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What is the smallest number that divides 2880 to give a perfect square?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
Anonymous
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