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FastX402 Prime Factorization
x402
FastX402 Prime Factorization is a paid API for AI agents from fastx402.tools, paid per call via x402, $0.001/call, status unknown (last checked 2026-10-29).
Returns the complete prime factorization of a positive integer up to 10^15, including all prime factors and their exponents.
Price / call$0.001
Success—
StatusUnknown
How this service works
200 pay-per-call tools for AI agents, from $0.001 per request in USDC on Base or Solana with x402. No account, no API key.
Output
A JSON object containing the original integer n, a flat list of all prime factors (with repetition), and an array of prime-power objects each showing a distinct prime and its exponent in the factorization.
Example use cases
Factorize large cryptographic modulus
“Can you find the prime factorization of 999999937? I need to know all prime factors and their exponents.”
Classroom math problem helper
“My homework asks for the prime factorization of 720 — can you break it down into primes and show me the exponents?”
Check divisibility structure of a number
“What are the prime factors of 1000000007 and how many times does each prime appear?”
Technical details
Endpoint
GEThttps://fastx402.tools/prime-factorize?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need fast, accurate prime factorization of integers up to 10^15 without setting up an account or API key. It is ideal for agents that occasionally need number-theory computations on demand and want pay-per-call pricing in USDC rather than a subscription. Prefer over local computation when the agent environment lacks a math library or when factorization of large numbers (close to 10^15) is needed reliably.
Side effects
- n is not a positive integer or is out of range (1 to 10^15) — likely returns a 400 or error message
- n is 0 or negative — invalid input, likely rejected
- n is too large (> 10^15) — exceeds supported range
- Payment failure or insufficient USDC balance — 402 response before computation
- Non-numeric string passed as n — schema validation error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Output
Schema · Response
{
"type": "json",
"example": {
"n": 360,
"factors": [
2,
2,
2,
3,
3,
5
],
"prime_powers": [
{
"prime": 2,
"exponent": 3
},
{
"prime": 3,
"exponent": 2
},
{
"prime": 5,
"exponent": 1
}
]
}
}Tags
x402
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