Advertisements
Advertisements
Question
Using prime factorisation, find which of the following are perfect cubes.
343
Advertisements
Solution
We have, 343 = 7 × 7 × 7
Since, the prime factors appear in triplets.
So, 343 is a perfect cube.
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
91125
\[\sqrt[3]{} . . . = \sqrt[3]{7} \times \sqrt[3]{8}\]
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 3048625 = 3375 × 729 .
Making use of the cube root table, find the cube root
9800 .
Making use of the cube root table, find the cube root
0.86 .
What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.
Find the cube root of 8000.
The least number by which 72 be multiplied to make it a perfect cube is ______.
Each prime factor appears 3 times in its cube.
Using prime factorisation, find the cube roots of 2197
