WorksheetsExploring Prime Numbers and Factors
Total questions: 20
Worksheet time: 10mins
What is a prime number?
A prime number is any even number.
A prime number is a natural number less than 1.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
A prime number is a number that can be divided by 2.
Identify the prime numbers between 1 and 20.
1, 20, 22, 24, 26
4, 6, 8, 9, 10
[2, 3, 5, 7, 11, 13, 17, 19]
12, 14, 15, 16, 18
List all the factors of 36.
7
5
[1, 2, 3, 4, 6, 9, 12, 18, 36]
10
What are the multiples of 7 up to 50?
[7, 14, 21, 28, 35, 42, 49]
5, 12, 19, 26, 33, 40, 47
8, 15, 22, 29, 36, 43, 50
6, 13, 20, 27, 34, 41, 48
Determine if 29 is a prime number.
29 is a composite number
29 is an even number
No
Yes
Find the prime factorization of 60.
5 × 12
2^2 × 3 × 5
2 × 3 × 10
4 × 15
How many prime numbers are there between 1 and 30?
12
8
10
15
What is the greatest common factor (GCF) of 12 and 18?
6
12
9
4
If a number is divisible by 2 and 3, what can you say about its factors?
The number has factors that include 1, 4, and 12.
The number has factors that include 1, 2, 3, and 6.
The number has factors that include 1, 3, and 9.
The number is only divisible by 2 and has factors of 1, 5, and 10.
Solve: A number is prime if it has how many factors?
1
3
4
2
What is the least common multiple (LCM) of 4 and 5?
12
15
20
25
Identify the prime numbers in the following list: 15, 17, 21, 23.
15
21
19
17, 23
What is the prime factorization of 45?
2 × 3 × 7
3^2 × 5
5 × 9
3 × 15
If a number has factors 1, 2, 3, and 6, what is the number?
5
8
6
4
How many prime factors does the number 30 have?
3
5
4
2
Solve: If you multiply two prime numbers, what type of number do you get?
irrational number
composite number
prime number
whole number
What is the smallest prime number?
3
5
2
1
List the first five prime numbers.
[2, 3, 5, 7, 11]
2, 3, 5, 7, 10
2, 3, 4, 5, 6
1, 4, 6, 8, 9
If a number is not prime, what can you say about its factors?
A non-prime number cannot have any factors other than 1.
All factors of a non-prime number are prime numbers.
A non-prime number has factors other than 1 and itself.
A non-prime number has only two factors: 1 and itself.
Solve: A word problem states that a gardener has 12 plants and wants to group them in prime number groups. What are the possible group sizes?
[2, 3, 5, 7, 11]
8
4
6
