Question

Find the smallest non-zero whole number which can be multiplied by 112 to give a cube number

Answer 1

Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square. Similarly 28 should be multiplied to 784 to make it a perfect cube.

Answer 2

Explanation:

112 = 2⁴ * 7.

Next power after 2⁴ with a cube power = 2⁶.

Next power after 7 with a cube power = 7³.

Therefore k = 2² * 7² = 196.