Advertisements
Advertisements
Question
Using prime factorisation, find which of the following are perfect cubes.
1331
Sum
Solution
We have, 1331 = 11 × 11 × 11
Since, the prime factors appear in triplets.
So, 1331 is a perfect cube.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
110592
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{8 \times . . .} = 8\]
\[\sqrt[3]{1728} = 4 \times . . .\]
Evaluate:
\[\sqrt[3]{100} \times \sqrt[3]{270}\]
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
0.86 .
Making use of the cube root table, find the cube root
8.65 .
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.
