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Prime and Composite Numbers
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Prime and Composite Numbers
A food bank is sorting tins into equal rows for packing. Use factors to decide which numbers are prime or composite. A prime number has exactly two factors: 1 and itself. A composite number has more than two factors. The number 1 is neither prime nor composite.
Sort the numbers
Help Hamish and Mei-Mae label the food bank’s packing batches.
1.Batch A has 13 tins. Is 13 prime or composite? Explain using its factors.
2.Batch B has 18 tins. Which list gives all its factors?
- 1, 2, 3, 6, 9, 18
- 1, 2, 3, 18
- 2, 3, 6, 9
- 1, 18
3.Omar says, “The number 1 is prime because it has one factor.” Is Omar correct? Give the correct classification of 1.
4.True or false? Every even number greater than 2 is composite. Give one factor pair to support your answer.
TrueFalse
Find the packing patterns
Equal rows show factor pairs: the same number of tins goes in each row.
5.Mei-Mae arranges 20 tins into equal rectangular rows. Write three different factor pairs for 20, including 1 × 20.
6.Use a factor tree to break 36 into prime factors. Write the prime factorisation using multiplication signs.
Start with 28 and split it into factor pairs until every branch ends in a prime number.
7.A batch has 29 tins. Hamish can only make one rectangular arrangement: 1 row of 29. Is 29 prime or composite?
- Prime
- Composite
8.Which number is composite?
- 31
- 37
- 39
- 41
9.A shelf holds 24 tins. List all the factors of 24, then state whether 24 is prime or composite.
10.Challenge: What is the smallest composite number with exactly 6 factors? List all six factors to prove your answer.
3 printable pages
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