Prime Factorization
State the prime factor(s) of 16
2
Find the GCF of 6 and 15 using the method of your choice.
GCF = 3
What is the result when you multiply a negative number by a positive number? (Negative or Positive)
The product is negative.
State 5 multiple of 4.
4, 8, 12, 16, 20, ...
Where would the following number first appear in the Real Number System? WHY?
-4/2
Integers, because when the fraction is simplified, it becomes -2, which is an integer. Negative counting numbers are integers.
State the prime factorization of 25
25 = 52
Find the GCF of 27, 45 using the method of your choice.
The GCF = 9
What is the result when two negative signs are side by side in an expression?
3-(-2)
When two negative signs are together, they become a positive.
Find the LCM of 4 and 14
The LCM = 28
Where would the following number first appear in the Real Number System? Why?
sqrt9/3
Natural numbers, because when the fraction is simplified, it equals 1, which is a natural number.
State the prime factorization of 54
54 = 2 x 33
Find the GCF of 30, 48 using the method of your choice.
The GCF = 6
Simplify using BEDMAS
2^3 - (3 + 2)xx4
- 12
Find the LCM of 6 and 20
The LCM = 60
Where would the following number first appear in the Real Number System? Why?
2.7562451...
Irrational numbers because the decimal does not repeat or terminate and it continues on forever.
State the prime factorization of 234
234 = 2 x 3 x 3 x 13
Find the GCF of 126, 144 using any method.
The GCF = 18
Simplify using BEDMAS
2(3+3xx6+3^2-3)
54
Find the LCM of 36 and 56
The LCM = 504
Is pi a rational number?
No, this is false because pi is an irrational number—it cannot be expressed as a fraction of two integers and its decimal expansion is non-repeating and non-terminating
State the prime factorization and prime factors of 2646
Prime Factorization: 864 = 2 x 7 x 7 x 3 x 3 x 3 OR
7^2 x 3^3 x 2
Prime Factors: 2, 3, 7
Find the GCF of 42, 70 using the method of your choice.
The GCF = 14
Simplify using BEDMAS
(-56)+((-2)^2-(-6)xx4)
-28
Find the LCM of 28, 42, and 63.
The LCM = 252
Which of the following types of numbers are included in the set of integers? (rational, irrational, whole, integers, natural)
integers, whole, natural