Calculator Guide
Number theory
Number theory functions cover fractions, mixed numbers, primality, and divisors. Each function takes one number, or an expression that evaluates to a number.
fraction(0.75)
mixed fraction(7/3)
isprime(91)
factors(28)
Functions
| Function | Description | Example |
|---|---|---|
fraction(x) | Convert a decimal to a reduced fraction | fraction(0.625) |
mixed fraction(x) | Convert to a mixed number when possible | mixed fraction(7/3) |
isprime(x) | Test whether an integer is prime | isprime(91) |
factors(x) | List every divisor of a positive integer | factors(28) |
Function names are case-insensitive, so isPrime(7) and isprime(7) are the
same.
Fractions
fraction returns a reduced fraction. Improper fractions stay improper, and
whole numbers render plainly.
fraction(0.75)
fraction(2.5)
fraction(4)
fraction(6/8)
mixed fraction converts improper fractions to mixed numbers. Proper fractions
are unchanged.
mixed fraction(2.5)
mixed fraction(7/3)
mixed fraction(0.75)
The argument is evaluated first, so quotients work directly. fraction
approximates repeating decimals to the nearest simple fraction, with a
denominator up to 1,000,000.
Primes and divisors
isprime returns true only for prime integers. It returns false for
non-integers and numbers below 2.
isprime(7)
isprime(91)
isprime(1)
isprime(7.5)
factors lists every positive divisor in ascending order, including 1 and the
number itself.
factors(12)
factors(28)
Common mistakes
factors(12)lists every divisor, not the prime factorization.factors(-12)is invalid becausefactorsneeds a positive integer.- Fraction, list, and boolean results are display values. They cannot be fed back into further arithmetic in the same expression.