Question

Find the remainder when 231 is divided by 5.

Answer 1

Answer:

The remainder is 3

Step-by-step explanation:

For a given number xy, divide y by 5 to find the remainder

Divide the power of 2 by 4 i.e 31/4

⇒ 4 × 7 = 28

∴ Remainder 31 – 28 = 3

∴ A cycle of 3 can be used

⇒ 2^3/5 = 8/5 or remainder 3   (5 × 1 = 5, 8 – 5 = 3)

∴ The remainder when 2^31 is divided by 5 is 3

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