Jeopardy Game

Factors And Multiples

100

Write down the first four multiples of 37

37,74,111,148

200

Find all the factors common to 56 and 84 

1,2,4,7,14,28

300

If two numbers are multiples of 11, then their sum is a multiple of 11? 

True

400

If a number is a multiple of 3 and another number is a multiple of 4, then their sum is a multiple of 7?

False

500

Find the smallest multiple of 19 which is greater than 500

513

Prime Factorization

100

Find the prime factorization of 20

Prime factorization of 20 = 2 × 2 × 5

200

Is 0 a composite number?

False

300

Is 817 a prime number or a composite number?

Composite number! 

• Factors of 817 - 1, 19, 43, 817

400

List the common prime factors of 256 and 156.

The common prime factor of 256 and 156 is 2.  

500

Find the prime factorization of 23356

2⁵× 3² × 5 × 13

Greatest Common Factor

100

Find the GCF of 12 and 15.

3

200

What is the highest common factor of 96 and 404?

4

300

 Find the GCF of 14, 36 and 42  

2

400

What will be the greatest possible length that can be used to measure exactly the lengths 7 m, 3 m 85 cm, and 12 m 95 cm?

GCF(700, 385, 1295) = 5 x 7 = 35cm

500

Find the GCF of fractions 2/3, 16/81, and 8/9

GCF of fractions = GCF of numerators/LCM of denominators

Least Common Multiple

100

Find the LCM of the 24 and 54

216

200

Find the LCM of 22, 132, and 253

3036

300

Player 1 and Player 2 are running around a circular field. Player 1 takes 16 minutes to take one round, while Player 2 completes the round in 20 minutes. If both start simultaneously and go in the same direction, after how much time will they meet at the starting point?

LCM(16, 20) = 24 × 4 = 80

400

Two alarm clocks ring their alarms at regular intervals of 72 seconds and 50 seconds. If they beep together at noon(12:00 PM), at what time will they beep again for the first time?

LCM of 72 and 50 = 2³ × 3² × 5² = 1800

1800 seconds = 1800/60 min = 30 min 

Hence, the clocks will beep again for the first time at 12:30 pm.  

500

Find the least number, which, when divided by 35, 56, and 91, leaves the same remainder of 7, respectively.

LCM(35, 56, 91) + 7 = 3640 + 7 = 3647.

Square Roots and Cube Roots

100

Find the square root of 121 by the prime factorization method

11

200

Find the cubic root of 512 by the prime factorization method

8

300

The area of a square tin plate is 7056 square inches. Find the length of a side of the plate

84in

400

The volume of a piece of glass cube is 1728 mm³

Find the length of a side of the cube.

12 mm

500

Find the cube root of 21952 by the prime factorization method.

∛21952 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7) = 2 × 2 × 7 = 28