Question

What is the smallest number by which 65219 should be multiplied to make it a perfect cube

Answer 1

The smallest number by which we can multiply 65219 to make it perfect cube is = 7

we can find it through the following step process

1.) We will find out the prime factors of 65210

= 7/65219 = 65219

7/9317 = 1331

11/1331 = 121

11/121 = 11

11/11 = 1

prime factors are

= 7*7*11*11*11

= 7 square * 11 cube

In the two numbers 11 is a cube and now for making 7 a cube we have to multiply it by 7.

So the number 65219 also has to be multiplied by 7.

The number formed=

65219*7 = 456533

456533 is the cube of 77