A very large number x is equal to 2^3*4^5*6^7*8^9. What is the smallest positive integer that, when multiplied with x, produces a product that is a perfect square?
2^3 * 4^5 * 6^7 * 8^9 =
2^3 * (2^2)^5 * 2^7 * 3^7 * (2^3)^9 =
2^3 * 2 ^10 * 2^7 * 2^27 * 3^7 =
2^47 * 3^7
We need 2 * 3 = 6
CORRECTED !!!!
1 - The smallest integer ==2 * 3 ==6>>>>>1.846757322198614016e+18 = 2^48 * 3^8
2 - The next smallest ==24 = 2^3 * 3
3 - The next smallest ==54 = 2 * 3^3
4- The next smallest==96 = 2^5 * 3
