Exercise 6.2

Find the cube root of each of the following numbers by prime factorisation method. (Enter the factors in increasing order)

Instructions

(i) 64 = × × × × × = ×

364 = × =

(ii) 512 = × × × × × × × × = × ×

3512 = × × =

(iii) 10648 = × × × × × = ×

310648 = × =

(iv) 27000 = × × × × × × × × = × ×

327000 = × × =

(v) 15625 = × × × × × = ×

315625 = × =

(vi) 13824 = × × × × × × × × × × × = × × ×

313824 = × × × =

(vii) 110592 = × × × × × × × × × × × × × × = × × × ×

3110592 = × × × × =

(viii) 46656 = × × × × × × × × × × × = × × ×

346656 = × × × =

(ix) 175616 = × × × × × × × × × × × = × × ×

3175616 = × × × =

(x) 91125 = × × × × × × × × = × ×

391125 = × × =

Instructions

Cube of any odd number is even.

A perfect cube does not end with two zeros.

If square of a number ends with 5, then its cube ends with 25.

There is no perfect cube which ends with 8.

The cube of a two digit number may be a three digit number.

The cube of a two digit number may have seven or more digits.

The cube of a single digit number may be a single digit number.

True

False

Cubes and Cube Roots