How to Find the smallest number by which each of the given number must be multiplied so that the product is a perfect square
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First find the prime factors of the the number.
Pair two numbers of the factors and the one which is remaining in single, then multiply the real number by the number you have multiplied. For example,
1587
1587 = 3 * 23 * 23
So, by multiplying the factors by 3, then the factors will become paired (as 3 is only one and not double)
3 * 3 * 23 * 23
= 1587*3
= 4761
Pair two numbers of the factors and the one which is remaining in single, then multiply the real number by the number you have multiplied. For example,
1587
1587 = 3 * 23 * 23
So, by multiplying the factors by 3, then the factors will become paired (as 3 is only one and not double)
3 * 3 * 23 * 23
= 1587*3
= 4761
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