Question 1

Find the GCD for the given numbers by an appropriate method.
-1296 and 1944

Accepted Answer

A) 6 
B) 648 
C) 3888 
D) 216 
A) 6 
B) 648 
C) 3888 
D) 216 B

Question 2

Find the LCM for the given numbers by an appropriate method.
-60, 40, and 70

Accepted Answer

A) 120 
B) 280 
C) 840 
D) 420 
A) 120 
B) 280 
C) 840 
D) 420 C

Question 3

Find the LCM for the given numbers by an appropriate method.
-166,334 and 734,174

Accepted Answer

A) 14 
B) 24,961 
C) 623,051,521 
D) 8,722,721,294 
A) 14 
B) 24,961 
C) 623,051,521 
D) 8,722,721,294 D

Question 4

$$G C D ( a , a ) = a$$

Accepted Answer

A) True 
 B)False

Question 5

Without using a calculator, determine whether the first number is divisible by the second number.
-Is 6,703,279 divisible by 11?

Accepted Answer

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

Question 6

Without using a calculator, determine whether the first number is divisible by the second number.
-Is 67,072 divisible by 4?

Accepted Answer

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

Question 7

Find the GCD for the given numbers by an appropriate method.
-6, 10, and 12

Accepted Answer

A) 4 
B) 6 
C) 2 
D) 1 
A) 4 
B) 6 
C) 2 
D) 1

Question 8

Solve the problem.
-If a group of 284 people is to be split into equal-sized subgroups of at least two people and no more than 30 people, what are the possible group sizes?

Accepted Answer

A) 2, 3, and 4 
B) 2 and 28 
C) 3 and 4 
D) 2 and 4 
A) 2, 3, and 4 
B) 2 and 28 
C) 3 and 4 
D) 2 and 4

Question 9

Without using a calculator, determine whether the first number is divisible by the second number.
-Is 22,233 divisible by 2?

Accepted Answer

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

Question 10

Use least common multiple or greatest common divisor to solve the problem.
-Three taxi cabs make a complete trip from downtown to the airport and back in 15, 33 and 55 minutes, respectively. If all three cabs leave at the same time, what is the shortest time that must Pass before they are all together again?

Accepted Answer

A) 1815 minutes 
B) 495 minutes 
C) 103 minutes 
D) 165 minutes 
A) 1815 minutes 
B) 495 minutes 
C) 103 minutes 
D) 165 minutes

Question 11

Determine all possible digits to place in the square that make the statement true. If none exist, state this.
-$$414,3 \square 2 \text { is divisible by } 8 \text { but not } 16 \text {. }$$

Accepted Answer

The answer of Determine all possible digits to place in...

Question 12

Find the GCD or LCM as indicated.
-Given 21, 24, and 27 , find the GCD.

Accepted Answer

A)  3 
B)  21 
C)  6 
D)  1 
A)  3 
B)  21 
C)  6 
D)  1

Question 13

Find the LCM for the given numbers by an appropriate method.
-43,378 and 4715

Accepted Answer

A) 943 
B) 9430 
C) 216,890 
D) 10 
A) 943 
B) 9430 
C) 216,890 
D) 10

Question 14

Provide the appropriate response.
-Find the largest three-digit superprime.

Accepted Answer

A) 597 
B) 799 
C) 797 
D) 999 
A) 597 
B) 799 
C) 797 
D) 999

Question 15

Find the GCD or LCM as indicated.
-Given 240 and 13,500, find the GCD.

Accepted Answer

A) 60 
B) 240 
C) 180 
D) 30 
A) 60 
B) 240 
C) 180 
D) 30

Question 16

Using divisibility tests, solve the problem.
-Jason bought a new bike for $678, and he plans to make equal monthly payments to pay for it. Can he pay off the bike in 3 equal payments?

Accepted Answer

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

Question 17

Find the GCD or LCM as indicated.
-Given 208 and 135, find the GCD.

Accepted Answer

A) 65 
B) 1 
C) 6 
D) 104 
A) 65 
B) 1 
C) 6 
D) 104

Question 18

Find the LCM for the given numbers by an appropriate method.
-$25 ^ { 10 }$ and $49^{10}$

