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Divisibility Rules
Factors
Prime & Composite
Prime Factorization
GCF
100
Every number is divisible by ___.
1
100
List all the factors of 21.
1,3,7,21
100
A number that has exactly 2 unique factors, 1 and itself.
Prime Number
100
Find the prime factorization of 21. (Make a factor tree and write out your answer)
21 = 3x7
100
If two numbers have nothing in common from their factor trees, what is their GCF?
1
200
Is 456 divisible by 2? Why or why not?
Yes because it ends in 6 (or ends in an even number).
200
List all the factors of 13.
1,13
200
A number greater than one with more than 2 factors.
Composite Number
200
Find the prime factorization of 30. (Make a factor tree and write out your answer)
30=2x3x5
200
Find the GCF of 5 and 20.
5, 20=2x2x5, GCF=5
300
Is 794 divisible by 5? Why or why not?
No because it doesn't end in 0 or 5.
300
List all the factors of 16.
1,2,4,8,16
300
What two numbers are neither prime or composite?
0 and 1
300
Find the prime factorization of 29. (Make a factor tree and write out your answer)
29
300
Find the GCF of 12 and 18.
12=2x2x3, 18=2x3x3, GCF=2x3=6
400
Is 8,740 divisible by 10? Why or why not?
Yes because it ends in 0.
400
List all the factors of 32.
1,2,4,8,16,32
400
Why is 11 prime?
It only has 2 factors, 1 and 11.
400
Find the prime factorization of 50. (Make a factor tree and write out your answer)
50=2x5x5
400
Find the GCF of 7 and 11.
GCF=1
500
Is 562 divisible by 3? Why or why not?
No because 5+6+2=13 which is not divisible by 3.
500
List all the factors of 97.
1,97
500
Why is 14 composite?
It has more than 2 factors. 1,2,7,14.
500
Find the prime factorization of 81. (Make a factor tree and write out your answer)
81=3x3x3x3
500
Find the GCF of 8 and 28.
8=2x2x2, 28=2x2x7, GCF=2x2=4