Write the ones digit of the cube of the following:

$61$

Write the ones digit of the cube of the following:

$102$

Write the ones digit of the cube of the following:

$205$

Write the ones digit of the cube of the following:

$6113$

Write the ones digit of the cube of the following:

$4996$

Write the ones digit of the cube of the following:

$788152$

Write the ones digit of the cube of the following:

$92317$

Observe the following pattern:

$1^3= 1$

$1^3+2^3= {\left(1+2\right)}^2$

$1^3+2^3+3^3= {\left(1+2+3\right)}^2$

Write the next five rows and calculate the value of $1^3+2^3+3^3+...+8^3+9^3+{10}^3$ using the above pattern.

By which smallest number must $7803$ should be multiplied so that the product is a perfect cube. Also find the smallest number by which the above number must be divided so that the number is a perfect cube.