Accepted Answer

A)  $35 ^ { 20 }$ 
B)  35 
C)  1225 
D)  $35 ^ { 10 }$ 
A)  $35 ^ { 20 }$ 
B)  35 
C)  1225 
D)  $35 ^ { 10 }$

Question 19

$$G C D ( a , b ) \leq a$$

Accepted Answer

A) True 
 B)False

Question 20

Find the prime factorization.
-$555 ^ { 2 }$

Accepted Answer

A)  $15 ^ { 2 } \cdot 37 ^ { 2 }$ 
B)  $5 ^ { 2 } \cdot 37 ^ { 2 }$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 2 } \cdot 37 ^ { 2 }$ 
D)  $3 ^ { 4 } \cdot 37 ^ { 2 }$ 
A)  $15 ^ { 2 } \cdot 37 ^ { 2 }$ 
B)  $5 ^ { 2 } \cdot 37 ^ { 2 }$ 
C)  $3 ^ { 2 } \cdot 5 ^ { 2 } \cdot 37 ^ { 2 }$ 
D)  $3 ^ { 4 } \cdot 37 ^ { 2 }$

Find the GCD for the given numbers by an appropriate method. -1296 and 1944

Find the LCM for the given numbers by an appropriate method. -60, 40, and 70

Find the LCM for the given numbers by an appropriate method. -166,334 and 734,174

$G C D ( a , a ) = a$

Without using a calculator, determine whether the first number is divisible by the second number. -Is 6,703,279 divisible by 11?

Without using a calculator, determine whether the first number is divisible by the second number. -Is 67,072 divisible by 4?

Find the GCD for the given numbers by an appropriate method. -6, 10, and 12

Solve the problem. -If a group of 284 people is to be split into equal-sized subgroups of at least two people and no more than 30 people, what are the possible group sizes?

Without using a calculator, determine whether the first number is divisible by the second number. -Is 22,233 divisible by 2?

Determine all possible digits to place in the square that make the statement true. If none exist, state this. - $414,3 \square 2 \text { is divisible by } 8 \text { but not } 16 \text {. }$

Find the GCD or LCM as indicated. -Given 21, 24, and 27 , find the GCD.

Find the LCM for the given numbers by an appropriate method. -43,378 and 4715

Provide the appropriate response. -Find the largest three-digit superprime.

Find the GCD or LCM as indicated. -Given 240 and 13,500, find the GCD.

Using divisibility tests, solve the problem. -Jason bought a new bike for $678, and he plans to make equal monthly payments to pay for it. Can he pay off the bike in 3 equal payments?

Find the GCD or LCM as indicated. -Given 208 and 135, find the GCD.

Find the LCM for the given numbers by an appropriate method. - $25 ^ { 10 }$ and $49^{10}$

$G C D ( a , b ) \leq a$

Find the prime factorization. - $555 ^ { 2 }$

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 4: Number Theory

Find the GCD for the given numbers by an appropriate method. -1296 and 1944

Find the LCM for the given numbers by an appropriate method. -60, 40, and 70

Find the LCM for the given numbers by an appropriate method. -166,334 and 734,174

GCD(a,a)=aG C D ( a , a ) = aGCD(a,a)=a

Without using a calculator, determine whether the first number is divisible by the second number. -Is 6,703,279 divisible by 11?

Without using a calculator, determine whether the first number is divisible by the second number. -Is 67,072 divisible by 4?

Find the GCD for the given numbers by an appropriate method. -6, 10, and 12

Solve the problem. -If a group of 284 people is to be split into equal-sized subgroups of at least two people and no more than 30 people, what are the possible group sizes?

Without using a calculator, determine whether the first number is divisible by the second number. -Is 22,233 divisible by 2?

Determine all possible digits to place in the square that make the statement true. If none exist, state this. - 414,3□2 is divisible by 8 but not 16. 414,3 \square 2 \text { is divisible by } 8 \text { but not } 16 \text {. }414,3□2 is divisible by 8 but not 16.

Find the GCD or LCM as indicated. -Given 21, 24, and 27 , find the GCD.

Find the LCM for the given numbers by an appropriate method. -43,378 and 4715

Provide the appropriate response. -Find the largest three-digit superprime.

Find the GCD or LCM as indicated. -Given 240 and 13,500, find the GCD.

Using divisibility tests, solve the problem. -Jason bought a new bike for $678, and he plans to make equal monthly payments to pay for it. Can he pay off the bike in 3 equal payments?

Find the GCD or LCM as indicated. -Given 208 and 135, find the GCD.

Find the LCM for the given numbers by an appropriate method. - 251025 ^ { 10 }2510 and 491049^{10}4910

GCD(a,b)≤aG C D ( a , b ) \leq aGCD(a,b)≤a

Find the prime factorization. - 5552555 ^ { 2 }5552

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

$G C D ( a , a ) = a$

Determine all possible digits to place in the square that make the statement true. If none exist, state this. - $414,3 \square 2 \text { is divisible by } 8 \text { but not } 16 \text {. }$

Find the LCM for the given numbers by an appropriate method. - $25 ^ { 10 }$ and $49^{10}$

$G C D ( a , b ) \leq a$

Find the prime factorization. - $555 ^ { 2 }$