Question

find the smallest number by which each of the given numbers must be multiplied so that the product is a perfect square:
a) 1323 b)35280

Answer 1

First find the prime factors of 1323
1323=3×441
=3×3×147
=3×3×3×49
=3×3×3×7×7
3×3×3×7×7 are they prime factors of 1323
now form pairs of two same numbers which number remains only one is your answer
means here you have to multiply 1323 by 3
now similarly find prime factors of 35280
35280=2×17640
=2×2×8820
=2×2×2×4410
=2×2×2×2×2205
=2×2×2×2×3×735
=2×2×2×2×3×3×245
=2×2×2×2×3×3×5×49
=2×2×2×2×3×3×5×7×7
here 5 left alone so your answer is 5
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Answer 2

Answer:

5 is the answer

Step-by-step explanation:

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