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Question

Complete the multiplication chart given here.



Look at the green boxes in the chart. These show how we can get 12 by multiplying different numbers.
 
12
4 × 3
6 × 2
1 × 12

12 = 4 × 3, so 12 is a multiple of both 4 and 3. 12 is also a multiple of 6 and 2, as well as 12 and 1. We say 1, 2, 3, 4, 6, 12 are factors of 12.

• What are the factors of 10? _________
10
5 × 2
_ _ _

Can you do this from the chart?
• What are the factors of 36? ________
• Find out all the factors of 36 from the multiplication chart.
• What is the biggest number for which you can find the factors form this chart?
• What can you do for numbers bigger than that?


Solution


  • Factors of 10 are 1, 2, 5 and 10.
 
10
5 × 2
1 × 10
 
  • Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.
 
36
2 × 18
3 × 12
1 × 36
4 × 9
6 × 6
  • 144 is the largest number for which we can find out factors from this chart.
  • For numbers larger than this, we will extend our multiplication chart, both row wise and column wise, and then complete the chart.

Mathematics
Math Magic
Standard V

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