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Q: What is the smallest two digit number that is divisible by both the sum and the product of its digits?

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Their product.

336

How about: 336

35 is the smallest number with ANY quantity of digits that qualifies.

2

A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.A number is divisible by 4 if the last two digits are divisible by 4.

12 or 24

55.

25 can be either the product of 1 and 25, or the product of 5 and 5. Since there are two digits in the number, the answer can only be 55. This makes sense, since 55 is divisible by 5, and the product of 5 and 5 is 25.

A number is divisible by 3 if the sum of its digits is divisible by 3.

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

19

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