Answer :
The remainder when 17^(77) is divided by 35 is 12
How can the remainder of dividing a large number be found?
The number being divided = 17^(77)
The number by which 17^(77) is divided = 35
Using a graphing calculator, we have;
[tex] \frac{17^{77}}{35} = V+ \frac{12}{35} [/tex]
Where V is a very large number quotient
From the above fraction, we have;
- 17⁷⁷ ÷ 35 = V + 12/35
Expressing the above result using long division gives;
__V___ (Quotient)
35 (17⁷⁷)
____
12 (Remainder)
- The remainder is therefore; 12
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