Factors, Multiples, and
Divisibility
Prime Factorization
Greatest Common Factor
Equivalent Fractions
Fractions in Simplest Form
100
Is 60 divisible by 2? Why? Why not?
Yes, because 60 is an even number and all even numbers are divisible by 2.
100
What is a prime number?
A prime number has exactly 2 factors, 1 and itself.
100
Define Greatest Common Factor
The greatest of all the common factors of two numbers
100
Define equivalent factions
Fractions that have different numerators and denominators but name the same amount are equivalent fractions.
100
List the steps for simplifying fractions
1. Find the GCF 2. Divide the numerator and the denominator by the GCF 3. Check the make sure that the GCF for the numerator and denominator is now only 1.
200
Is 62 divisible by 2, 3, and 6? Why or Why not?
62 is only divisible by 2. It is not divisible by 3 because the sum of its digits (6+2=8) are not divisible by 3. In order to be divisible by 6, 62 would have to be divisible by 2 AND 3.
200
What is the prime factorization for 18?
2 x 3 x 3
200
What is the GCF of 18, 36
18
200
What is an equivalent fraction for 1/2
Possible answers: 2/4, 3/6, 10/20, 50/100
200
Simplify: 18/24
3/4
300
Which divisibility rule would you apply to tell whether a number is divisible by 4?
The last two digits are divisible by 4.
300
What is the prime factorization for 47?
47 is a prime number
300
What is the GCF of 21, 49
7
300
What is an equivalent fraction for 7/21
Possible answers: 1/3, 14/42
300
Simplify: 4/24
1/4
400
Which divisibility rule would you apply to tell whether a number is divisible by 5?
If the ones digit is 0 or 5
400
What is the prime factorization for 45?
3 x 3 x 5
400
What is the GCF of 99, 121
11
400
What is an equivalent fraction for 1/1000?
Possible answers: 2/2000, 3/3000, 4/4000
400
Simplify: 75/165
5/11
500
Which divisibility rule would you apply to tell whether a number is divisible by 9?
If the sum of the digits is divisible by 9
500
What is the prime factorization for 243?
3 x 3 x 3 x 3 x 3
500
What is the GCF of 56,63,72
1
500
What is an equivalent fraction fir 121/132?
Possible answers: 11/12, 242/264
500
Simplify: 39/300
13/100
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