Find the smallest number by which 60 must be multiplied to give a perfect square?
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Determine the smallest number by which 60 must be multiplied to give a perfect square.
In order to determine the smallest number, we must list all the perfect squares and see which are divisible by 60.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900
Notice that we can divide 900 by 60.
= 900/60
= 30
Final answer:
The smallest number that can be multiplied to 60 to get a perfect square is 30