CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the smallest number(s) by which 3087,33275,120393 must be divided respectively so that quotient is a perfect cube.

Open in App
Solution

Consider 3087

33087310297343749771

3087=33×73

Hence, 3087 must be divided by 9 to make it a perfect cube.

30879=343=73

Consider 33275

533275566551113311112111111

33275=52×73

Hence, 33275 must be divided by 25 to make it a perfect cube.

3327525=1331=113

Consider 120393,

312039334013131337774459763779113131

120393=33×73×13

Hence, 120393 must be divided by 13 to make it a perfect cube.

12039313=9261=33×73=213


flag
Suggest Corrections
thumbs-up
11
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Prime Factorisation_Tackle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon