 \times 4$ | 124 |
$31 \times 5$ | 155 |
$31 \times 6$ | 186 |
$31 \times 7$ | 217 |
$31 \times 8$ | 248 |
$31 \times 9$ | 279 |
$31 \times 10$ | 310 |
Table Of 31 Up To 20
Multiplication | Product |
|---|---|
$31 \times 11$ | 341 |
$31 \times 12$ | 372 |
$31 \times 13$ | 403 |
$31 \times 14$ | 434 |
$31 \times 15$ | 465 |
$31 \times 16$ | 496 |
$31 \times 17$ | 527 |
$31 \times 18$ | 558 |
$31 \times 19$ | 589 |
$31 \times 20$ | 620 |
What Is The Table Of 31 In Words?
Reading the table aloud builds the rhythm before the numbers stick.
One times 31 is 31
Two times 31 is 62
Three times 31 is 93
Four times 31 is 124
Five times 31 is 155
Six times 31 is 186
Seven times 31 is 217
Eight times 31 is 248
Nine times 31 is 279
Ten times 31 is 310
What Is The 31 Times Table?
The 31 times table is repeated addition of 31. Each row adds one more group of thirty-one, so the table answers "how much is thirty-one, stacked again and again?"
Built from the ground up, the ladder starts like this:
$31$
$31 + 31 = 62$
$31 + 31 + 31 = 93$
$31 + 31 + 31 + 31 = 124$
Multiplication is the shortcut for that stacking, which is why $31 \times 4$ and "four thirty-ones added" both give 124.
What Are The Multiples Of 31?
The multiples of 31 are the numbers you reach by skip-counting in thirty-ones. The first twenty are:
31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620.
Every entry in the table of 31 is a multiple of 31. And since 31 is prime, "what times what equals 31?" has only one whole-number answer, $1 \times 31$, so 31 shares no factor pair with any smaller table.
How To Learn The 31 Times Table (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall. The 31 times table grows straight out of the table of 30 you already know, so you can rebuild any row by reasoning instead of memorizing it. That structure is the number sense algebra later leans on.
Every pattern below comes from how 31 is built: $31 = 30 + 1$, and 31 is prime.
Pattern 1: Add one more group to the 30 table. Because $31 = 30 + 1$, every multiple of 31 is the matching multiple of 30 plus one extra $n$. For $31 \times 7$: $30 \times 7 = 210$, then $210 + 7 = 217$.
Pattern 2: The 30 part is the 3s with a zero. Do $3 \times n$, append a zero, then add $n$. For $31 \times 6$: $3 \times 6 = 18$, append a zero for 180, then add 6 to get 186.
Pattern 3: There is no factor shortcut, because 31 is prime. Unlike 33 or 56, 31 cannot be split into a neat $a \times b$ pair, so you build it from 30 plus one rather than from factors. Seeing why comes down to what prime numbers are - numbers with no divisors except 1 and themselves.
Pattern 4: The units digit copies the multiplier. Because 31 ends in 1, the last digit of $31 \times n$ matches the last digit of $n$: $31 \times 7 = 217$ ends in 7, $31 \times 4 = 124$ ends in 4. That is a quick way to catch a slip in the ones place.
How Do You Read And Use The Table Of 31?
Read each row left to right: $31 \times 6 = 186$ is "thirty-one multiplied six times gives one hundred eighty-six." The first number is the group size, the second is the count of groups, and the product is the total.
For a bigger row like "what is 31 times 19?", lean on the 30-plus-one pattern: $30 \times 19 = 570$, then $570 + 19 = 589$. If a row slips, rebuild it from the table of 30 rather than guessing.
Where Does The Table Of 31 Appear In Real Life?
Thirty-one is the math of the longest months. January, March, May, July, August, October, and December each have 31 days, so counting days across several such months runs on this table. It also shows up in monthly rates and salaries divided by 31 days, and in any daily count kept across a full 31-day billing cycle, so anyone tracking a month at a time is reading off the table of 31.
Solved Examples Of The Table Of 31
Example 1
What is $31 \times 7$?
Use the 30 table, then add one more group of 7.
$30 \times 7 = 210$
$210 + 7 = 217$
Final answer: $31 \times 7 = 217$.
Example 2 (Wrong path first)
A box holds 31 pencils. How many pencils are in 9 boxes?
Wrong attempt. The rusher works out $30 \times 9 = 270$ and writes that as the answer.
Why it breaks. Each box holds one more than 30, and there are 9 boxes, so the count is 9 more than 270, not 270.
Correct. $30 \times 9 = 270$, then $270 + 9 = 279$.
Final answer: 279 pencils.
Example 3
Find $31 \times 12$.
Split the multiplier: $31 \times 10 = 310$ and $31 \times 2 = 62$.
$310 + 62 = 372$
Final answer: $31 \times 12 = 372$.
Example 4
$31 \times {?} = 124$.
Divide to find the missing factor: $124 \div 31 = 4$.
Final answer: $31 \times 4 = 124$.
Example 5
A hostel charges a fixed rate per day. Over a 19-day stay at 31 a day, what is the total?
Use the 30-plus-one pattern: $30 \times 19 = 570$, then add one more 19.
$570 + 19 = 589$
Final answer: 589.
What Are Common Mistakes With The Table Of 31?
Mistake 1: Using the 30 table and forgetting the extra group
Where it slips in: Building 31 from the 30s but leaving off the final $+n$.
Don't do this: Writing $31 \times 9 = 270$ (only the 30 part).
The correct way: $30 \times 9 = 270$, then add one more group of 9, giving $31 \times 9 = 279$.
Mistake 2: Adding 1 instead of the multiplier
Where it slips in: Reading "31 = 30 + 1" and adding a single 1 to the 30-times figure, no matter the row.
Don't do this: Writing $31 \times 9 = 271$ (added only 1).
The correct way: The extra part is one group of $n$, not one unit, so add 9: $270 + 9 = 279$.
Practice Questions On The Table Of 31
$31 \times 3 = {?}$
$31 \times 8 = {?}$
Fill in the blank: $31 \times {?} = 310$.
A tin holds 31 buttons. How many buttons in 5 tins?
$31 \times 11 = {?}$
Which is larger, $31 \times 6$ or $31 \times 7$?
$31 \times 20 = {?}$
$31 \times 9 = {?}$
Answers: 1. 93 2. 248 3. 10 4. 155 5. 341 6. $31 \times 7 = 217$ is larger 7. 620 8. 279.
Conclusion
The table of 31 is really the table of 30 wearing an extra coat: each row is the 30s figure plus one more group, and because 31 is prime there is no factor shortcut to chase. Hold the 30-plus-one pattern and the units-digit check, and the whole table to 620 comes within reach. To take this further with a teacher, explore mental maths for kids sessions, work with an elementary math tutor, or build pace with speed math.
Read More
Multiplication Tables - the master hub for every times table in one place.
Tables from 1 to 20 - the foundational range every larger table builds on.
Table of 32 - the neighbour one step above.
Table of 29 - the neighbour one step below, also a prime.
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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