Q: How many positive integers less than 100 have the sum of their digits equal to a perfect square?

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Only if the integer is a perfect square.

No. Convention defines perfect squares as squares of positive integers.

3

The number 8 is not a perfect square because it is not classified as the product of two positive integers. The number 8 is classified as a perfect cube, however.

a perfect square

It is a perfect square.

102 = 100 which is the first possible three digit number that is a perfect square. 312 = 961 which is the last possible three digit number that is a perfect square. So there are 22 three digit positive numbers that are perfect squares.

Such a number is called a "perfect square".

Perfect Square

It is a perfect square.

perfect squares

The square root of 1/100 is 1/10 which is a perfect square but perfect square are usually integers.

A perfect square is a number that can be expressed as the product of two equal integers.

A perfect square other than 0.

perfect square

No, a perfect square is a number that can be expressed as the product of two equal integers.

The product of four consecutive integers is always one less than a perfect square. The product of four consecutive integers starting with n will be one less than the square of n2 + 3n + 1

MB55

121.

64. 4x4x4 and 8x8

0

A perfect square number is a number that can be expressed as the product of two same common integers. For instance, 16 is a perfect square since it is expressed as 4 x 4. 14 is not the perfect square since it can't be expressed as two common integers. The factors of 14 are 2 and 7.

8362 = 698896

1,4,9,16,25,36,49,64,81

No. There are no integers that when multiplied by themselves equal 17.

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