{"uid":"cap_AzheqlgwLdWG5Elx3op5I","slug":"numora-prime-factorization-70d4d36c","name":"Numora Prime Factorization","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numormor.netlify.app/api/number/prime-factorization","method":"POST","headers":{},"bodySchema":{"type":"object","required":["n"],"properties":{"n":{"type":"integer"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":{"p10Cents":"10.0000","medianCents":"10.0000","p90Cents":"10.0000","minCents":"10.0000","maxCents":"10.0000","p95Cents":"10.0000","sampleCount":1,"varies":false,"failureChargeRate":1},"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_Th_z_S9E7oqDJPJAUfHG6","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the complete prime factorization of a given integer, returning all prime factors and their exponents","exampleAgentPrompt":"What is the prime factorization of 360? Break it down into all its prime factors and exponents.","exampleUseCases":null,"resultDescription":"A JSON object with success=true, a result object containing the prime factors and their respective exponents (e.g. {2:3, 3:2, 5:1} for 360), and a human-readable computation string describing what was computed.","failureModes":["Missing required field 'n' returns a 400 validation error","Non-integer or float value for n may return a schema validation error","Very large integers may time out or return a computation error","Negative integers or zero may return an error if not supported","Payment failure via x402 micropayment returns 402 Payment Required"],"whenToPreferThis":"Choose this endpoint when you need a precise, deterministic prime factorization of an integer with no external dependencies and instant results. Ideal for number theory tasks, cryptography prep, LCM/GCD computations, or educational tools where you need the canonical prime decomposition.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:50:51.445Z","isFirstParty":false}