Advertisements
Advertisements
प्रश्न
Which of the following is perfect cube?
166375
Advertisements
उत्तर
On factorising 166375 into prime factors, we get:
\[166375 = \left\{ 5 \times 5 \times 5 \right\} \times \left\{ 11 \times 11 \times 11 \right\}\]
Group the factors in triples of equal factors as:
\[166375 = \left\{ 5 \times 5 \times 5 \right\} \times \left\{ 11 \times 11 \times 11 \right\}\]
It is evident that the prime factors of 166375 can be grouped into triples of equal factors and no factor is left over. Therefore, 166375 is a perfect cube.
APPEARS IN
संबंधित प्रश्न
Find the smallest number by which the following number must be divided to obtain a perfect cube.
135
Find the smallest number by which the following number must be divided to obtain a perfect cube.
704
What happens to the cube of a number if the number is multiplied by 3?
What happens to the cube of a number if the number is multiplied by 5?
For of the non-perfect cubes in Q. No. 20 find the smallest number by which it must be divided so that the quotient is a perfect cube.
By taking three different values of n verify the truth of the following statement:
If n is odd, then n3 is also odd.
Find the cube root of the following natural number 35937 .
Find the cube-root of 729.
The cube of 0.0012 is 0.000001728.
If the cube of a squared number is 729, find the square root of that number
