Multiplication
Multiply two or more numbers instantly. Enter the count of numbers and their values — whole numbers, decimals or negatives — and get the product with a step-by-step example.
Arithmetic Calculators: Operations, Averages and More
These arithmetic calculators help you work through everyday number problems, from Addition, Subtraction, Multiplication, and Division to Floor Division and Nth Root. Use Average, Weighted Mean, or Geometric Mean when a problem calls for more than a basic calculation.Students and educators can explore number patterns with the Arithmetic Progression, Digital Root, and Magic Square calculators. For more advanced exercises, tools such as Multiplicative Inverse Modulo and the Chinese Remainder Theorem help with modular arithmetic. Whether you are checking homework or solving a practical problem, choose the calculator that matches the operation you need.
Calculators
Addition
Add two or more numbers quickly and accurately. Enter how many values you want to sum, type them in, and the calculator instantly shows the total.
Square Root
Enter any number — integer, decimal or fraction — and this square root calculator gives the decimal value, checks whether it is a perfect square, and shows the simplified radical step by step using prime factorization.
Division
Divide two or more numbers instantly. Enter the dividend and divisor (or a whole chain of numbers) and the calculator performs the division step by step, left to right, and shows the exact quotient.
Subtraction
Subtract any quantity of numbers in sequence and get the exact difference instantly. Enter how many values you want to use, type the numbers, and the calculator subtracts each one from the running total.
Big Number
Performs exact arithmetic on very large numbers: add, subtract, multiply, divide, powers, factorials, square roots, GCD and LCM with up to 1,000 digits per number and no floating-point rounding. Choose an operation, enter two numbers, and get every digit.
Scientific Notation
Convert any decimal number into scientific notation (a × 10ⁿ) or expand scientific notation back into a plain decimal. Enter a value and get the coefficient, exponent and full explanation.
Team Work Time
Find how long a task takes when two people work on it together. Enter the time each person needs to finish the job alone, and the calculator returns the combined completion time.
Modular Exponentiation
Computes b^e mod m instantly, even when the power has hundreds of digits, using fast square-and-multiply exponentiation. Enter a base, a non-negative exponent and a positive modulus, and optionally see every repeated-squaring step.
Sum of Consecutive Cubes
Calculate the sum of the first n consecutive cubes instantly. Enter the number of terms and get the result using the closed-form formula (n(n+1)/2)^2, with a worked example and explanation.
Factors
Enter any whole number up to 10¹² and instantly get all of its factors, the number and sum of divisors, the prime factorization, factor pairs, and whether it is prime, perfect, abundant or deficient — or compare 2–5 numbers to find their common factors and GCF.
Euler’s Theorem
Apply Euler’s Theorem online: enter a base a and a modulus n (coprime), and the calculator computes Euler’s totient φ(n) and a^φ(n) mod n, which always equals 1 when the theorem’s conditions hold.
LCM
Find the least common multiple and greatest common divisor of 2 to 10 positive integers. Enter numbers separated by commas or spaces to see their prime factorizations and the steps behind the LCM.
Factorial
Calculate the exact factorial n! of any nonnegative integer up to 10000, with every digit shown, plus the digit count, trailing zeros and scientific notation.
Floor Division
This floor division calculator divides two numbers and rounds the result down to the nearest whole number. Enter a dividend and a non-zero divisor to get the floored quotient, useful in programming, pagination, and integer math.
Sum of Consecutive Squares
Calculate the sum of the squares of the first n natural numbers: 1² + 2² + ... + n². Enter the number of terms and get the instant result using the formula n(n+1)(2n+1)/6.
GCF
Find the greatest common factor of 2–10 integers, along with their least common multiple, prime factorizations, and Euclidean division steps. Enter numbers separated by commas or spaces.
Digital Root
Find the digital root of any non-negative integer by repeatedly summing its digits until one digit remains. Enter a number and get the result plus every intermediate step.
