Digit of unit place in the product of (378 × 236 × 459 × 312) is
2017
Digit of unit place in the product of (378 × 236 × 459 × 312) is
- A.
4
- B.
2
- C.
8
- D.
6
Attempted by 151 students.
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Correct answer: A
Key insight: the units digit of a product depends only on the units digits of the factors.
Step 1: Take the units digits of each number: 378 → 8, 236 → 6, 459 → 9, 312 → 2.
Step 2: Multiply these units digits step by step, keeping only the units digit at each step: 8×6 = 48 → units 8; 8×9 = 72 → units 2; 2×2 = 4 → units 4.
Step 3: The final units digit is 4.
Therefore, the units digit of the product (378 × 236 × 459 × 312) is 4.