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Chinese Remainder Theorem Solver

Find the unique integer that satisfies multiple simultaneous modular congruences. Use this when solving scheduling puzzles, cryptographic problems, or any system where a number must leave specific remainders under different divisors.

First Remainder (r₁)

First Modulus (m₁)

Second Remainder (r₂)

Second Modulus (m₂)

Third Remainder (r₃) - Optional

Third Modulus (m₃) - Optional

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Number Theory

Prime Factorization Calculator

Break any integer into its prime building blocks instantly. Use this when simplifying fractions, finding GCDs, or verifying primality. Results display as a product or exponent form.

Number to Factorize

Display Format

Include 1 in Results

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Key differences

	Chinese Remainder Theorem Solver	Prime Factorization Calculator
Category	Number Theory	Number Theory
Inputs required	6	3
Result	Solution (x)	Prime Factors
What it does	Find the unique integer that satisfies multiple simultaneous modular congruences. Use this when solving scheduling puzzles, cryptographic problems, or any system where a number must leave specific remainders under different divisors.	Break any integer into its prime building blocks instantly. Use this when simplifying fractions, finding GCDs, or verifying primality. Results display as a product or exponent form.