Factor Calculator

Name: Factor Calculator
Author: Jitendra Kumar

Find all factors of a whole number with factor pairs, prime factorization, factor count, proper factors, and number classification.

Last Updated: May 2026

Whole number

Enter one nonzero integer. Negative inputs use the same positive factors as their absolute value.

Positive factors

1, 2, 3, 4, 6, 9, 12, 18, 36

Factor count

Prime factorization

2^2 x 3^2

Classification

Composite perfect square

Property	Value
Input	36
Absolute value used	36
Prime factorization	2^2 x 3^2
Positive factors	1, 2, 3, 4, 6, 9, 12, 18, 36
Proper factors	1, 2, 3, 4, 6, 9, 12, 18
Sign note	Positive factor list shown.

Factor pairs

Each pair multiplies to the absolute value. Negative inputs also have matching negative-positive signed pairs.

Proper factors

Proper factors exclude the number itself. Their sum helps identify perfect, deficient, and abundant behavior.

Prime powers

Prime factorization gives a compact way to audit every divisor and count factors from exponent choices.

Factor Pairs

Factor	Partner	Check
1	36	1 x 36 = 36
2	18	2 x 18 = 36
3	12	3 x 12 = 36
4	9	4 x 9 = 36
6	6	6 x 6 = 36

Integer Factor Notice

This calculator is for integer factors and educational checking. Decimal inputs are not supported, and zero is excluded because it has infinitely many integer divisors.

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 Factor Calculator

Enter one nonzero whole number. The calculator accepts positive or negative integers up to an absolute value of 1,000,000,000,000.

Review the full factor list, factor pairs, prime factorization, factor count, and classification. Negative inputs use the same positive factors as their absolute value.

Step 1: Enter a whole number
Use one nonzero integer.
Step 2: Read the factor list
The highlighted result shows every positive factor.
Step 3: Check factor pairs
Use the pair table to verify each multiplication product.
Step 4: Review prime factorization
Use prime powers to audit the factor count and number type.

How This Factor Calculator Works

The calculator normalizes the input to its absolute value, finds the prime factorization by trial division, then builds every positive divisor from the prime powers.

Factor pairs are formed by pairing each divisor d with n / d. The table stops naturally when the first factor is larger than its partner.

The factor count comes from prime exponents. For example, if n = 2^2 x 3^2, the number of positive factors is (2 + 1)(2 + 1) = 9.

Factor Guide

Core Factor Rules

Concept	Rule	Use
Factor definition	d divides n when n / d has no remainder	Identifies every divisor of the number.
Factor pair	a x b = n	Shows two factors that multiply to the original value.
Prime factorization	n = p1^a x p2^b x ...	Breaks the number into prime powers.
Factor count	(a + 1)(b + 1)...	Counts positive factors from prime exponents.
Proper factors	all positive factors except n	Used for perfect, abundant, and deficient checks.

Factor Examples

Input	Factors	Notes
36	1, 2, 3, 4, 6, 9, 12, 18, 36	2^2 x 3^2
97	1, 97	Prime number
144	1 through factor pairs ending 12 x 12	Perfect square
28	1, 2, 4, 7, 14, 28	Perfect number because proper factors sum to 28

Factor Context

Factors are the building blocks for divisibility tests, simplifying fractions, finding GCF and LCM, prime factorization, number classification, and many algebra and arithmetic workflows.

Keep the research moving with Modulo Calculator, GCF Calculator, LCM Calculator, and Integer Calculator.