How do you convert a number to base 5?

Answer 1

Divide the number by 5, and the remainder in that division is the 'ones' (50) digit. Take that quotient (without the remainder) and divide by 5. The remainder is the 'fives' (51) digit. Continue dividing until you have zero, with a remainder and that will be the leftmost digit.

Example 27 (base ten) to base 5:

27 / 5 = 5, remainder 2

5 / 5 = 1, remainder 0

1 / 5 = 0, remainder 1

so 102 (base 5) is the same as 27 (base 10). You can check: 1 is in the (52=25) place, and the 2 is in the 'ones' place.

So (1*25) + (0*5) + (2*1) = 27