Q. 113.9( 10 Votes )

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.

Answer :

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.

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