Question

set of numbers represent multiples of 4?

Answer 1

I’m missing the actual numbers — could you paste the set you want checked?

Meanwhile, here are quick ways to tell whether numbers are multiples of 4:

1. Definition (modular): An integer n is a multiple of 4 exactly when n ≡ 0 (mod 4).

2. Last-two-digits test (fast for base‑10 integers): An integer is divisible by 4 if and only if the number formed by its last two digits is divisible by 4. Examples:
- 124 → check 24 (24 ÷ 4 = 6) → yes.
- 130 → check 30 (30 ÷ 4 = 7.5) → no.
- 4, 8, 12, 0, −4 are all multiples of 4.

3. Binary test: In base 2, a number is a multiple of 4 if its last two bits are 00.

4. Non-integers: Fractions or decimals are only “multiples of 4” if they are equal to 4k for some integer k (so they must be integers or simplify to an integer multiple of 4).

5. Quick algorithm/pseudocode:
- For each number n in the set:
- If n is not an integer → not a multiple of 4.
- Else if (n mod 4) == 0 → multiple of 4, else not.

If you paste the actual set, I’ll mark which elements are multiples of 4.