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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?

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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.

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