If the number 918762 is divisible by 8, what is the smallest digit that can replace ?

Given data

• Number: 918762
• Divisibility condition: divisible by 8

Concept / Approach

• A number is divisible by 8 if its last three digits form a number divisible by 8.

Step-by-step calculation

Last three digits = 62 → consider 602, 612, 622, 632, 642, 652, 662, 672, 682, 692Check divisibility by 8: 632 ÷ 8 = 79 (exact)Smallest digit that works is 3

Verification

Other smaller candidates fail: 602 mod 8 = 2, 612 mod 8 = 4, 622 mod 8 = 6.

Common pitfalls

• Testing the full number unnecessarily; only the last three digits matter for divisibility by 8.

Final Answer

Smallest possible digit is 3.