Question

2. (i) Express 2016 as the product of its prime factors.

(ii) Given that 2016/m = n², where m and n are whole numbers and n is as large as possible, find the value of m and of n.

(iii) Find the smallest whole number h such that 2016/h is a cube number.​

Answer 1

N=14

Explanation:

The first thing you want to do is write 2016 as its prime factorization: 2016 = 25*32*7. The 32 is already a square. We need too multiply one more factor of 2 to make 26, which has 23 = 8 as its square root. We also need to multiply by 7 to give 72. Therefore, to make a perfect square out of 2016, we need to multiply by 2*7 = 14. So, N =14.

I don't know if this really helps but i hope it helps!