🔢 Factors & Number Theory

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Divisibility

Check whether one integer divides another exactly and see the quotient and remainder.

➗

Quotient & Remainder

Calculate the integer quotient and remainder when dividing one whole number by another.

2️⃣

Even or Odd

Determine whether a whole number is even or odd using its remainder after division by 2.

✖️

Multiple Checker

Check whether one whole number is an exact multiple of another and calculate the multiple when applicable.

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Common Divisor

Check whether a chosen integer is a common divisor of two numbers.

◻️

Perfect Square

Check whether a positive integer is a perfect square and calculate its nearest integer square root.

🧊

Perfect Cube

Check whether a number is a perfect cube and calculate its nearest integer cube root.

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Number of Digits

Count the number of decimal digits in a positive whole number.

xʸ

Power / Exponent

Calculate a power and check a selected exponent relationship.

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Digital Root

Calculate the digital root of a positive integer using repeated modulo-9 arithmetic.

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Modular Arithmetic

Calculate the remainder of an integer after division by a positive modulus.

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Divisor / Multiple

Determine the quotient, remainder and exact-multiple relationship between two whole numbers.

2ⁿ

Power of 2

Check whether a positive integer is an exact power of two and estimate its logarithm base 2.