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Number Theory

Showing 1-75 of 268 answers

23 Correct
74
-12
13

_________ is defined as the remainder of the bn less the modulo.

Power Function
Congruence Modulo
Power Modulo
Primitive Roots Correct

-119 mod 16 = ?

9 Correct
11
8
7

4
3
0 Correct
1

1
-1
0
4 Correct

-60 mod ___ = 0

7
12 Correct
9
16

2
0 Correct
3
-1

8
6 Correct
7
5

2 Correct
4
1
0

4
3 Correct
1
2

-94 mod ____ = 8

15
17 Correct
12
13

=E2=80=9CIf a number is divisible by _________, multiply 3 to the last digit then add the remaining number. Repeat the steps if necessary.=E2=80=9D This rule applies in

Divisibility of 29 Correct
Divisibility of 17
Divisibility of 19
Divisibility of 23

10
7
12 Correct
11

1890 is divisible by 2.

True Correct
False

1890 is divisible by 3.

True Correct
False

1890 is divisible by 5.

True Correct
False

1890 is divisible by 7.

True Correct
False

1890 is divisible by 9.

True Correct
False

1
3
4
0 Correct

5
0 Correct
1
3

35 modulo 7 = ?

0 Correct
2
3
5

1 Correct
0
3
4

4199 is divisible by 11.

True
False Correct

4199 is divisible by 13.

True Correct
False

4199 is divisible by 17.

True Correct
False

4199 is divisible by 19.

True Correct
False

4199 is divisible by 23.

True
False Correct

2 Correct
3
5
8

5
2
3 Correct
1

3
9
6 Correct
7

6
7 Correct
9
8

A Fermat Number is a prime number that follows the form of 2s + 1.

True
False Correct

A number is divisible by 2 and 3. Thus it is also divisible by 6.

True Correct
False

A power function has a fixed __________.

exponent Correct
base
form
None of the choices

All numbers are coprime of 385, EXCEPT:

3
13
5 Correct
2

All numbers are divisible by 1.

True Correct
False

All numbers below are divisible by 3 except

5783
9102
7562 Correct
4704

All of the numbers below have an answer of 4, EXCEPT:

95 mod 7
76 mod 9
64 mod 6
73 mod 8 Correct

An exponential function has a fixed base that is raised to a variable.

True Correct
False

Base on the given factor tree, what numbers should be written inside the boxes?

2 and 3 Correct
3 and 5
3 and 4
2 and 2

Based on the given factor tree, what is the unknown number?

315
135
351
153 Correct

Complete the expression '27 = 128 = ___ (mod 63)'

2 Correct

Complete the expression '53 = 125 = 14 (mod ___ )'

37 Correct

Complete the expression =E2=80=98 __13 = 1,594,323 = 819 (mod 1584)=E2=80=99

5
2
4
3 Correct

Complete the expression =E2=80=98 __13 = 1,594,323 = 819 (mod 1584)=E2=80=99.

7
2
3 Correct
5

Complete the expression =E2=80=9927 = 128 = ___ (mod 63)=E2=80=99

4
3
2 Correct
5

Complete the expression =E2=80=9953 = 125 = 14 (mod ___ )=E2=80=99

33
37 Correct
38
43

Complete the mathematical statement: 142 = ____ = 0 (mod 28)

189
169
144
196 Correct

Complete the mathematical statement: 22^2 = ____ = 25 (mod 27).

484 Correct
361
400
441

Complete the statement: 152 = 225 = ___ (mod 27).

4
9 Correct
10
7

Complete the statement: 252 = 625 = ___ (mod 28).

11
9 Correct
7
5

Describe the value k of the function f(x) = 5xk, so that the answer is a fraction?

Fraction
Zero
Positive
Negative Correct

Double the last digit of the given number and subtract it from the remaining number excluding the last digit. This rule applies in

Divisibility by 4
Divisibility by 7 Correct
Divisibility by 3
Divisibility by 11

Find the Greatest Common Divisor: 138 and 224

3
1
4
2 Correct

Find the Greatest Common Divisor: 210 and 320

10 Correct
5
2
20

Find the Greatest Common Divisor: 265 and 190

25
5 Correct
15
10

Find the Greatest Common Divisor: 36 and 99

9 Correct
12
18
3

Find the Greatest Common Divisor: 420 and 315

105 Correct
10
15
20

Find the Greatest Common Divisor: 469 and 357

3
9
14
7 Correct

Find the Greatest Common Divisor: 624 and 516

12 Correct
2
3
9

Find the Greatest Common Divisor: 77 and 121

21
11 Correct
1
22

Find the Greatest Common Divisor: 976 and 696

4
8 Correct
2
3

Find the Greatest Common Divisor: 352 and 41

1
irregularly prime
coprime Correct
2

Find the Greatest Common Divisor. Apply any method: 125 and 275

25 Correct
10
15
5

Find the Greatest Common Divisor. Apply any method: 178 and 150

6
8
4
2 Correct

Find the Greatest Common Divisor. Apply any method: 1800 and 2300

50
200
300
100 Correct

Find the Greatest Common Divisor. Apply any method: 244 and 260

6
2
4 Correct
8

Find the Greatest Common Divisor. Apply any method: 3425 and 4520

5 Correct
15
25
10

Find the Greatest Common Divisor. Apply any method: 366 and 420

4
6 Correct
2
3

Find the Greatest Common Divisor. Apply any method: 4250 and 2530

15
30
5
10 Correct

Find the Greatest Common Divisor. Apply any method: 500, 600 and 700

150
50
10
100 Correct

Find the Greatest Common Divisor. Apply any method: 78 and 96

2
6 Correct
3
4

Find the Greatest Common Divisor. Apply any method: 899 and 760

prime
6
relatively prime or coprime Correct
8

Find the Least Common Multiple: 10, 12 and 15

60 Correct
45
70
65

Find the Least Common Multiple: 2 and 3

16
6 Correct
9
10