Mathematics
Junior Mathematical Challenge
2023
4

4

One of these is the largest two-digit positive integer that is divisible by the product of its digits. Which is it?

A. 12

B. 24

C. 36

D. 72

E. 96

Answer

C. 36

SOLUTIOn

Of the options given, 12 is divisible by 2, 24 is divisible by 8 and 36 is divisible by 18. However,72 is not divisible by 14 and 96 is not divisible by 54. Therefore, since we are told that oneof these is the largest two-digit number that is divisible by the product of its digits, 36 is thatnumber.

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We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
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