Primes, GCF, and a Splash of Algebra Treasure Puzzle

Answer the problems below based upon your knowledge of Primes and GCF. As you get the answers look for the corresponding letter in the Decoder Grid to the right. If you write these letters in order, they will form a password to one of our extrememly cool TREASURE ROOMS! Click the link at the bottom to enter the treasure room with your password.

Print this out, and show your work below each problem.

1

List the first five prime numbers.

 

2

The product of the sixth prime number and the ninth one is?

 

3

In order from smallest to largest, the factors of 32 are:

 

4

In order from smallest to largest, the factors of 28 are:

 

5

The Greatest Common Factor, GCF, of 32 and 28 is?

 

6

The product of the GCF of 32 and 28 and the numerical coefficient of the "x" term when
5(2x^2 + x -13) is multiplied is?

 

7

a.) What is one less than the eleventh prime number?

 

b.) Name all of its factors in order from smallest to largest.

 

8

What number is the product of the
GCF of 36, 60, 120 and the GCF of 14, 42, 70?

 

 

9

What is the largest prime factor of 100?

 

10

What number is the only even prime number?

 

11

The product of the fifth and sixth prime numbers added to the GCF of 28 and 35 is what number?

 

 

12

The sum of the only even prime, the 15th prime number, and the constant term of the trinomial 14ab^2 + -32a - 68 is what number?

 

Decoder Grid

1, 2, 4, 8, 16, 32
s
5
g
1, 2, 3, 4, 8, 16, 17, 32
c
2, 3, 5, 7, 11
m
1, 2, 3, 4, 5, 6, 10, 15, 30
q
299
y
2
h
168
i
1, 2, 3, 5, 6, 10, 15, 30
s
150
t
1, 2, 3, 4, 7, 8, 14, 28
e
1, 2, 4, 7, 14, 28
t
-19
1
20
r
29
p
4
e
34
s
30
y

When you KNOW the password

 

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