World's smallest number should 7803 be multiplied with so that the product becomes a perfect cube
Answers
Answered by
0
Step-by-step explanation:
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Answered by
1
Answer:
Given a number as 7803 . we need to find out a number which multiplied by the given number we get a perfect cube
Step-by-step explanation:
step 1: Resolve 7803 into prime factors
3×3×3×17×17 = 7803.....( by prime factors )
step 2: pair the factors obtained in the group of three =( 3 × 3 × 3 ) × ( 17 × 17 )
step 3 : multiply the number with the factor which is alone ,
Hence, 3 is in group of three and 17 is alone.
= 7803 × 17 = 132651
Hence , 17 is the smallest number which is to be multiplied
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