Table of 180 : 180 Times Table, Chart, Patterns, and Examples

Multiplication Table Of 180

The table of 180 is the list of products you get when you multiply 180 by each whole number in turn. It is one of the friendliest large tables, because $180 = 18 \times 10$, so it is the 18 times table with a zero added to every product.

Table Of 180 Up To 10

Table Of 180 Up To 20

What Is The Table Of 180 In Words?

Reading the table aloud sets the rhythm before the numbers stick.

• One times 180 is 180

• Two times 180 is 360

• Three times 180 is 540

• Four times 180 is 720

• Five times 180 is 900

• Six times 180 is 1080

• Seven times 180 is 1260

• Eight times 180 is 1440

• Nine times 180 is 1620

• Ten times 180 is 1800

What Is The 180 Times Table?

The 180 times table is repeated addition of 180. Each row adds one more group of one hundred eighty, so the table answers "how much is one hundred eighty, added to itself, again and again?"

Built from the ground up, the ladder looks like this:

$180$

$180 + 180 = 360$

$180 + 180 + 180 = 540$

$180 + 180 + 180 + 180 = 720$

Multiplication is the shortcut for this stacking, which is why $180 \times 4$ and "four one-hundred-eighties added together" both give 720.

What Are The Multiples Of 180?

The multiples of 180 are the numbers you land on by skip-counting in one-hundred-eighties. The first twenty are:

180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, 1980, 2160, 2340, 2520, 2700, 2880, 3060, 3240, 3420, 3600.

Every entry in the table of 180 is a multiple of 180, and because $180 = 18 \times 10 = 9 \times 20 = 6 \times 30$, each one is also a multiple of 9, of 10, of 6, and of 20. That is why every product ends in zero and its remaining digits always sum to a multiple of 9.

How To Learn The 180 Times Table (Patterns, Not Memorizing)

Bhanzu teaches the few patterns that generate a table rather than drilling its facts into recall. The table of 180 grows straight out of smaller tables you already know, so you can rebuild any row by reasoning instead of reciting it. That structural sense is what algebra later builds on.

Every pattern below comes from how 180 is composed: $180 = 18 \times 10$, $180 = 6 \times 30$, and $180 = 9 \times 20$.

Pattern 1: 180n is the 18 table with a zero appended. Because $180 = 18 \times 10$, the eighteens (18, 36, 54) become the one-hundred-eighties when you append a 0: 180, 360, 540. Use the 18 times table and add the zero last.

Pattern 2: The 180s are the 30s multiplied by six. Since $180 = 6 \times 30$, every multiple of 180 is six times the matching multiple of 30, so you can rebuild a row from the table of 30. For $180 \times 4$: $30 \times 4 = 120$, times six is 720.

Pattern 3: The 180s are the 6s tripled with a zero, twice over. Because $180 = 6 \times 30$ and $30 = 3 \times 10$, you can start from the 6 times table: $6 \times 7 = 42$, times 3 is 126, and a zero gives 1260, which is $180 \times 7$.

Pattern 4: Split the multiplier by place value. For $180 \times 12$, read 12 as $10 + 2$, so $180 \times 12 = (180 \times 10) + (180 \times 2) = 1800 + 360 = 2160$, which is the distributive idea you meet again as $180(10 + 2)$ in algebra.

How Do You Read And Use The Table Of 180?

Read each row left to right: $180 \times 6 = 1080$ is "one hundred eighty multiplied six times gives one thousand 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 eighteens and append a zero as you go, then quiz yourself in a shuffled order so you are recalling facts, not chanting them. If a row slips, rebuild it from the eighteens or from the table of 30.

Where Does The Table Of 180 Appear?

One hundred eighty is the math of half-turns. A straight angle measures exactly 180 degrees, the interior angles of any triangle add to 180 degrees, and half of a full 360-degree rotation is a 180 - which is where the phrase "doing a 180" comes from. The table of 180 also scales these half-turns, so twelve straight angles measure $180 \times 12 = 2160$ degrees, meaning anyone working with angles, polygons, or rotations is reading off this table.

Solved Examples Of The Table Of 180

Example 1

What is $180 \times 7$?

Use the eighteens plus a zero: $18 \times 7 = 126$, then append the 0.

$180 \times 7 = 1260$

Final answer: $180 \times 7 = 1260$.

Example 2

A sports field marks 180 metres per lap. How far is 9 laps?

The rusher reads $180 \times 9$ as $18 \times 9 = 162$ and writes 162, forgetting the zero.

That cannot be right: nine laps of 180 metres must total far more than a single lap of 180, so 162 is smaller than one lap alone.

Take $18 \times 9 = 162$, then append the zero that belongs to the 180.

$180 \times 9 = 1620$

Final answer: 1620 metres.

Example 3

Find $180 \times 15$.

Split the multiplier: $180 \times 10 = 1800$ and $180 \times 5 = 900$.

$1800 + 900 = 2700$

Final answer: $180 \times 15 = 2700$.

Example 4

Fill in the missing factor: $180 \times {?} = 3600$.

Divide to undo the multiplication: $3600 \div 180 = 20$.

Final answer: $180 \times 20 = 3600$.

What Are Common Mistakes With The Table Of 180?

Mistake 1: Dropping the zero from the 18-table pattern

Where it slips in: Using the eighteens-plus-zero method but forgetting to append the zero at the end.

Don't do this: Writing $180 \times 6 = 108$ (the bare $18 \times 6$, no zero).

The correct way: Take $18 \times 6 = 108$, then append one zero, giving $180 \times 6 = 1080$.

Mistake 2: Adding only one zero when the numbers already carry zeros

Where it slips in: Rounding 180 to a smaller factor and losing track of place value.

Don't do this: Answering $180 \times 5$ with $18 \times 5 = 90$ and calling it done.

The correct way: $180 \times 5 = 900$. Append the zero to the 90, since the extra factor of 10 in 180 must stay.

Practice Questions On The Table Of 180

1. $180 \times 4 = {?}$

2. $180 \times 8 = {?}$

3. Fill in the blank: $180 \times {?} = 2160$.

4. A hall seats 180 people. How many seats across 6 identical halls?

5. $180 \times 11 = {?}$

6. Which is larger, $180 \times 7$ or $180 \times 6$?

7. $180 \times 20 = {?}$

8. A wheel turns 180 degrees per press. How many degrees after 9 presses?

Answers: 1. 720 2. 1440 3. 12 4. 1080 5. 1980 6. $180 \times 7 = 1260$ is larger 7. 3600 8. 1620 degrees.

Conclusion

The table of 180 is easiest when you stop treating it as twenty giant facts and start seeing it as the eighteens with a zero, or the table of 30 stepped up by six. Rebuild any row from a smaller table you already own, and the one-hundred-eighties follow. To take this further with a teacher, explore mental maths for kids sessions or structured math programs for kids.

Read More

• Tables from 1 to 20 - every chart from 2 to 20 in one place.

• 20 times table - a factor of 180, since $180 = 9 \times 20$.

• What is an even number - why every multiple of 180 is even.

• How to teach multiplication - a parent's guide to building table fluency.