Advertisements
Advertisements
Question
Find the cube root of the following number by the prime factorisation method.
110592
Advertisements
Solution
| 2 | 110592 |
| 2 | 55296 |
| 2 | 27648 |
| 2 | 13824 |
| 2 | 6912 |
| 2 | 3456 |
| 2 | 1728 |
| 2 | 864 |
| 2 | 432 |
| 2 | 216 |
| 2 | 108 |
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factorisation of 110592 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
= 23 × 23 × 23 × 23 × 33
=(2 × 2 × 2 × 2 × 3)3
∴ `root3 (110592)`
= 2 × 2 × 2 × 2 × 3
= 48
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
15625
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
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .
The volume of a cubical box is 474.552 cubic metres. Find the length of each side of the box.
Evaluate:
Making use of the cube root table, find the cube root
8.65 .
Making use of the cube root table, find the cube root
7532 .
The cube root of 540 × 50 is ___________
The least number by which 72 be multiplied to make it a perfect cube is ______.
Each prime factor appears 3 times in its cube.
