Q: What number is a 3 digit square number with the product of its digits equal to 2?

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81

225 = (15)2 2*2*5=20 3 digits in 225

It can have up to 5 digits.

81

Every square of a 4 digit number has more than four digits.

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81

1

225 = (15)2 2*2*5=20 3 digits in 225

121 because 2x1x1=2 and 11x11=121

It can have up to 5 digits.

81

Six.

49

Every square of a 4 digit number has more than four digits.

You had me until "product." The product of 4 digits can't be prime.

81...........

362x(3x6)