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Prime Factorization API
x402
Prime Factorization API is a paid API for AI agents from sovereign-x402-zeta.vercel.app, paid per call via x402, $0.001/call, status unknown (last checked 2026-10-11).
Decomposes a given integer into its prime factors via a paid HTTP endpoint.
Price / call$0.001
Success—
StatusUnknown
How this service works
Factorize a given number into its prime factors.
Output
Returns the prime factorization of the input integer, typically as a list of prime numbers that multiply together to produce the original number (e.g., 360 → [2, 2, 2, 3, 3, 5]).
Example use cases
Prime factorization for cryptography learning
“What are the prime factors of 2048? I'm studying RSA encryption and need to understand how numbers break down into primes.”
Math homework prime decomposition
“Can you break 720 down into its prime factors? I need to show the full prime factorization for my math assignment.”
Algorithm verification step
“Factorize 9999991 into its prime factors — I want to verify whether it's prime or a composite number before using it in my code.”
Technical details
Endpoint
POSThttps://sovereign-x402-zeta.vercel.app/api/v1/sequence/factorize?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need on-demand prime factorization of integers without running local computation, especially in agentic workflows that already integrate x402 micropayments. Prefer this over local implementations when running in sandboxed environments without math libraries.
Side effects
- Non-integer or non-numeric input returns a validation error
- Negative numbers or zero may not be supported and return an error
- Very large numbers may time out or exceed computation limits
- Missing required body field returns a 422 or 400 error
- Payment failure or insufficient USDC balance returns a 402 error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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