Multiplication Keywords

When you see these words in a math word problem, they signal that you need to multiply. The result of a multiplication problem is called the product. The numbers being multiplied are called factors.

Answer called: product 28 keywords

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All Multiplication Keywords

times

Indicates repeated addition of a number — the most common multiplication signal word.

Worked Examples

What is 7 times 8?

7 × 8 = ? 56

She runs around the block 6 times a day. Each lap is 0.5 miles. How far does she run?

6 × 0.5 = ? 3 miles

A machine makes 240 parts per hour. How many in 5 hours?

240 × 5 = ? 1,200 parts

A number is 4 times greater than 35. What is the number?

4 × 35 = ? 140

product

The result you get after multiplying two or more numbers together.

Worked Examples

What is the product of 6, 20, and 16?

6 × 20 × 16 = ? 1,920

Find the product of 9 and 11.

9 × 11 = ? 99

The product of two numbers is 72. One number is 8. What is the other?

8 × ? = 72 9

What is the product of 15 and 40?

15 × 40 = ? 600

multiplied by

A direct signal to multiply two quantities.

Worked Examples

14 multiplied by 5 is what?

14 × 5 = ? 70

A number multiplied by 9 equals 108. What is the number?

? × 9 = 108 12

The area is 6 m multiplied by 8 m. What is the area?

6 × 8 = ? 48 m²

groups of

Equal-sized groups — multiply the number of groups by the size of each group.

Worked Examples

There are 4 groups of 7 students. How many students total?

4 × 7 = ? 28

Pack 6 groups of 12 eggs. How many eggs altogether?

6 × 12 = ? 72

A teacher hands out 5 groups of 8 worksheets. How many worksheets total?

5 × 8 = ? 40

A store arranges products in 9 groups of 15. How many products total?

9 × 15 = ? 135

of

When used with fractions or percentages, 'of' signals multiplication.

Worked Examples

What is 37% of 500?

0.37 × 500 = ? 185

What is 1/2 of 48?

0.5 × 48 = ? 24

Find 3/4 of 200.

0.75 × 200 = ? 150

What is 20% of 350?

0.20 × 350 = ? 70

per

Indicates a rate — multiply the rate by the quantity to find the total.

Worked Examples

A worker earns $15 per hour. How much does she earn in 8 hours?

15 × 8 = ? $120

A car travels 60 km per hour. How far in 3 hours?

60 × 3 = ? 180 km

A factory produces 450 items per day. How many in 5 days?

450 × 5 = ? 2,250 items

Apples cost $2.50 per kg. What is the cost of 4 kg?

2.50 × 4 = ? $10

doubled

Multiplied by 2.

Worked Examples

The recipe is doubled. It originally uses 3 cups of flour. How much is needed?

3 × 2 = ? 6 cups

A company doubled its profit from $250,000. New profit?

250000 × 2 = ? $500,000

If a number is doubled and the result is 84, what was the original number?

? × 2 = 84 42

tripled

Multiplied by 3.

Worked Examples

Seventeen tripled equals what?

17 × 3 = ? 51

The company tripled its 4,000 employee count. How many employees now?

4000 × 3 = ? 12,000

A number tripled is 99. What is the original number?

? × 3 = 99 33

twice

Two times a quantity — multiply by 2.

Worked Examples

The bag weighs twice as much as the box. The box weighs 9 kg. How heavy is the bag?

9 × 2 = ? 18 kg

The new highway is twice the length of the old one (35 km). Length of new highway?

35 × 2 = ? 70 km

Anna reads twice as fast as Ben. Ben reads 20 pages/hr. How fast does Anna read?

20 × 2 = ? 40 pages/hr

Twice a number equals 90. What is the number?

? × 2 = 90 45

factor

A number that is multiplied with another to produce a product.

Worked Examples

List all the factors of 24.

1×24, 2×12, 3×8, 4×6 1, 2, 3, 4, 6, 8, 12, 24

Find all factor pairs of 36.

1×36, 2×18, 3×12, 4×9, 6×6 (1,36)(2,18)(3,12)(4,9)(6,6)

What is the largest factor of 30 other than 30 itself?

factors of 30 15

area

The space inside a 2D shape — found by multiplying length × width.

Worked Examples

A rectangle is 8 cm long and 5 cm wide. What is its area?

8 × 5 = ? 40 cm²

A square field has sides of 14 m. What is its area?

