Quiz for:

LCM: Prime Factorization Method

Question 13

Which website is suggested for further practice and membership?

A.mathantics.com
B.mathisfun.com
C.khanacademy.org
D.purplemath.com

Question 1

What method is suggested for finding the least common multiple (LCM) of two numbers?

A.Brute force
B.Prime Factorization
C.Addition method
D.Subtraction method

Question 2

What is the prime factorization of the number 12?

A.2 x 2 x 3
B.3 x 4
C.2 x 6
D.2 x 3

Question 3

What is the prime factorization of the number 14?

A.2 x 7
B.2 x 3 x 7
C.2 x 2 x 7
D.3 x 7

Question 4

How should overlapping factors be treated when finding the LCM using prime factorization?

A.Include none of them
B.Include one copy of each
C.Include all of them
D.Exclude all overlapping factors

Question 5

What is the LCM of 12 and 14 according to the prime factorization method?

A.84
B.36
C.48
D.28

Question 6

Why might you not include a duplicate of overlapping factors when finding the LCM?

A.To keep the calculation simple
B.To get the smallest number divisible by both
C.To avoid mathematical errors
D.To simplify the fractions

Question 7

What is the prime factorization of 9?

A.3 x 3
B.2 x 2
C.3 x 1
D.2 x 3

Question 8

How is the LCM found for two numbers with no common prime factors, like 9 and 10?

A.Add the numbers together
B.Multiply the original numbers together
C.Subtract the smaller from the larger
D.Divide the larger by the smaller

Question 9

The prime factorization of 105 is 3 x 5 x 7. What is the prime factorization of 120?

A.2 x 2 x 2 x 3 x 5
B.2 x 3 x 4 x 5
C.2 x 5 x 6
D.3 x 4 x 5

Question 10

What common factors do 105 and 120 have, according to their prime factorizations?

A.3 and 7
B.5 and 7
C.3 and 5
D.2 and 3

Question 11

Using the prime factorization method, what is the LCM of 105 and 120?

A.840
B.420
C.210
D.105

Question 12

What number results from multiplying the set of prime factors {2 x 2 x 2 x 3 x 5 x 7}?

A.540
B.780
C.840
D.420

Question 13

Which website is suggested for further practice and membership?

A.mathantics.com
B.mathisfun.com
C.khanacademy.org
D.purplemath.com

Question 1

What method is suggested for finding the least common multiple (LCM) of two numbers?

A.Brute force
B.Prime Factorization
C.Addition method
D.Subtraction method