AI Solver by AskSia

Factors Solver: numbers or polynomials, every strategy

List all factors of any number with the prime factorization shown, or factor any polynomial completely using the right strategy (GCF, grouping, special forms, AC method, rational root theorem). AskSia handles every factoring task step-by-step.

Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
Quick Answer

What is the AskSia factors solver?

The AskSia factors solver handles two related tasks. For integers, AskSia finds the complete list of positive factors (divisors), shows the prime factorization with exponents, and counts the total number of factors using the divisor formula. For polynomials, AskSia factors completely by picking the right strategy in order: GCF first always, then check for special forms (difference of squares, sum/difference of cubes), grouping for four-term polynomials, trinomial factoring (with AC method when needed), and the rational root theorem for higher-degree cases.

98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver

Factoring, every strategy in order.

Both number and polynomial factoring follow strategy hierarchies. GCF first. Then specific patterns. Then general methods. AskSia walks the hierarchy.

All number factors via primes

For any positive integer, AskSia finds the prime factorization (like 60 = 2² × 3 × 5), then constructs all divisors by combining the primes in every possible way. The complete list of factors is returned, ordered from 1 to n.

All divisors

Factor count formula

If n = p₁^a₁ × p₂^a₂ × ... × pₖ^aₖ, the total number of positive factors is (a₁ + 1)(a₂ + 1)...(aₖ + 1). AskSia computes this directly, useful when only the count is needed.

Divisor count

GCF first for polynomials

Always start polynomial factoring by pulling out the greatest common factor of all terms (numeric GCF combined with the lowest power of each variable). AskSia handles this step first on every polynomial.

GCF first

Special forms recognized

Difference of squares (a² minus b² = (a + b)(a minus b)), sum of cubes (a³ + b³ = (a + b)(a² minus ab + b²)), difference of cubes (a³ minus b³ = (a minus b)(a² + ab + b²)). AskSia recognizes each pattern and applies the formula directly.

Special forms

Trinomials with AC method

For trinomials ax² + bx + c, AskSia finds two numbers that multiply to ac and add to b, then uses them to split the middle term and factor by grouping. The AC method extends regular trinomial factoring to cases with leading coefficient ≠ 1.

AC method

Rational root theorem

For polynomials of degree 3 or higher, AskSia uses the rational root theorem to find candidate rational roots, then synthetic division to factor out (x minus root). This reduces the polynomial's degree by 1, after which the process repeats or factoring is complete.

Higher degree
How It Works

Three taps to all factors found.

Step 01

Capture the input

Snap a photo, paste, or type the integer or polynomial. AskSia handles both inputs and identifies whether to use number factoring or polynomial factoring.

Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02

Watch Sia apply the strategy

For numbers, the prime factorization is shown and all factors are listed. For polynomials, AskSia walks through the strategy hierarchy: GCF, special forms, grouping, AC method, rational roots.

Calculus · Step 4 of 4
1.4s
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03

See the complete factoring

All factors of the integer, or the fully factored form of the polynomial. Ask follow-up questions or generate practice problems.

Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
Available On

Solve anywhere
you study.

Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.

Web App

Full study studio

Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.

Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
app.asksia.ai/solver
Hi! What are we studying today?
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App

Snap & solve, anywhere

Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.

One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
AskSia
+
What can I do for you?
Homework solver
Live transcribe
File summary
Snap
YouTube
Flashcard
Calc
98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases

Every factoring task, covered.

📐

Pre-Algebra number factors

Find all divisors of an integer like 60 or 144. AskSia shows the prime factorization clearly and lists all positive divisors.

Pre-Algebra
⚛️

Algebra 1 polynomial factoring

Factor polynomials by GCF, difference of squares, or simple trinomial factoring. AskSia names the strategy for each step.

Algebra 1
🧪

Algebra 2 higher-degree polynomials

Factor cubics, quartics, and higher polynomials using the rational root theorem and synthetic division. AskSia handles the full strategy.

