Algebra U1 L1 Fundamental Theorem of Arithmetic

Determine whether 47 is a prime number.

• Yes, 47 is a prime number.

• No, 47 is not a prime number.

Factorize 81 and 99, and find their GCF and LCM.

• 9, 891

• 9, 999

• 9, 729

• 11, 990

Factorize 102 and 144, and find their GCF and LCM.

• GCF: 6, LCM: 2448

• GCF: 12, LCM: 1224

• GCF: 18, LCM: 816

• GCF: 24, LCM: 612

Find the GCF and LCM of 72 and 108.

• GCF: 36, LCM: 216

• GCF: 12, LCM: 432

• GCF: 24, LCM: 144

• GCF: 18, LCM: 324

Factorize 196 and 256, and find their GCF and LCM.

• GCF: 4, LCM: 12544

• GCF: 2, LCM: 196

• GCF: 4, LCM: 256

• GCF: 2, LCM: 256

In a classroom of 30 students, if every student is given a packet of 14 markers and a packet of 16 pencils, find the GCF and LCM of the total number of markers and pencils to be distributed.

• GCF: 2, LCM: 3,360

• GCF: 14, LCM: 240

• GCF: 2, LCM: 6,720

• GCF: 2, LCM: 112

A baker bakes 36 cookies and 54 muffins. The baker wants to pack them into boxes with the same number of cookies and muffins in each box without any left over. What is the greatest number of boxes the baker can use?

• 6

• 9

• 12

• 18

A school is buying chairs and tables. Chairs come in sets of 10 and tables come in sets of 15. What is the smallest number of sets of each that the school can buy so that they have an equal number of chairs and tables?

• 2 sets of chairs and 3 sets of tables

• 3 sets of chairs and 2 sets of tables

• 1 set of chairs and 1 set of tables

• 5 sets of chairs and 5 sets of tables

In a dance competition, there are 28 dancers and 42 musicians. The organizers want to arrange them in equal groups with the same number of dancers and musicians in each group. What is the greatest number of groups they can form?

• 7

• 14

• 28

• 42

Find pair of numbers whose GCF is 10 and LCM is 50.

• 20 and 25

• 10 and 20

• 10 and 25

• 10 and 50