A multiple of a number is what you get when you multiply it by a whole number: 7, 14, 21, 28… are multiples of 7. Multiples are the backbone of skip counting, times tables, common denominators and scheduling problems where events repeat. This calculator lists the first multiples of any number — including decimals such as 0.25 or 1.5 — finds every multiple inside a range, and checks whether a particular number is a multiple.
How to use the multiples calculator
- Enter the number whose multiples you want, such as
7,12or0.25. - Choose a mode:
- First N multiples — set how many to list (up to 1,000).
- Multiples in a range — enter the start and end values.
- Is it a multiple? — enter the number to test.
- The tape shows the count, smallest and largest values and their sum. The chips list every multiple; hover over one to see which product it came from.
Formula
To test a number x, divide: x is a multiple of n exactly when x ÷ n is a whole number, which is the same as saying the remainder x mod n is 0.
Worked examples
First five multiples of 7: 7, 14, 21, 28, 35
Multiples of 7 between 100 and 200: the first is 7 × 15 = 105 and the last is 7 × 28 = 196 — 14 multiples in all
Is 91 a multiple of 7? 91 ÷ 7 = 13, a whole number, so yes
Is 3.45 a multiple of 0.05? 3.45 ÷ 0.05 = 69, so yes — useful for checking prices in nickels
Multiples of common numbers
| Number | First multiples | Pattern |
|---|---|---|
| 2 | 2, 4, 6, 8, 10, 12 | All even numbers |
| 3 | 3, 6, 9, 12, 15, 18 | Digit sums are multiples of 3 |
| 5 | 5, 10, 15, 20, 25, 30 | End in 0 or 5 |
| 9 | 9, 18, 27, 36, 45, 54 | Digit sums are multiples of 9 |
| 11 | 11, 22, 33, 44, 55, 66 | Repeated digits up to 99 |
| 12 | 12, 24, 36, 48, 60, 72 | Dozens; months in years |
| 0.25 | 0.25, 0.5, 0.75, 1, 1.25 | Quarters |
Factors and multiples are opposites
If 7 is a factor of 91, then 91 is a multiple of 7. Factors of a number are limited and no larger than the number itself; multiples are unlimited and no smaller (for positive numbers). The factors calculator lists the first kind; this page lists the second.
Where multiples are useful
- Common multiples: the numbers that appear in two lists of multiples. The smallest one is the least common multiple — see the LCM calculator. Buses every 12 and 18 minutes coincide every 36 minutes.
- Packaging and counting: eggs come in multiples of 12, so an order of 150 eggs isn’t possible without breaking a carton; 144 or 156 are.
- Money and measurement: cash prices are multiples of $0.01 (or $0.05 where pennies are retired); lumber lengths are multiples of 2 feet.
- Times tables: the multiplication table is nothing but rows of multiples.
To snap a value to the closest multiple, use the round to nearest multiple calculator. For the remainder left over when a number isn’t a multiple, see the modulo calculator.
Frequently asked questions
What is a multiple of a number?
The result of multiplying the number by a whole number. The multiples of 7 are 7, 14, 21, 28 and so on — the same values you get by skip counting by 7.
How do I check if a number is a multiple of another?
Divide and look at the result. If the quotient is a whole number (the remainder is 0), it is a multiple. 91 ÷ 7 = 13, so 91 is a multiple of 7; 90 ÷ 7 = 12.857…, so 90 is not.
Is 0 a multiple of every number?
Yes. Any number times 0 is 0, so 0 is a multiple of every number. School lists usually start at the number itself (7 × 1) because 0 is not very informative.
How many multiples does a number have?
Infinitely many — you can keep multiplying by larger whole numbers forever. That is why calculators list only the first few or the ones in a range.
How do I find the multiples of a number between two values?
Divide the lower bound by the number and round up to get the first multiplier; divide the upper bound and round down to get the last. For multiples of 7 from 100 to 200: 100 ÷ 7 ≈ 14.3 → 15, and 200 ÷ 7 ≈ 28.6 → 28, so the multiples are 7 × 15 = 105 through 7 × 28 = 196.