When 2 35 is divided by 5 the remainder is: |

2 power 35 Mod 5 will give us the remainder

2 to the power 35 = 2x2x2….. 35 times = 34,359,738,368

To check divisibility by 5. If the numerator is in multiples of five. It will be divisible.

2^35=34,359,738,368

divide by 5 is quotient =6871947673

remainder=3

**The remainder is three.**

## Another Way

2³⁵

= 2³²⁺³

= 2³²×2³

= (2⁴)⁸×2³

= (16)⁸×8

= (15 + 1)⁸×(5 + 3)

= (5 * 3 + 1)⁸×(5 + 3)

(5 * 3 + 1)⁸ divided by 5 will give remainder 1 as all 5 multiples will be divided.

(5 + 3) divided by 5 will give remainder 3

### What is 2^35 divided by 5?

Ans: 3. Check details how.