Answer :
675
Prime Factorization:
⇒ 675 = 5 × 5 × 3 × 3 × 3
= 33 × 52
There are only two 5’s.
∴ 675 is not a perfect cube.
To make it a perfect cube, we multiply with 5.
⇒ 675 × 5 = 3375
= 5 × 5 × 5 × 3 × 3 × 3
= 33 × 53
= 153 which is a perfect cube
∴ The smallest number by which the number 675 must be multiplied to obtain a perfect cube is 5.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1<span lang="EN-US
Tamilnadu - Math Term-1