# Category:Modulo Arithmetic

Jump to navigation
Jump to search

This category contains results about **Modulo Arithmetic**.

Definitions specific to this category can be found in Definitions/Modulo Arithmetic.

**Modulo arithmetic** is the branch of abstract algebra which studies the residue class of integers under a modulus.

As such it can also be considered to be a branch of number theory.

## Subcategories

This category has the following 34 subcategories, out of 34 total.

### A

### C

- Congruence of Quotient (7 P)

### D

### E

- Examples of Modulo Operation (17 P)

### F

### I

### M

### P

- Polynomial Congruences (1 P)
- Powers of 16 Modulo 20 (3 P)
- Powers of 3 Modulo 8 (3 P)

### R

- Restricted Dipper Operations (3 P)
- Restricted Dipper Relations (4 P)

### S

- Square Modulo 3 (4 P)

### W

- Wilson's Theorem (13 P)

## Pages in category "Modulo Arithmetic"

The following 71 pages are in this category, out of 71 total.

### C

- Cancellability of Congruences
- Chinese Remainder Theorem
- Common Factor Cancelling in Congruence
- Congruence by Divisor of Modulus
- Congruence by Divisor of Modulus/Integer Modulus
- Congruence by Factors of Modulo
- Congruence by Product of Moduli
- Congruence by Product of Moduli/Real Modulus
- Congruence Modulo Integer is Equivalence Relation
- Congruence Modulo Negative Number
- Congruence Modulo Real Number is Equivalence Relation
- Congruence Modulo Zero is Diagonal Relation
- Congruence of Powers
- Congruence of Product
- Congruence of Quotient
- Congruent Integers less than Half Modulus are Equal
- Congruent Numbers are not necessarily Equal
- Congruent to Zero iff Modulo is Divisor
- Cube Modulo 9

### E

### F

### I

- Integer Coprime to Modulus iff Linear Congruence to 1 exists
- Integer Coprime to Modulus iff Linear Congruence to 1 exists/Corollary
- Integer has Multiplicative Order Modulo n iff Coprime to n
- Integer is Congruent Modulo Divisor to Remainder
- Integer is Congruent Modulo Divisor to Remainder/Corollary
- Integer is Congruent to Integer less than Modulus
- Integer of form 6k + 5 is of form 3k + 2 but not Conversely
- Integer to Power of p-1 over 2 Modulo p
- Intersection of Congruence Classes