Magic Square
Generate an n×n magic square for any odd size (3, 5, 7, ...). Enter the size and get a grid where every row, column, and both diagonals sum to the same magic constant.
Stirling’s Factorial Approximation
Estimate the factorial of a large number instantly with Stirling's approximation: enter n and get n! ≈ √(2πn)(n/e)ⁿ in scientific notation. Ideal for statistics, probability, and combinatorics.
Arithmetic Progression
Enter the number of terms, the first term, and the common difference to generate the full arithmetic progression and the sum of its first n terms instantly.
Rounding
Round a number to the nearest thousand, hundred, whole number, decimal place or N significant figures. Seven rounding modes including banker's rounding — results are exact, with no floating-point errors.
Absolute Change
Calculate the absolute change between two values — enter an initial value and a final value to see how much the quantity changed, plus whether it increased or decreased. Works in any unit: numbers, currency, percentages, measurements.
Prime Factorization
Enter any integer from 2 to 1,000,000,000,000 and this calculator instantly finds its prime factorization in exponent form, lists all prime factors, identifies the largest one, and counts the number of divisors.
Average
Calculate the average (arithmetic mean) of two or more numbers. Enter how many values you have and type them in — the result appears instantly.
Summation
Evaluate any sum written in sigma notation: enter an expression f(n), the lower and upper bounds, and get the total, the number of terms and a closed-form check. You can also paste a plain list of numbers to add them up.
Prime Number Checker
Enter any whole number up to one trillion and instantly find out whether it is prime or composite. The calculator also shows the smallest prime factor and the complete prime factorization with an explanation.
Quadratic Mean
Calculate the quadratic mean (root mean square, RMS) of any set of numbers. Enter how many values you have and the values themselves — the calculator squares each one, averages the squares, and takes the square root.
Weighted Mean
Calculate the weighted mean of a dataset where each value has its own weight. Enter your values and weights to get the weighted average instantly — useful for grades, scores, and financial data.
Chinese Remainder Theorem
Solves a system of simultaneous congruences using the Chinese Remainder Theorem. Enter the remainders and pairwise coprime moduli to get the smallest non-negative solution.
Leibniz Harmonic Triangle
Generate the Leibniz Harmonic Triangle for up to 150 rows, with every entry shown as an exact fraction in lowest terms. Just enter the number of rows and read off the values, each computed as (1/k) × C(n,k).
Nth Root
Find the nth root of any real number: enter the number and the root degree (2 for square root, 3 for cube root, or any degree up to 100). The calculator returns the exact decimal value instantly.
Geometric Mean
Calculate the geometric mean of any set of positive numbers. Enter how many values you have, type them in, and get the n-th root of their product instantly — ideal for growth rates, ratios, and returns.
Scientific
Evaluate arithmetic, powers, roots, trigonometric functions, logarithms and factorials. Enter an expression, choose degrees or radians, and press =.
Floyd’s Triangle Sum
Generate Floyd's Triangle up to 500 rows and instantly get the sum of every row plus the total sum of all numbers, using the closed-form row sum formula n(n² + 1)/2.
Harmonic Mean
Enter two or more positive numbers and this calculator returns their harmonic mean — the reciprocal-of-the-average-of-reciprocals, ideal for averaging rates and speeds.
Multiplicative Inverse Modulo
Find the modular multiplicative inverse of a number: enter a value a and a modulus n, and the calculator solves a·x ≡ 1 (mod n) using the Extended Euclidean Algorithm, with a verification of the result.
Fermat’s Little Theorem
Verify Fermat's Little Theorem online: enter a base a and a prime p, and the calculator computes a^(p-1) mod p and checks whether the result equals 1. Useful for number theory, primality testing and cryptography.
Sig Figs
Count the significant figures of any number, round it to N sig figs, or add, subtract, multiply and divide two numbers with the correct sig fig rules applied automatically.
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