Archimedes is bored!

Number Theory Level 2

A bored Archimedes decided to calculate 15! His result is 1A0767436B000. What is the product of the missing digits? (Do not use a calculator.)

0 32 24 6 18

Ekene Franklin by EKENE FRANKLIN , 16, Nigeria

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2 solutions

Use divisibility rules for 7 7 and 11 11 . Note that 15 ! 15! is divisible by both. Also, use the multiple choice elimination.

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B D
Aug 31, 2018

You can use a calculator. Just make it bigger so you can see this button "x!"(you need a calculator on your computer or phone) write 15 and click the button you will see 1 307 674 368 000 and this is what the bored Archimedes get 1A0767436B000. The missing numbers are 3 and 8 their product is 24.

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