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Well, honey, let me break it down for you. The prime factorization of 432 is 2^4 * 3^3. To find the number of perfect square factors, you look at the exponents of the prime factors. Since perfect squares have even exponents, you can choose 2 exponents for 2 (0, 2, or 4) and 2 exponents for 3 (0 or 2). So, you have 3 choices for 2 and 2 choices for 3, giving you a total of 3 * 2 = 6 perfect square factors of 432.
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How many factors of 36 are perfect squares?
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
How many positive integer factor of 72 are perfect squares?
factors are 2 x 36, 4 x 18 and 8 x 9 so there are three perfect squares, 4, 9 and 36.
What is the smallest positive integer q for which 1008q is a perfect square?
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.
How can you two perfect squares for a given integer?
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.
What are numbers squared of an integer called?
perfect squares
How many factors of 36 are perfect squares?
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
How many positive integer factor of 72 are perfect squares?
factors are 2 x 36, 4 x 18 and 8 x 9 so there are three perfect squares, 4, 9 and 36.
What numbers always have an even number of factors?
All positive integers which are not perfect squares.
What is the smallest positive integer q for which 1008q is a perfect square?
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.
What has integer's as square roots?
perfect squares
How can you two perfect squares for a given integer?
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.
What are numbers squared of an integer called?
perfect squares
Why are perfect squares never negative?
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).
Why is 50 not a perfect square?
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.
Is zero perfect square?
No. Convention defines perfect squares as squares of positive integers.
Can a perfect square be a rational number?
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.
How are square roots and perfect squares related?
The square root of every perfect square is an integer. However, there are also square roots of numbers that are not perfect squares.
