Which is the smallest number that can be multiplied to 7920 to give a perfect square?
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Which is the smallest number that can be multiplied to 7920 to give a perfect square?
Prime factorization of 7920 is
10 x 792
2x5 x 2 x 396
2x5x2x2x198
2x5x2x2x2x99
2x5x2x2x2x3x3x11
A square number has an even number of each prime factor in its factorization.
24×32×5×11 Requires an extra factor of 5 and 11 to be perfect square. So 7920×55 is a perfect square.
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