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Chapter 1: Q25E (page 49)

Calculate 2125mod127using any method you choose. (Hint: 127 is prime.)

Short Answer

Expert verified

2125mod127is equal to

Step by step solution

01

Given condition

To find the modulo of any large number we can divide that number into small parts and find the modulo of the smaller part and recognized the pattern to get the answer of the large integer.

02

Calculate 2125mod127

For,2125mod127, we can write2125as

2125=2717+6

Where27mod127 can be written as,

27mod127=128mod127=1

Then, for 2125mod127, we have,

2125mod127=2717+6mod127=2717.26mod127=117.26mod127=64mod127=64

So,2125mod127 is equal to 64.

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