Algebra 2
🧬

Special factoring patterns

Difference of squares, sum and difference of cubes, perfect square trinomials. AskSia recognizes and applies the formulas directly.

Special forms
💻

Trinomial factoring with AC method

Trinomials with leading coefficient ≠ 1 (like 6x² + 7x + 2). AskSia uses the AC method: find numbers multiplying to ac, adding to b, then group.

AC method
🎯

Number theory and GCF/LCM

Finding the prime factorization of an integer is the foundation for GCF and LCM calculations. AskSia handles all three from the same prime factorization.

Number theory
Compare

AskSia vs. ChatGPT,
Photomath & Symbolab.

General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.

Feature comparison between AskSia Solver and alternatives
FeatureAskSia SolverChatGPTPhoto Solvers
Solution accuracy✓ 98%~70-85%, hallucinations~90%, math only
Auto-generated diagrams✓ Every solveInconsistent / brokenGraphs only, math-only
Step-by-step explanations✓ Numbered + plain EnglishInconsistent depth✓ Math steps
Subject coverage✓ Math, Physics, Chem, Bio, CS, Econ✓ Wide but unverifiedMath only
Photo input✓ Handwriting + diagrams + codePhotos OK, weak on handwriting✓ Math photos only
Answer verification✓ Self-checked before displayNo verificationMath engine only
Tutor follow-ups✓ Hints, alt methods, ELI5✓ General chatNot available
Practice and flashcards✓ One-tap from any solveManual promptingNot available
Code debugging✓ Python, Java, C++, SQL...✓ YesNot available
Free to start✓ Daily solves, no cardLimited model accessSteps locked behind paywall
FAQ

Frequently asked questions.

How does AskSia find all factors of a number?
AskSia first finds the prime factorization of the number using trial division (testing primes 2, 3, 5, 7, ... in order). For example, 60 = 2² × 3 × 5. Then AskSia constructs all positive factors by combining the primes in every possible way: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. The total number of factors is (2 + 1)(1 + 1)(1 + 1) = 12. AskSia lists all factors in ascending order and shows the prime factorization explicitly, which is useful for related tasks like finding GCF, LCM, and counting divisors.
What's the order of operations for polynomial factoring?
Always start with the greatest common factor (GCF) of all terms, pulling it out front. After GCF, check the structure: two terms with subtraction often means difference of squares (a² minus b²) or difference of cubes (a³ minus b³); two terms with addition often means sum of cubes (a³ + b³). Three terms (a trinomial) factors with the AC method or simple trinomial factoring. Four terms usually factor by grouping. For higher-degree polynomials (cubic and up), use the rational root theorem to find one root, factor out (x minus root) via synthetic division, and repeat on the quotient. AskSia walks through this hierarchy automatically.
What is the AC method for trinomial factoring?
The AC method factors trinomials of the form ax² + bx + c when the leading coefficient a is not 1. The steps: (1) compute ac (the product of leading coefficient and constant); (2) find two numbers that multiply to ac and add to b; (3) use those two numbers to split the middle term bx into two terms; (4) factor by grouping the four resulting terms. For example, 6x² + 7x + 2: ac = 12, two numbers that multiply to 12 and add to 7 are 3 and 4. Split: 6x² + 3x + 4x + 2. Group: 3x(2x + 1) + 2(2x + 1) = (3x + 2)(2x + 1).
When is a polynomial irreducible?
A polynomial is irreducible over the rationals if it cannot be factored into lower-degree polynomials with rational coefficients. Quadratics with negative discriminant (no real roots) are irreducible over the rationals (their roots are complex conjugates). Some higher-degree polynomials with no rational roots are also irreducible over the rationals, even though they can be factored over the reals or complex numbers using Cardano's formula or numerical methods. AskSia identifies irreducible factors and notes when no further factoring is possible over the rationals.
How accurate is AskSia?
AskSia is engineered for accuracy on standard high school and college coursework. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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All factors. Numbers or polynomials. Every strategy named.

Join 2M+ students using AskSia to find all factors of any integer, factor any polynomial completely, and learn the strategy hierarchy along the way.

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