Advertisements
Advertisements
Question
Using prime factorisation, find which of the following are perfect cubes.
1331
Advertisements
Solution
We have, 1331 = 11 × 11 × 11
Since, the prime factors appear in triplets.
So, 1331 is a perfect cube.
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
13824
You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768
\[\sqrt[3]{. . .} = \sqrt[3]{4} \times \sqrt[3]{5} \times \sqrt[3]{6}\]
Evaluate:
Evaluate:
\[\sqrt[3]{96} \times \sqrt[3]{144}\]
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 3048625 = 3375 × 729 .
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 20346417 = 9261 × 2197 .
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 210644875 = 42875 × 4913 .
Making use of the cube root table, find the cube root
732 .
Using prime factorisation, find which of the following are perfect cubes.
343
