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Factors and Multiples Exploration
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Factors and Multiples Exploration
Explore factors, multiples and number patterns. Show your thinking where a question asks you to explain or draw.
Factors and multiples
1.Which statement describes a factor of a number?
- A number that can be added to it
- A number that divides into it with no remainder
- A number that is greater than it
2.Select every factor of 18 from this list.
- 2
- 3
- 4
- 6
- 9
- 12
3.Complete these factor pairs for 30: 1 × = 30; 2 × = 30; 3 × = 30; 5 × = 30.
4.Write the first five positive multiples of 8.
5.Look at the sequence 6, 12, 18, 24, 30. What number is added each time, and what are the next two numbers?
6
12
18
24
30
Investigate and explain
6.List every factor of 28. You may use the array sketch to help organise your factor pairs.
7.True or false: every whole number is a factor of itself. Explain your choice using an example.
8.A whole number greater than 20 and less than 30 has exactly six factors. Find the number and list all its factors.
9.A baker arranges 20 muffins in equal rows, with none left over. Give three different row-and-muffin arrangements.
10.Explain how factors and multiples are different. Include an example of each using the number 6.
3 printable pages
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