Convert the following​ base-ten number to a number in the indicated base

Question

Convert the following​ base-ten number to a number in the indicated base

a. 104six

 

Answer 1

6⁰ = 1, 6¹ = 6, 6² = 36, 6³ = 216, ...

104 ÷ 36 = 2R32

32÷6 = 5R2

So, 104 in base 10 is the same as 2(36) + 5(6) + 2 = 2(6²) + 5(6¹) + 2(6⁰) = 252 in base 6.