What's the difference between factors and multiples?

Factors divide into a number evenly, while multiples are what you get when you multiply by integers. For 12: factors are 1,2,3,4,6,12 (divide into 12), multiples are 12,24,36,48... (12 times integers).

How do I find factor pairs?

Factor pairs are two numbers that multiply to give the original number. For 12: (1,12), (2,6), (3,4). Start with 1 and the number, then work inward until factors meet or cross.

What makes a number prime or composite?

Prime numbers have exactly two factors: 1 and themselves (like 2,3,5,7,11). Composite numbers have more than two factors (like 4,6,8,9,10). The number 1 is neither prime nor composite.

How are factors used in real life?

Factors help with dividing objects into equal groups, finding common denominators, determining gear ratios, organizing items in rectangular arrangements, and solving scheduling problems.

Factor Calculator – Find All Factors

Find all factors of a number including prime factorization. Discover divisors, factor pairs, and understand number properties.

Factor Calculator – Find All Factors

Find all factors of a number including prime factorization. Discover divisors, factor pairs, and understand number properties.

Number*

Enter a positive integer

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Understanding Factors

A factor of a number is any integer that divides the number evenly (with no remainder). Finding factors is important for understanding number properties, simplifying fractions, and solving various mathematical problems.

Types of Factors

Different ways to think about factors:

Proper factors: All factors except the number itself
Factor pairs: Two factors that multiply to give the original number
Prime factors: Factors that are prime numbers
Composite factors: Factors that are composite numbers
Common factors: Factors shared between multiple numbers

How to Use This Calculator

Follow these simple steps to get accurate results:

Enter your number
Click the "Calculate" button to see your results
Review the detailed breakdown and explanation

Why Use Our Factor Calculator – Find All Factors?

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Instant, accurate calculations with professional formulas
Mobile-friendly design that works on any device
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Educational content to help you understand the results

Frequently Asked Questions

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