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Question

(A) First,find the prime factorization of $74088$:$74088 = 2 	imes 2 	imes 2 	imes 3 	imes 3 	imes 3 	imes 7 	imes 7 	imes 7$Grouping the prim

Vedclass · Accepted Answer

$42$

Vedclass · Answer

(A) First,find the prime factorization of $74088$:$74088 = 2 	imes 2 	imes 2 	imes 3 	imes 3 	imes 3 	imes 7 	imes 7 	imes 7$Grouping the prime factors into pairs:$74088 = (2 	imes 2) 	imes (3 	imes 3) 	imes (7 	imes 7) 	imes (2 	imes 3 	imes 7)$To make the number a perfect square,every prime factor must be in a pair. The factors $2, 3,$ and $7$ are left unpaired.Therefore,the required number to multiply is $2 	imes 3 	imes 7 = 42$.$2$$74088$$2$$37044$$2$$18522$$3$$9261$$3$$3087$$3$$1029$$7$$343$$7$$49$$7$$7$$1$

Find the least number,which,when multiplied with $74088$ will make it a perfect square.

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