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Factors and Division
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Factors and Division
Help Kahu, Aisha and Mele organise props and tickets for a school play. Show your working where you can. A factor divides a number exactly, with no remainder.
Find the factors
Use factor pairs and divisibility to solve the backstage challenges.
1.There are 72 prop badges to share equally. Which number is not a factor of 72?
- 6
- 8
- 9
- 10
2.Aisha arranges 36 chairs in equal rows. Select the complete list of positive factors of 36.
- 1, 2, 3, 4, 6, 9, 12, 18, 36
- 1, 2, 3, 4, 6, 12, 36
- 2, 3, 4, 6, 9, 18
- 1, 2, 3, 6, 9, 36
3.Kahu packs 84 programmes into identical bundles. Which numbers are prime factors of 84? Select all that apply.
- 2
- 3
- 4
- 7
- 14
4.Mele knows that 8 × 9 = 72. Complete the related division fact: 72 ÷ 8 = .
5.The stage crew has 48 prop boxes. Write every factor pair of 48, from the pair with the smallest first factor to the pair with the largest first factor.
6.A box holds 156 tickets. The tickets are shared equally among 12 helpers. How many tickets does each helper get? Show a calculation.
7.The cast has 95 paper stars to share equally among 6 stage areas. Use the number line to show how many full groups of 6 fit into 95, then state how many stars are left over.
Draw a factor tree for 60. Finish by writing 60 as a product of prime factors.
8.True or false? If 7 divides a number exactly, then 7 is a factor of that number.
TrueFalse
9.The theatre sells 240 tickets in equal bundles. Aisha says bundles of 15 will work; Kahu says bundles of 16 will work. Check both claims using division, then name one bundle size that works for both claims if there is one.
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