Show:
Prime Factorization
Greatest Common Factor
Least Common Multiple
Word Problems
Squares & Cubes
100
What are the two methods called to find the prime factorization of a number?

1. The Ladder Method

2. The Tree Method

100
What is the greatest common factor of 12 and 15
3
100
What is the least common multiple of 3 and 7?
21
100

The number 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5 when written as a product of its prime factors. Write 3,200 as a product of its prime factors. 

2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 = 3,200

100

What is the square of 12?

144

200
Express 12 as a product of its prime factors.

2 x 2 x 3 = 12

200
What is the greatest common factor of 24 and 20?
4
200
What is the least common multiple of 4 and 9?
36
200

Jacob is solving 103 / 82 x 42. He says he should evaluate the exponents first, then multiply and divide. Explain why he is incorrect. 

Jacob is incorrect because PEMDAS tells you to multiply and divide whichever comes first. So in this case division comes first. So, you divide then multiply.

200

What is the cube of 8?

512

300

Express 60 as the product of its prime factors

2 x 2 x 3 x 5 = 60

300
What is the greatest factor of 16 and 36?
4
300
What is the least common multiple of 2, 3, and 5?
30
300

Sarah is making bead necklaces. She has 60 blue beads and 72 green beads. What is the greatest number of identical necklaces she can make if she wants to use all the beads?

12 identical necklace

300

Write an expression that represents the difference between the square of 6 and the cube of 3?

62 - 33

400

Express 48 as a product of its prime factors.

2 x 2 x 2 x 2 x 3 = 48

400
What is the great common factor of 50, 35, and 15?
5
400
What is the least common multiple of 20 and 12?
60
400

A yellow light flashes every 16 minutes. A blue light flashes every 18 minutes. When will the two lights flash together again, if they last flashed together at 9:00 A.M.

At 11:24 A.M.

400

Evaluate: (PEMDAS)

93 - 52 + 62 

740

500

Express 150 as a product of its prime factors. 

2 x 3 x 5 x 5 = 150

500
What is the greatest common factor of 64 and 80?
16
500
What is the least common multiple of 21 and 24?
168
500

Jennifer is packing 120 pencils and 108 notebooks equally into as many boxes as possible. 

a. Find the greatest number of boxes that Jennifer can pack the items into.

b. Find the number of pencils and notebooks in each box. 

a. 12

b. 10, 9

500

Given that 142 = 2,744, find the cube of 140. 

2,744,000