Question

Number Theory

Find the remainder when

a) 2^67 is divided by 7

b) 3^49 is divided by 28

c) 17^52 is divided by 60

Answer #1

number theory
Find the remainder when:
a) 2^67 is divided by 7
b) 3^49 is divided by 28
c) 3^28 is divided by 37

number theory
Find the smallest positive interger x such that when x is
divided by 3 the remainder is 2, when it is divided by 7, the
remainder is 4 and when it is divided by 10 the remainder is
6

Find the largest number that leaves the same remainder when it
is divided into 887, 959, 1007, 1187.
Full answer and work shown please.

calculate the remainder of 1200^7 when divided by 2573.

a is a number large than 1000
compare remainder
A a divided by 5
B a divided by 11
which remainder is larger? A or B? How to solve that

Find (without using a calculator) the remainder when
1123581321345589144 is divided by 44 (use congruence, not long
division).

5.
(a) Find the values of 2k mod 9 where k = 1, 2, 3, 4, 5,
6, 7, 8, 9.
(b) Find the remainder of 2271 when this number is
divided by 9.
(c) Find the remainder of 2271 when this number is
divided by 5.
PLEASE GIVE RIGHT ANSWERS AND GOOD DETAILS ON HOW TO GET THE
ANSWERS
THE ANSWERS I GOT YESTERDAY FROM YOUR GUYS WERE WRONG!!!

What is the remainder when the poynomial
x53-1240-3x27-5x21+x10-3
is divided by x+1? The possible answers were -21, -7, -3, 4, and
21. -7 was the correct answer and I'm unsure how they arrived at a
single answer without x appearing. If you could show all the steps
that would be excellent. Thanks

number theory
Find
a) the last two digits in the decimal representation of
3^86
b) the last units digit in the decimal representation of
7^55

Weather Tracker
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72
Sunny
2
67
Rain
3
62
Cloudy
4
42
Cloudy
5
40
Sunny
6
55
Rain
7
52
Cloudy
8
48
Rain
9
42
Sunny
10
44
Rain
11
52
Cloudy
12
57
Sunny
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63
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65
Rain
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74
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75
Sunny
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55
Sunny
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52
Rain
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48
Cloudy
20
44
Rain
21
47
Sunny
22
45
Sunny
23
55
Cloudy
24
58...

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