Integer Properties and Divisibility
GRE · Flashcards · Application
GRE · FLASHCARDS
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QUESTION
What is the remainder when
7
100
7^{100}
7
100
is divided by
7
7
7
?
QUESTION
What is the remainder when
10
50
+
3
10^{50}+3
1
0
50
+
3
is divided by
10
10
10
?
QUESTION
What is the remainder when
2
10
2^{10}
2
10
is divided by
3
3
3
?
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ANSWER
1
1
1
.
2
10
=
1024
2^{10} = 1024
2
10
=
1024
, and
1024
÷
3
=
341
1024 \div 3 = 341
1024
÷
3
=
341
with remainder 1.
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