Two-Digit Number Whose Digit Product Equals Half Itself

Brain Teaser · Easy · Free problem
Find a two-digit number with the following property: when you multiply its two digits together, the result equals half the original number. For example, for the number $36$, the digits are $3$ and $6$, and $3 \times 6 = 18 = 36/2$. Does $36$ satisfy the condition? Verify, and determine if there are other solutions.

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