find the smallest number by which 490 should be multiplied to make it perfect square.
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Prime factorisation of 2592=2×2×2×2×2×3×3×3×3
On grouping the factors in pairs, we notice that one 2 is left out. Hence, we should multiply 2592 with 2, so that prime factor 2 gets grouped in pairs.
Hence, 2592 should be multiplied by 2 to make it a perfect square.
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