How does index*int in a for loop end up with zero as result?

TheOddCoder :

We tried just for fun to create a for loop like below. We assumed that the number we get would be very high but we got 0. Why is it 0 and not something big? We even tried it with a long because we thought it might be bigger than a int. Thanks in advance.

private static void calculate() {
    int currentSolution = 1;
    for (int i = 1; i < 100; i++) {
        currentSolution *= i;
    }
    System.out.println(currentSolution);
}

Bathsheba :

Your int is wrapping round to -2147483648 when it reaches +2147483647.

By an amazing coincidence¹, a multiplication by zero is introduced into your product.

See for yourself: write

if (currentSolution == 0){
    // What is the value of i?
}

You'll need a BigInteger to evaluate 100!.

---

¹ Really it's not that amazing: it's just that 100! has 2³² as a factor.

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