Question

10985 find the smallest number by which each of the following numbers must be divided to obtain a perfect cube

Answer 1

Answer:

First prime factorise the number, e.g,

10985= 5 X 13 X 13 X13

Note: for a perfect cube the prime factors must be in the pair of 3 - 3

Now if any factor lacks in its pair of 3 e.g., here 5

Then multiply the whole number with the factor (by how much it lacks) e.g.,

Here the factor 5 lacks by 2

Since the smallest no. that must be multiplied to 10985 is 5X 5 = 25

Hope it's helpful for you

Have a great day ahead

Step-by-step explanation: