Integer Calculator

Name: Integer Calculator
Author: Jitendra Kumar

Calculate exact signed integer arithmetic, quotient and remainder, GCD, LCM, powers, absolute values, parity, and prime factors.

Last Updated: May 2026

A + B

-54

A - B

-114

A x B

-2,520

GCD

Integer Inputs

Enter signed whole numbers. Decimal and fraction values are intentionally rejected so every result stays in exact integer arithmetic.

Integer A

Integer B

Exponent n

Used for A^n, from 0 to 5,000.

Arithmetic Operations

Operation	Expression	Result
A + B	-84 + 30	-54
A - B	-84 - 30	-114
B - A	30 - -84	114
A x B	-84 x 30	-2,520
A^n	-84^4	49,787,136

Division and Number Theory

Measure	Expression	Result
Truncated quotient	-84 / 30	-2
Programming remainder	-84 % 30	-24
Euclidean remainder	0 <= r < \|30\|	6
GCD	gcd(-84, 30)	6
LCM	lcm(-84, 30)	420

Integer Properties

Property	Input	Result
A classification	-84	negative, even
B classification	30	positive, even
\|A\|	abs(-84)	84
\|B\|	abs(30)	30
A prime factors	-84	2^2 x 3 x 7
B prime factors	30	2 x 3 x 5

Integer Math Notice

This calculator is for integer arithmetic and educational use. It rejects decimals and fractions by design. Prime factorization is limited for performance, but core integer operations use exact arithmetic.

Reviewed For Methodology, Labels, And Sources

Every CalculatorWallah calculator is published with visible update labeling, linked source references, and founder-led review of formula clarity on trust-sensitive topics. Use results as planning support, then verify institution-, policy-, or jurisdiction-specific rules where they apply.

Reviewed By

Jitendra Kumar, Founder & Editorial Standards Lead, oversees methodology standards and trust-sensitive publishing decisions.

Review editor profile

Topic Ownership

Sales tax and tax-sensitive estimate tools, Education and GPA planning calculators, Health, protein, and screening-formula pages, Platform-wide publishing standards and methodology

See ownership standards

Methodology & Updates

Page updated May 2026. Trust-critical pages are reviewed when official rates or rules change. Evergreen calculator guides are checked on a recurring quarterly or annual cycle depending on topic volatility.

Sources & methodology About the review process

How to Use the Integer Calculator

Enter two signed integers A and B. Add an exponent n when you also want A raised to a nonnegative whole-number power.

Review the primary operation cards first, then use the detailed tables for division, GCD, LCM, classification, absolute values, and prime factorization.

Step 1: Enter integer A
Use a positive integer, negative integer, or zero.
Step 2: Enter integer B
B is used for binary operations, division, GCD, and LCM.
Step 3: Set the exponent
The exponent field controls the A^n power result.
Step 4: Compare results
Use the result tables to inspect arithmetic, division, and number properties.

How This Integer Calculator Works

The calculator parses each input as an integer and performs exact signed operations: addition, subtraction, multiplication, quotient, remainder, GCD, LCM, and powers.

Division by a nonzero integer reports a truncated quotient and a programming-style remainder, then separately shows the Euclidean remainder normalized into a nonnegative range.

GCD and LCM use absolute values because divisibility is based on magnitude. LCM returns zero when either input is zero.

Integer Arithmetic Guide

Core Integer Rules

Concept	Rule	Use
Integer set	..., -2, -1, 0, 1, 2, ...	Signed whole numbers without fractions or decimals.
Addition	A + B	Combines two integers into an exact integer sum.
Subtraction	A - B	Finds a signed difference.
Multiplication	A x B	Produces an exact integer product.
Quotient and remainder	A = Bq + r	Splits integer division into quotient and remainder when B is nonzero.
GCD and LCM	gcd(A,B), lcm(A,B)	Common divisor and common multiple tools for integer arithmetic.

Examples

Problem	Result	Notes
-84 + 30	-54	Signed addition.
-84 - 30	-114	Subtracting a positive integer from a negative integer.
125 / 7	quotient 17, remainder 6	Truncated integer division.
gcd(-84, 30)	6	GCD uses absolute values.
lcm(-84, 30)	420	LCM is reported as a nonnegative value.

Integer Context

Integers are closed under addition, subtraction, and multiplication: combining two integers with those operations always gives another integer.

Division is different. An integer divided by another integer may not be an integer, so integer division is usually represented with a quotient and remainder.

Keep the research moving with Modulo Calculator, LCM Calculator, LCM / GCF Calculator, and Long Addition Calculator.

Frequently Asked Questions

An integer is a whole-valued positive or negative number, or zero. Integers do not include fractions or decimals.

Yes. It accepts positive integers, negative integers, and zero for signed integer arithmetic.

Yes. Core operations use integer arithmetic rather than floating-point decimal arithmetic, so large integer results are exact.

The programming-style remainder follows the sign behavior of the division operator, while the Euclidean remainder is normalized into the range from 0 to the absolute divisor minus 1.

This calculator is intentionally for integers only. Use a scientific calculator or fraction calculator when you need non-integer arithmetic.

It calculates arithmetic for large integers exactly, but prime factorization is shown only for absolute values up to 1,000,000 to keep the browser responsive.