SOLUTION: How many odd, perfect-square factors does the number 2(4th) x 3(6th) x 5(10th) x 7(9th) have? numbers in ( ) are powers.

Question 264314: How many odd, perfect-square factors does the number 2(4th) x 3(6th) x 5(10th) x 7(9th) have? numbers in ( ) are powers.
Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!
How many odd, perfect-square factors does the number 2(4th) x 3(6th) x 5(10th) x 7(9th) have? numbers in ( ) are powers.
list them is easiest way to visually see the squares
2^4
(2x2)(2x2) so 2[]s
3^6
(3x3)(3x3)(3x3) so 3[]s
5^10
(5x5)(5x5)(5x5)(5x5)(5x5) so 5[]s
7^9
(7x7)(7x7)(7x7)(7x7)(7) so 4[]s
2+3+5+4= 14 perfect squares
2 of the squares are even so there are 12 odd perfect squares
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