# Exercise 3.4

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- To find the common factors of multiple numbers, we list the factors of each number and identify the factors they have in common.
- For 4, 8 and 12 so Factors of 4 is 1, 2, 4 and Factors of 8: 1, 2, 4, 8 and Factors of 12: 1, 2, 3, 4, 6, 12.
- Common factors are:
, , . - For 5, 15 and 25 so factors of 5 is 1, 5 and Factors of 15: 1, 3, 5, 15 and Factors of 25: 1, 5, 25
- Common factors are:
, .

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**Find first three common multiples of :**

**a.** **6 and 8 :**

multiples of 6 : 6, 12,

mutltipes of 8 : 8, 16, 24,

The first three common multiples are:

**b.** **12 and 18 :**

Multiples of 12: 12, 24,

Multiples of 18: 18, 36,

The first three common multiples are:

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**Which of the following numbers are co-prime?**

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6.**A number is divisible by both 5 and 12. By which other number will that number be always divisible?**

7.**A number is divisible by 12. By what other numbers will that number be divisible?**

If a number is divisible by 12, it means it is a multiple of 12. To find the other numbers by which it will be divisible, we need to find the factors of 12.

The factors of 12 are 1,

Therefore, a number that is divisible by 12 will also be divisible by 1, 2, 3, 4, 6, and 12.