Q: How many of the positive integer factors of 432 are perfect squares?

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The positive integer factors of 36 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 36 The perfect squares in this list are: 1, 4, 9, 36

factors are 2 x 36, 4 x 18 and 8 x 9 so there are three perfect squares, 4, 9 and 36.

In terms of prime factors, 1008 = 24*32*7 Then since 24 and 32 are perfect squares, all that is required is to make 7q a perfect square and so q = 7.

The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.

perfect squares

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The positive integer factors of 36 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 36 The perfect squares in this list are: 1, 4, 9, 36

factors are 2 x 36, 4 x 18 and 8 x 9 so there are three perfect squares, 4, 9 and 36.

All positive integers which are not perfect squares.

In terms of prime factors, 1008 = 24*32*7 Then since 24 and 32 are perfect squares, all that is required is to make 7q a perfect square and so q = 7.

perfect squares

The proposition in the question is simply not true so there can be no answer!For example, if given the integer 6:there are no two perfect squares whose sum is 6,there are no two perfect squares whose difference is 6,there are no two perfect squares whose product is 6,there are no two perfect squares whose quotient is 6.

0,1,4,16 are all factors of 60 and are perfect squares.

perfect squares

A perfect square is an integer (whole number) times itself. E.g. 3*3 = 9, or -4*-4 = 16. A negative number times a negative number is a positive number. This means a negative number times itself would be positive. It also holds true for all squares, not just perfect squares. E.g., -1.3 * -1.3 = 1.69 (which is positive).

A perfect square has the condition that it must be any positive integer multiplied by itself. The closest perfect squares to 50 are 7*7 = 72 = 49 and 8*8 = 82 = 64 since 50 lies between 49 and 64, it must be it is not the square of a positive integer and, therefore, is not a perfect square.

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

yes it can All perfect squares are rational numbers as the definition of a perfect square is a number which is the product of an integer with itself. An integer is a rational number, and multiplying an integer by an integer produces another integer.