Question

find the smallest number by which 10985 should be divided so that the quotient is the perfect cube, ​

Answer 1

Step-by-step explanation:

The LCM of the number 10985 is:

10985 = 13 × 13 × 13 × 5

Now, we need to pair the same prime numbers. There is only one pair and another does not pair up.

Now, we need to the multiply the numbers that does not match.

⇒ 13 × 5 = 65

The number 10985 is need to be divided with 65.

10985 ÷ 65 = 169 =.13 ^2

hope it is helpfull to you

please follow me