When 2 35 is divided by 5 the remainder is [2^35 Mod 5]

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

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