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Chinese Remainder Theorem Solver

Solve systems of simultaneous modular congruences using the Chinese Remainder Theorem (CRT). Essential for cryptography, competitive programming, and advanced number-theory coursework.

First Remainder (a₁)

First Modulus (m₁)

Second Remainder (a₂)

Second Modulus (m₂)

Third Remainder (a₃, 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	Solve systems of simultaneous modular congruences using the Chinese Remainder Theorem (CRT). Essential for cryptography, competitive programming, and advanced number-theory coursework.	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.