Question 1

Find all natural number factors of the number.
-47

Accepted Answer

A) 1, 47 
B) 1, 2, 3, 15, 23, 47 
C) 1, 2, 4, 15, 23, 47 
D) 1, 2, 23, 47 
A) 1, 47 
B) 1, 2, 3, 15, 23, 47 
C) 1, 2, 4, 15, 23, 47 
D) 1, 2, 23, 47

Question 2

Use inductive reasoning to find the next equation in the pattern.
-8 - 5 + 3 = 2 · 3 
13 - 8 + 5 = 2 · 5
21 - 13 + 8 = 2 · 8

Accepted Answer

A) 34 + 21 - 13 = 2 · 21 
B) 34 - 21 + 8 = 2 · 8 
C) 34 - 21 - 13 = 0 
D) 34 - 21 + 13 = 2 · 13 
A) 34 + 21 - 13 = 2 · 21 
B) 34 - 21 + 8 = 2 · 8 
C) 34 - 21 - 13 = 0 
D) 34 - 21 + 13 = 2 · 13

Question 3

Use the Lucas sequence to answer the question.
-What is the 15th term of the Lucas sequence?

Accepted Answer

A) 2,207 
B) 1,364 
C) 843 
D) 3,571 
A) 2,207 
B) 1,364 
C) 843 
D) 3,571

Question 4

Determine whether the number is abundant or deficient.
-34

Accepted Answer

A) Abundant 
B) Deficient 
A) Abundant 
B) Deficient

Question 5

Determine all values for the digit x that make the first number divisible by the second number. If none exist, so state.
-43x2 is divisible by 9.

Accepted Answer

The answer of Determine all values for the digit x...

Question 6

Find all natural number factors of the number.
-484

Accepted Answer

A) 1, 2, 3, 4, 11, 22, 121, 242, 484 
B) 1, 2, 4, 11, 22, 44, 121, 242, 484 
C) 1, 2, 11, 121, 484 
D) 1, 2, 4, 11, 22, 33, 44, 121, 242, 484 
A) 1, 2, 3, 4, 11, 22, 121, 242, 484 
B) 1, 2, 4, 11, 22, 44, 121, 242, 484 
C) 1, 2, 11, 121, 484 
D) 1, 2, 4, 11, 22, 33, 44, 121, 242, 484

Question 7

520 and 616 are amicable numbers.

Accepted Answer

A) True 
 B)False

Question 8

Use divisibility tests to decide whether the first number is divisible by the second.
-322,695; 9

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 9

Give the prime factorization of the number. Use exponents when possible.
-4725

Accepted Answer

A)  $3 ^ { 4 } \cdot 7$ 
B)  $5^4 \cdot 7$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 3 } \cdot 7$ 
D)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 7$ 
A)  $3 ^ { 4 } \cdot 7$ 
B)  $5^4 \cdot 7$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 3 } \cdot 7$ 
D)  $3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 7$

Question 10

List all the abundant numbers between 20 and 30 (inclusive)

Accepted Answer

The answer of List all the abundant numbers between 20...

Question 11

Use inductive reasoning to find the next equation in the pattern.
-1 + 1 = 2 
3 + 2 = 5
8 + 5 = 13
21 + 13 = 34

Accepted Answer

A) 34 + 53 = 87 
B) 13 + 21 = 34 
C) 21 + 34 = 55 
D) 55 + 34 = 89 
A) 34 + 53 = 87 
B) 13 + 21 = 34 
C) 21 + 34 = 55 
D) 55 + 34 = 89

Find all natural number factors of the number. -47

Use inductive reasoning to find the next equation in the pattern. -8 - 5 + 3 = 2 · 3 13 - 8 + 5 = 2 · 5 21 - 13 + 8 = 2 · 8

Use the Lucas sequence to answer the question. -What is the 15th term of the Lucas sequence?

Determine whether the number is abundant or deficient. -34

Determine all values for the digit x that make the first number divisible by the second number. If none exist, so state. -43x2 is divisible by 9.

Find all natural number factors of the number. -484

520 and 616 are amicable numbers.

Use divisibility tests to decide whether the first number is divisible by the second. -322,695; 9

Give the prime factorization of the number. Use exponents when possible. -4725

List all the abundant numbers between 20 and 30 (inclusive)

Use inductive reasoning to find the next equation in the pattern. -1 + 1 = 2 3 + 2 = 5 8 + 5 = 13 21 + 13 = 34

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 5: Number Theory

Find all natural number factors of the number. -47

Use inductive reasoning to find the next equation in the pattern. -8 - 5 + 3 = 2 · 3 13 - 8 + 5 = 2 · 5 21 - 13 + 8 = 2 · 8

Use the Lucas sequence to answer the question. -What is the 15th term of the Lucas sequence?

Determine whether the number is abundant or deficient. -34

Determine all values for the digit x that make the first number divisible by the second number. If none exist, so state. -43x2 is divisible by 9.

Find all natural number factors of the number. -484

520 and 616 are amicable numbers.

Use divisibility tests to decide whether the first number is divisible by the second. -322,695; 9

Give the prime factorization of the number. Use exponents when possible. -4725

List all the abundant numbers between 20 and 30 (inclusive)

Use inductive reasoning to find the next equation in the pattern. -1 + 1 = 2 3 + 2 = 5 8 + 5 = 13 21 + 13 = 34

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters