Input values
Formula used
This calculator works with integer division. For a dividend a and divisor b:
a = b × q + r
0 ≤ r < |b|
Here q is the integer quotient and r is the remainder. A number “divides evenly” when r = 0, meaning the dividend is an exact multiple of the divisor.
How to use this calculator
- Enter one or more integer dividends, separated by commas.
- Enter one or more integer divisors, separated by commas.
- Optionally change the filter and decimal precision settings.
- Click Calculate to create all possible pairs.
- Review results, export them as CSV or PDF if needed.
Example of using divide evenly calculator
This example tests several dividends against multiple divisors to illustrate how the calculator highlights evenly divisible pairs.
- Enter dividends: 24, 36, 35 in the dividends box.
- Enter divisors: 2, 4, 5 in the divisors box.
- Leave the filter as “Show all results” and decimals set to 2.
- Click Calculate to generate every dividend–divisor combination.
You will see, for example, that 24 ÷ 4 and 36 ÷ 4 divide evenly with remainder zero, while 35 ÷ 4 leaves remainder three and is marked “No, leaves remainder” in the results table.
Example data table
| Dividend | Divisor | Quotient | Remainder | Divides evenly? |
|---|---|---|---|---|
| 24 | 6 | 4 | 0 | Yes, divides evenly |
| 24 | 5 | 4.8 | 4 | No, leaves remainder |
| 36 | 9 | 4 | 0 | Yes, divides evenly |
| 35 | 4 | 8.75 | 3 | No, leaves remainder |
Understanding even division and multiples
When one integer divides another evenly, the dividend is an exact multiple of the divisor. This calculator highlights those relationships clearly, allowing you to spot factor pairs quickly.
Using the calculator for factor checks
To check whether a number is a factor of another, enter the candidate factors as divisors and the target value as a dividend. Rows marked “Yes, divides evenly” show valid factor relationships.
Classroom and learning applications
Teachers can generate quick tables of examples and non-examples of divisibility, helping students understand remainders, multiples, and integer division without manually computing every case.
Quick divisibility analysis for large datasets
By entering multiple dividends and divisors, you can perform a compact divisibility scan across many values. Exportable CSV output makes it easy to review and reuse the results elsewhere.
Interpreting division by zero warnings
If any divisor is zero, the corresponding rows are labeled as undefined. This reminds users that division by zero has no valid quotient or remainder in standard arithmetic.
Frequently asked questions
1. What does “divide evenly” mean?
Divide evenly means the dividend is a whole-number multiple of the divisor. In other words, the remainder equals zero and the quotient is an integer without any fractional part remaining.
2. Can I enter negative numbers?
Yes, you can use negative integers as dividends or divisors. The calculator still checks divisibility correctly, while signs only affect the quotient. The remainder always follows standard integer division behaviour.
3. Why do some rows show division by zero?
Division by zero has no valid result, so those rows are flagged as undefined. You can hide them by choosing the “Hide division by zero rows” option in the advanced settings section.
4. How many values can I test simultaneously?
You can enter multiple dividends and divisors, limited mainly by browser performance. For very large lists, consider splitting the data into smaller batches to keep the table responsive and readable.
5. What is the purpose of decimal places option?
Decimal places control how many digits appear after the decimal point in non-integer quotients. This helps you choose between compact, rounded displays or more detailed precision when analyzing near-even division results.
6. How can I save or share my results?
Use the CSV download button to export table values for spreadsheets. Alternatively, print or save to PDF using the dedicated button and your browser’s print dialog for archiving or sharing purposes.