Integer factorial

integer-factorial · version 1.0.0 · Numbers & math · free, no key needed

Compute n! (n factorial) exactly for a bounded non-negative integer n.

Use when you need to: integer factorial · n factorial · compute n!.

Supported

• integer factorial
• n factorial
• compute n!

Not supported

• negative factorial
• gamma function
• double factorial

Behavior

• n is a JSON integer from 0 to 100000.
• 0! is 1 by convention.
• The result is computed exactly with BigInt multiplication, never floating point.
• Requests whose exact result would exceed 1000 digits are rejected rather than truncated; in practice this rejects n much smaller than the nominal input ceiling.

Input

• n (integer, required): min 0; max 100000

Output

• value (string, required)

Limits

• max n: 100000
• max digits: 1000

Example

Request input:

{
  "n": 10
}

Response:

{
  "result": {
    "value": "3628800"
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "integer-factorial",
  "version": "1.0.0",
  "input": {
    "n": 10
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/integer-factorial/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"n":10}'

The machine-readable contract is at /v1/tools/integer-factorial/versions/1.0.0.

CLI

node cli.mjs run integer-factorial 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.

Related tools

• Array integer GCD: Compute the non-negative greatest common divisor of an array of canonical integer strings.
• Array integer LCM: Compute the non-negative least common multiple of an array of canonical integer strings.
• Integer binomial coefficient: Compute the exact binomial coefficient C(n, k), the number of ways to choose k items from n.
• Integer permutations count: Compute the exact number of k-permutations of n distinct items, P(n, k) = n! / (n-k)!.
• Array integer adjacent diff: Replace an array of canonical integer strings with consecutive first differences.
• Array integer clamp: Clamp an array of canonical integer strings to optional inclusive min and max bounds.