To calculate the remainder when multiplying the numbers 3, 4, 2, 3, 2, 2, 14, and 2, we first need to perform the multiplication:
1. First, multiply the numbers:
3 * 4 = 12
2. Next, multiply by 2:
12 * 2 = 24
3. Then, continue with another multiplication by 3:
24 * 3 = 72
4. Now multiply by 2 again:
72 * 2 = 144
5. Next, multiply by 2 once more:
144 * 2 = 288
6. Next, multiply by 14:
288 * 14 = 4032
Finally, since we’re only asked for the remainder, we would typically divide the product by a specific number. If no divisor is specified, we may present the entire product. Thus, the remainder remains:
Remainder: 4032