Question

The sum of the digits of the smallest number which when multiplied by 1800 gives a perfect cube is

Answer 1

we will prime factorize the no .

Answer 2

Answer:

Sum of digits is 6.

Step-by-step explanation:

To find : The sum of the digits of the smallest number which when multiplied by 1800 gives a perfect cube is?

Solution :

First we find the factors of the number 1800,

2 | 1800

2 | 900

2 | 450  

3 | 225

3 |  75

5 |  25

5 |  5

   |1

Factors are:  $2\times2\times2\times3\times 3\times 5\times 5=2^3\times3^2\times5^2$

The smallest number multiplied by is $5 \times 3 =15$

Therefore, Sum of the digits = 1+5 = 6