14 × 14 = ? 196 m²

A room is 6.5 m by 4 m. What is its area?

6.5 × 4 = ? 26 m²

A garden 12 m × 9 m needs grass at $3 per m². Total cost?

(12 × 9) × 3 = ? $324

array

Objects arranged in equal rows and columns — multiply rows by columns.

Worked Examples

An array has 4 rows and 6 columns. How many items in total?

4 × 6 = ? 24

A chocolate box has 5 rows of 8 chocolates. How many chocolates?

5 × 8 = ? 40

A parking lot has 12 rows of 25 spaces. How many spaces total?

12 × 25 = ? 300

rows of

Equal groups arranged in rows — multiply to find the total.

Worked Examples

There are 5 rows of 8 chairs. How many chairs in total?

5 × 8 = ? 40

A stadium has 80 rows of 40 seats. How many seats total?

80 × 40 = ? 3,200

A garden has 7 rows of 15 plants. How many plants?

7 × 15 = ? 105

equal groups

Groups that each contain the same number — multiply to find the total.

Worked Examples

There are 6 equal groups of 9. What is the total?

6 × 9 = ? 54

A delivery driver has 8 equal groups of 12 packages. How many total?

8 × 12 = ? 96

Students sit in 7 equal groups of 6. How many students?

7 × 6 = ? 42

percent of

A percentage of a quantity — convert to decimal and multiply.

Worked Examples

What is 20% of 150?

0.20 × 150 = ? 30

A store offers 15% off a $60 item. What is the discount?

0.15 × 60 = ? $9

VAT is 10%. What is the VAT on a $430 item?

0.10 × 430 = ? $43

What is 35% of 900?

0.35 × 900 = ? 315

times as much

A quantity that is a certain number of times larger than another.

Worked Examples

She earns 3 times as much as her brother who earns $400/month.

3 × 400 = ? $1,200

Mount Everest is about 4 times as tall as a 2,200 m peak. How tall is Everest?

4 × 2200 = ? 8,800 m

City A has 5 times as many people as City B's 80,000. How many in City A?

5 × 80000 = ? 400,000

volume

The space inside a 3D shape — length × width × height.

Worked Examples

A box is 4 cm × 3 cm × 5 cm. What is its volume?

4 × 3 × 5 = ? 60 cm³

A fish tank is 60 cm × 30 cm × 40 cm. Volume?

60 × 30 × 40 = ? 72,000 cm³

A shipping container is 6 m × 2.4 m × 2.5 m. Volume?

6 × 2.4 × 2.5 = ? 36 m³

interest on

Interest earned or owed — multiply principal by rate and time.

Worked Examples

Simple interest on $200 at 5% per year for 3 years.

200 × 0.05 × 3 = ? $30

Annual interest on a $1,000 savings account at 4% per year.

1000 × 0.04 = ? $40

Interest on a $5,000 loan at 6% for 2 years.

5000 × 0.06 × 2 = ? $600

at

Indicates a rate — often signals multiplication (e.g., at $5 each).

Worked Examples

She bought 6 books at $8 each. How much did she spend?

6 × 8 = ? $48

Workers are paid at $18 per hour. How much for 40 hours?

18 × 40 = ? $720

Tickets sold at $12 each. How much do 35 tickets cost?

12 × 35 = ? $420

A train travels at 120 km/h for 2.5 hours. How far?

120 × 2.5 = ? 300 km

every

Repeated for each unit — multiply the amount per unit by the number of units.

Worked Examples

A machine produces 50 widgets every hour. How many in 8 hours?

50 × 8 = ? 400 widgets

A tree grows 3 cm every month. How much does it grow in a year?

3 × 12 = ? 36 cm

Every student needs 4 pencils. 30 students. How many pencils?

4 × 30 = ? 120 pencils

for every

A rate applied to each unit — multiply the rate by the total number of units.

Worked Examples

For every $10 spent, a customer earns 5 reward points. How many for $80 spent?

(80 ÷ 10) × 5 = ? 40 points

For every kilometre run, a charity receives $2. If a runner runs 15 km, how much raised?

2 × 15 = ? $30

For every 3 correct answers, a student earns a sticker. 21 correct answers = how many stickers?

21 ÷ 3 = ? 7 stickers

as many as

A multiple of another quantity — multiply to find the total.

