0
Divide 2880 by 5 to give the perfect square 576 = 242.
First write 2880 in its prime factorisation in power form:
2880 = 26 x 32 x 51
To be a perfect square, all the prime factors need to have an even power, so to find the smallest number by which to divide to get a perfect square only all the odd powers need to be reduced by 1; only the power of the prime factor 5 is odd and needs to be reduced by 1, so divide by 5.
Still curious? Ask our experts.
Chat with our AI personalities
Professor
Ross
Jordan
Add your answer:
Earn +20 pts
Which is the smallest number that divides 4375 and is a perfect square?
25
What is the smallest number that divides 1800 to give a perfect square?
It is 2 because 1800/2 = 900 which is a perfect square because 302 = 900
What is the smallest number that divides 1152 to give a perfect square?
The smallest integer is 2.There is no smallest number. Dividing 1152 by any number of the form x = 1/(2k2) where k is an integer will result in a perfect square. Since there is no limit to how large k can be, there is no limit to how small x can be.
What is the smallest square number greater than 100?
The smallest perfect square is 121.
Find the smallest number by which 9408 must be divided so that it becomes aperfect square?
find the smallest number by which 9408 must be multiplied to get a perfect square/ also find the square of the number
