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Prime Numbers Exploration Worksheet
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Prime Numbers Exploration Worksheet
A prime number has exactly two factors: 1 and itself. The number 1 is not prime. Follow the directions for each question.
Spotting prime numbers
1.Look at the number grid. Write every prime number from 1 to 50 in ascending order.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
2.Which number is prime: 39, 41, 51 or 57?
- 39
- 41
- 51
- 57
3.Select every prime number in this set: 8, 11, 15, 17, 22, 23, 27, 31.
4.True or false: 1 is a prime number.
TrueFalse
5.True or false: 2 is the only even prime number.
TrueFalse
6.True or false: 53 is prime.
TrueFalse
Prime factors
Break each number into a product of prime numbers. Repeated prime factors should be written more than once.
7.Write 24 as a product of prime factors.
8.Write 36 as a product of prime factors.
9.Write 56 as a product of prime factors.
10.Complete the prime factorisation: 40 = 2 × 2 × .
11.Complete the prime factorisation: 66 = 2 × 3 × .
12.Complete the prime factorisation: 70 = 2 × 5 × .
Prime numbers in problems
13.Wiremu has 43 beads. Can she divide them into two or more equal groups, each containing more than one bead, with no beads left over? Explain using the factors of 43.
14.A prime number greater than 30 and less than 40 has digits that add to 10. What is the number?
15.There are 28 players at a sports day. They must be placed into equal-sized teams with no players left over. What team sizes are possible? Give all factor pairs of 28.
16.A class of 31 students is to be split into equal groups. Which prime numbers of groups are possible if every student must be in a group and no one is left over? Explain.
3 printable pages
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