875,Find the smallest number by which the given number must be multiplied to obtain a perfect cube.
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when we multiply it by 49 we get perfect cube
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Hi ,
Resolve the number into product of
prime .
5 | 875
__________
5 | 175
__________
5 | 35
__________
7 | 7
_______
****1
875 = 5 × 5 × 5 × 7
5 is in group of 3 .
To make 875 perfect cube we have to
multiply with ( 7 × 7 ) = 49
i.e 875 × 49 = 5³ ×7³
= ( 5 × 7 )³
= 35³ [ perfect cube ]
I hope this helps you.
: )
Resolve the number into product of
prime .
5 | 875
__________
5 | 175
__________
5 | 35
__________
7 | 7
_______
****1
875 = 5 × 5 × 5 × 7
5 is in group of 3 .
To make 875 perfect cube we have to
multiply with ( 7 × 7 ) = 49
i.e 875 × 49 = 5³ ×7³
= ( 5 × 7 )³
= 35³ [ perfect cube ]
I hope this helps you.
: )
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