Find the smallest number by which 1375must be divided so that the quotient is a perfect cube
Answers
Answered by
1
The prime factorisation of 1375 is,
1375 =
5 × 5 × 5
× 11
Since the prime factor 11 does not occur
in the group of 3, so the given number
is not a perfect cube.
In order to make it a perfect cube, it
must be divided by 11.
Now,
1375 ÷ 11 = 125 (perfect cube number)
1375 =
5 × 5 × 5
× 11
Since the prime factor 11 does not occur
in the group of 3, so the given number
is not a perfect cube.
In order to make it a perfect cube, it
must be divided by 11.
Now,
1375 ÷ 11 = 125 (perfect cube number)
Answered by
1
the smallest no. is 11.
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