Answer :
625
Prime Factorization:
⇒ 625 = 5 × 5 × 5 × 5
= 53 × 5
There is only one 5.
∴ 625 is not a perfect cube.
Since in factorization, 5 appear only one time, we should divide the number 625 by 5.
⇒ 625 ÷ 5 = 125
= 5 × 5 × 5
= 53
∴ The smallest number by which the number 625 must be divided 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.
Related Videos
Quiz | Imp. Qs. on Playing With Numbers45 mins
Quiz | Become a Master in Rationalisation46 mins
Real meaning of Geography42 mins
Mathematics in Real Life34 mins
Champ Quiz | Number Series28 mins
Smart Revision | Quiz on Rational Number45 mins
Quiz | Imp. Qs. on Rational Numbers42 mins
NCERT | Quick Revision of Rational Number44 mins
On the Number line44 mins
Lets Explore the Number Line - Rational Numbers43 mins
Quiz | Imp. Qs. on Playing With Numbers45 minsQuiz | Become a Master in Rationalisation46 minsReal meaning of Geography42 minsMathematics in Real Life34 minsChamp Quiz | Number Series28 minsSmart Revision | Quiz on Rational Number45 minsQuiz | Imp. Qs. on Rational Numbers42 minsNCERT | Quick Revision of Rational Number44 minsOn the Number line44 minsLets Explore the Number Line - Rational Numbers43 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view 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