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What is the smallest number that will divide into 216 to get a perfect square

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Final answer:

The smallest number that will divide into 216 to get a perfect square is 36.


Step-by-step explanation:

To find the smallest number that will divide into 216 to get a perfect square, we need to factorize 216. The prime factorization of 216 is 2^3 * 3^3. In order for a number to be a perfect square, the exponents of all prime factors must be even. Therefore, the smallest number that will divide into 216 to get a perfect square is 2^2 * 3^2 = 4 * 9 = 36.


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