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agent402.tools Prime Factorization
x402
agent402.tools Prime Factorization is a paid API for AI agents from agent402.tools, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-14).
Computes the prime factorization of an integer (up to 10^15) via trial division, returning prime factors, a readable factorization string, primality, and distinct factor count.
Price / call$0.001
Success—
StatusUnknown
How this service works
Find the prime factorization of an integer via trial division. Returns the list of prime factors (with repeats), a human-readable factorization string, whether the number is prime, and the count of distinct prime factors. Limit: numbers up to 10^15.
Output
Returns a list of prime factors (with repetition), a human-readable factorization string (e.g. '2^4 × 3^2 × 5'), a boolean indicating whether the input is prime, and the count of distinct prime factors.
Example use cases
Example prompt
“What is the prime factorization of 720720 — tell me the list of prime factors with repeats, the factorization string, whether it's prime, and how many distinct primes it has.”
Technical details
Endpoint
POSThttps://agent402.tools/api/prime-factorizeWhen to prefer
Use this endpoint when you need to factorize a specific integer up to 10^15 and want both the raw list of prime factors and a formatted human-readable string, plus primality and distinct factor count in a single call. Prefer this over a general math API when you need trial-division factorization for number theory tasks, cryptographic analysis, or educational purposes.
Side effects
- Number exceeds 10^15 limit — request rejected
- Number is 1 or less — invalid input
- Non-integer value supplied — schema validation error
- Payment not included or insufficient — 402 Payment Required
- Network timeout on very large near-prime numbers near the limit
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| number | integer | Integer > 1 to factorize (max 10^15) |
Output
Schema · Response
{
"type": "json",
"example": {
"number": 360,
"factors": [
2,
2,
2,
3,
3,
5
],
"isPrime": false,
"factorization": "2^3 × 3^2 × 5",
"distinctFactors": 3
}
}Tags
x402
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