Write the cubes 5 natural numbers of which are multiples of 7 and verity the following:
“The cube of a multiple of 7 is a multiple of 73.
First 5 natural numbers which are multiple of 7 are = 7 , 14 , 21 , 28 , 35
Cube of these numbers are,
= 73 = 7 × 7 × 7 = 343
= 143 = 14 × 14 × 14 = 2744
= 213 = 21× 21× 21 = 9261
= 283 = 28 × 28 × 28 = 21952
= 353 = 35 × 35 × 35 = 42875
We find that all these cubes are multiple of 73(343) as well.