Divisibility Checker

What is Divisibility?

One number divides another when the division leaves no remainder, so the two are is-the-remainder-zero questions rather than a fact about factors. Divisibility is the raw material of fractions, factors and modular arithmetic, and the short digit rules — divisibility by 3 from the digit sum, by 4 from the last two digits — are still the fastest way to check by hand.

How it works

The integer quotient and remainder are computed together, so the general case is answered as n = divisor × quotient + remainder and divisibility is just the remainder being zero. Both outcomes earn a useful answer: a divisor that works gives the quotient as a whole number, and one that does not gives the nearest multiple and the gap, which is what a modular-arithmetic question actually needs.

1. Enter your input. Type or paste your input into the field above — the tool responds instantly.
2. Review the result. Output updates live as you type. Everything runs entirely in your browser.
3. Copy or download. Use the Copy button to grab the result, or Download to save it as a file.

Examples

Realistic sample

Type or paste any realistic input — the tool computes the result locally and instantly.

Common mistakes

Expecting a server round-trip

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