Worked Examples

There are 3 times as many apples as oranges. 15 oranges. How many apples?

15 × 3 = ? 45 apples

The zoo has twice as many birds as mammals. 40 mammals. How many birds?

40 × 2 = ? 80 birds

squared

A number multiplied by itself (raised to the power of 2).

Worked Examples

What is 7 squared?

7 × 7 = ? 49

What is 12 squared?

12 × 12 = ? 144

A square room has sides of 9 m. What is its area? (9 squared)

9 × 9 = ? 81 m²

cubed

A number multiplied by itself three times (raised to the power of 3).

Worked Examples

What is 4 cubed?

4 × 4 × 4 = ? 64

A cube has sides of 5 cm. What is its volume? (5 cubed)

5 × 5 × 5 = ? 125 cm³

What is 10 cubed?

10 × 10 × 10 = ? 1,000

scale by

To multiply all values by the same factor.

Worked Examples

A recipe for 2 people uses 150 g of pasta. Scale by 4 for 8 people.

150 × 4 = ? 600 g

A model is built to a scale of 1:100. The real building is 2,500 cm tall. Model height?

2500 ÷ 100 = ? 25 cm

apiece

For each one — multiply the amount per item by the number of items.

Worked Examples

Books cost $12 apiece. 20 books. Total cost?

12 × 20 = ? $240

Students receive 5 stickers apiece. 28 students. How many stickers needed?

5 × 28 = ? 140 stickers

multiple

A number that is the product of a given number and an integer.

Worked Examples

List the first 5 multiples of 6.

6×1, 6×2, 6×3, 6×4, 6×5 6, 12, 18, 24, 30

Is 84 a multiple of 7?

84 ÷ 7 = ? Yes (7 × 12 = 84)

by

In the context of dimensions, 'by' signals multiplication (length by width).

Worked Examples

A room measures 5 m by 4 m. What is the area?

5 × 4 = ? 20 m²

A poster is 60 cm by 90 cm. What is the area?

60 × 90 = ? 5,400 cm²

A garden is 8 m by 6 m. Fencing costs $5 per metre of perimeter. Total cost?

(8+6+8+6) × 5 = ? $140

Frequently Asked Questions about Multiplication Keywords

What are the keywords for multiplication in math?

Multiplication keywords include: times, product, multiplied by, groups of, of, per, doubled, tripled, twice, factor, area, array, rows of, equal groups, percent of, times as much, volume, interest on, at, every, for every, as many as, squared, cubed, scale by, apiece, multiple, and by (dimensions).

What does product mean in math?

The product is the result of multiplying two or more numbers. For example, the product of 4 and 5 is 20 (4 × 5 = 20). The numbers being multiplied are called factors.

Why does of sometimes mean multiplication?

Of signals multiplication when used with fractions, percentages, or rates. One-half of 20 means 0.5 × 20 = 10, and 30% of 50 means 0.30 × 50 = 15.

What is the difference between doubled and tripled?

Doubled means multiplied by 2, and tripled means multiplied by 3. For example, 8 doubled is 16 (8 × 2), and 8 tripled is 24 (8 × 3).

What does per mean in math word problems?

Per indicates a unit rate and usually signals multiplication. $12 per hour for 5 hours means 12 × 5 = $60. However, per can also appear in division when finding a unit rate from a total.

How is area related to multiplication?

Area is the space inside a 2D shape. For rectangles and squares, area = length × width. A rectangle 6 cm by 4 cm has area = 6 × 4 = 24 cm².

What are the parts of a multiplication problem called?

The numbers being multiplied are factors, and the result is the product. In 6 × 7 = 42, the numbers 6 and 7 are factors and 42 is the product.

What does squared mean in mathematics?

Squared means a number multiplied by itself. 5 squared (written 5²) = 5 × 5 = 25. It often appears when calculating the area of a square.

What does at mean in multiplication word problems?

At signals a rate — it links a price or value to each unit. Bought 5 apples at $1.20 each means 5 × 1.20 = $6. Look for at [amount] each or at [rate] per [unit].

Is every a multiplication keyword?

Yes — every signals a repeating rate that you multiply. A machine makes 100 parts every hour; how many in 6 hours? means 100 × 6 = 600.

Explore Other Operations

+ Addition Keywords − Subtraction Keywords ÷ Division Keywords = Equals / Equality Keywords