Question

After expressing 360 as a product of prime factors, find the smallest value of n such
that 360n is a cube number.​

Answer 1

Step-by-step explanation:

360

= 2×180

= 2×2×90

=2×2×2×45

=2×2×2×3×15

=2×2×2×3×3×5

360= (2×2×2)×3×3×5

it should be multiplied by 3÷5×5=75

then cube root of that number(360×75=27000)

= 2×3×5= 30