Multiplication Table of 30
The table of 30 is the list of products you get when you multiply 30 by each whole number in turn. It is one of the easiest large tables, because 30 is just $3 \times 10$, so it is the 3 times table with a zero added to every product.
Table of 30 up to 10
Multiplication | Product |
|---|---|
$30 \times 1$ | 30 |
$30 \times 2$ | 60 |
$30 \times 3$ | 90 |
$30 \times 4$ | 120 |
$30 \times 5$ | 150 |
$30 \times 6$ | 180 |
$30 \times 7$ | 210 |
$30 \times 8$ | 240 |
$30 \times 9$ | 270 |
$30 \times 10$ | 300 |
Table of 30 up to 20
Multiplication | Product |
|---|---|
$30 \times 11$ | 330 |
$30 \times 12$ | 360 |
$30 \times 13$ | 390 |
$30 \times 14$ | 420 |
$30 \times 15$ | 450 |
$30 \times 16$ | 480 |
$30 \times 17$ | 510 |
$30 \times 18$ | 540 |
$30 \times 19$ | 570 |
$30 \times 20$ | 600 |
Table of 30 in Words
Reading the table aloud builds the rhythm before the numbers stick.
One times 30 is 30
Two times 30 is 60
Three times 30 is 90
Four times 30 is 120
Five times 30 is 150
Six times 30 is 180
Seven times 30 is 210
Eight times 30 is 240
Nine times 30 is 270
Ten times 30 is 300
What Is the Table of 30?
The table of 30 is repeated addition of 30. Each row adds one more group of thirty, so the table answers "how much is thirty, added to itself, again and again?"
Built from the ground up, the ladder looks like this:
$30$
$30 + 30 = 60$
$30 + 30 + 30 = 90$
$30 + 30 + 30 + 30 = 120$
Multiplication is the shortcut for this stacking, which is why $30 \times 4$ and "four thirties added together" both give 120.
Multiples of 30
The multiples of 30 are the numbers you reach by skip-counting in thirties. The first twenty multiples are:
30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600.
Every entry in the table of 30 is a multiple of 30, and every one is also a multiple of 3, of 10, and of 5. That triple inheritance is why each product ends in zero and why the tens digit follows the 3, 6, 9, 12 rhythm of the threes.
How to Learn the Table of 30 (Patterns, Not Memorizing)
Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall. The table of 30 grows straight out of the threes you already know, so you can rebuild any row by reasoning instead of memorizing it. Seeing that structure is the number sense and mental agility that algebra later builds on.
Every pattern below comes from how 30 is composed: $30 = 3 \times 10$, and $30 = 2 \times 15$.
Pattern 1: 30n is the 3 table with a zero appended. Because $30 = 3 \times 10$, the threes (3, 6, 9, 12) become the thirties when you append a 0: 30, 60, 90, 120. The zero is the $\times 10$; the threes carry the rest.
Pattern 2: The 30s are the 10s tripled. Since $30 = 3 \times 10$, every multiple of 30 is triple the matching multiple of 10, so you reuse a table you already know. For $30 \times 7$: $10 \times 7 = 70$, tripled is 210.
Pattern 3: The 30s are the 15s doubled. Because $30 = 2 \times 15$, every multiple of 30 is double the matching multiple of 15. For $30 \times 6$: $15 \times 6 = 90$, doubled is 180.
Pattern 4: Split the multiplier by place value. A large row decomposes the way the number is written. For $30 \times 17$, read 17 as $10 + 7$, so $30 \times 17 = (30 \times 10) + (30 \times 7) = 300 + 210 = 510$ — the distributive idea you meet again as $30(10 + 7)$ in algebra.
How to Read and Use the Table of 30
Read each row left to right: $30 \times 6 = 180$ is "thirty multiplied six times gives one hundred eighty." The first number is the group size, the second is the count of groups, and the product is the total.
To learn it, recite the threes and add a zero as you go, then quiz yourself in a shuffled order so you are recalling facts rather than reciting a chant. The 3-table-plus-zero link is your safety net, so if a row slips, rebuild it from the threes you already know.
Where the Table of 30 Appears
Thirty is the math of months and minutes. Many months hold 30 days, so the table of 30 counts days across several such months, and half an hour is 30 minutes, so a half-hour-slot schedule scales on this table. It also shows up in geometry (a full turn is twelve 30-degree steps) and in any rate measured per 30-minute interval, so anyone planning a calendar or pricing by the half-hour is reading off this table.
Solved Examples
Example 1
What is $30 \times 7$?
Triple the 10s, or use the threes-plus-zero: $3 \times 7 = 21$, then add a zero.
$30 \times 7 = 210$
Final answer: $30 \times 7 = 210$.
Example 2 (Wrong path first)
A box holds 30 eggs. How many eggs are in 9 boxes?
Wrong attempt. The rusher reads $30 \times 9$ as just $3 \times 9$ and stops at 27.
Why it breaks. Nine boxes of thirty eggs each must hold far more than a single box, so 27 cannot be right; it is less than even one box's 30.
Correct. Take $3 \times 9 = 27$, then add the zero that belongs to the 30.
$30 \times 9 = 270$
Final answer: 270 eggs.
Example 3
Find $30 \times 12$.
Split it: $30 \times 10 = 300$ and $30 \times 2 = 60$.
$300 + 60 = 360$
Final answer: $30 \times 12 = 360$.
Example 4
$30 \times {?} = 450$.
Divide to find the missing factor: $450 \div 30 = 15$.
Final answer: $30 \times 15 = 450$.
Example 5
Julia jogs 4 miles a day. How many miles does she jog in 30 days?
$30 \times 4 = (3 \times 4) \text{ with a zero} = 120$.
Final answer: 120 miles.
Common Mistakes
Mistake 1: Dropping the zero from the 3-table trick
Where it slips in: Using the threes-plus-zero method but forgetting to append the zero.
Don't do this: Writing $30 \times 6 = 18$ (the bare $3 \times 6$, no zero).
The correct way: Take $3 \times 6 = 18$, then add one zero, giving $30 \times 6 = 180$.
Mistake 2: Confusing the table of 30 with the table of 3
Where it slips in: Under time pressure, the first instinct is to answer $30 \times 8$ with the $3 \times 8 = 24$ fact and stop there.
Don't do this: Answering $30 \times 8 = 24$.
The correct way: $30 \times 8 = 240$. The 24 is right; the missing zero is the place value that turns it into the table of 30.
Practice Questions
$30 \times 4 = {?}$
$30 \times 9 = {?}$
Fill in the blank: $30 \times {?} = 360$.
A tray holds 30 cupcakes. How many on 6 trays?
$30 \times 11 = {?}$
Which is larger, $30 \times 7$ or $30 \times 6$?
$30 \times 20 = {?}$
A month has 30 days. How many days in 7 such months?
Answers: 1. 120 2. 270 3. 12 4. 180 5. 330 6. $30 \times 7 = 210$ is larger 7. 600 8. 210 days.
Related Multiplication Tables
Tables from 1 to 20 hub — every chart from 2 to 20 in one place.
3 times table — the root of the table of 30; add a zero to each three.
6 times table — a factor of 30.
12 times table — a useful neighbour for comparison.
For pattern-based shortcuts, see the Bhanzu guide to mental math tricks.
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