Question

by what smallest no. 364500 be multiplied so that the product becomes a perfect cube​

Answer 1

Answer:

Smallest number is 2

Step-by-step explanation:

Given in the question,

number which is not a proper cube = 364500

To find,

a smallest number which when multiple with 364500 gives a number which is perfect cube.

If you factorise 364500 you will get

2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 5

(2^2) * (3^3) * (3^3) * (5^3)

every element should have exponent of 3

only one 2 is missing

(2^3) * (3^3) * (3^3) * (5^3) = 729000

Hence, 729000 is perfect cube which we can get by multiplying 2 with 364500