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Prime Numbers and Factors

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Prime Numbers and Factors

Use factor pairs and prime factorisation to solve each challenge. Show working where asked. Remember: a prime number has exactly two factors, 1 and itself; 1 is not prime.

Decode the numbers

Start by spotting primes and finding factor pairs.

1.Which numbers in this list are prime? Select all that apply: 29, 33, 37, 39.

2.True or false: 1 is a prime number. Explain why.

1 × 36

2 × 18

3 × 12

4 × 9

6 × 6

3.Use the factor-pair investigation to list every positive factor of 36 in ascending order.

4.A number has exactly three positive factors: 1, 7 and 49. Is it prime or composite? Explain.

Plan the event

Use common factors and common multiples to help organise a community event in Aotearoa New Zealand.

5.A food stall has 48 apples and 72 feijoas. The stallholder wants to make identical fruit packs, using all the fruit with no leftovers. What is the greatest number of packs possible? How many apples and feijoas go in each pack?

Kapa haka reminder: every 6 days

Market reminder: every 8 days

6.Both reminders are sent today. In how many days will they next be sent on the same day?

7.All three reminders are sent today. A third reminder is sent every 9 days. Find the first day number when all three reminders are sent together again. Show how you know.

Prime-factor puzzle

Use prime factors to uncover the final code.

8.Write 84 as a product of prime factors. Use index notation where possible.

9.A secret number is between 40 and 60. It is divisible by 3 and 5, but it is not divisible by 2. What is the secret number? Explain your reasoning.

10.Challenge: Find the HCF of 84 and 126 using prime factorisation. Show the shared prime factors you use.

3 printable pages

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Page 2
Page 3

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Year 3

Prime Numbers and Factors

Prime Numbers and Factors

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Plan the event

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3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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