MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Prime Factorisation Method to Find a Cube

Find the smal...

Question

Find the smallest number by which the following number must be divided to obtain a perfect cube.
192

A

3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 3
$F a c t o r i z a t i o n o f 192$
$192 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3$
$= 2^{6} \times 3$
$T o m a k e a p e r f e c t c u b e, w e n e e d t o h a v e m u l t i p l e s o f 3 a p o w e r s o f p r i m e f a c t o r s, i . e, w e d i v i d e t h e n u m b e r b y 3$

Suggest Corrections

thumbs-up

3

Similar questions

Find the smallest number by which the following number must be divided to obtain a perfect cube.

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Inside Cube Numbers

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Prime Factorisation Method to Find a Cube

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon