Find the unit digit of the product: 784 × 618 × 917 × 463.

Problem Restatement

Determine only the units digit (last digit) of the large product 784 × 618 × 917 × 463.

Concept / Approach

The unit digit of a product depends only on the unit digits of the factors.

Step-by-Step Calculation

Consider unit digits: 784 (→ 4), 618 (→ 8), 917 (→ 7), 463 (→ 3)Multiply sequentially (keep only unit digit at each step):4 × 8 = 32 → unit digit 22 × 7 = 14 → unit digit 44 × 3 = 12 → unit digit 2

Common Pitfalls

• Unnecessary full multiplication; tracking only unit digits suffices.

Final Answer

2