(c) Gunjan has 48 bangles. She wants to arrange them in equal groups such that no
bangle is left. How many different groups of bangles can she form?



Answer :

Gunjan has 48 bangles and wants to arrange them in equal groups without leaving any bangle behind. To find out how many different groups of bangles she can form, we need to determine the factors of 48.

1. Factors of 48:
- 1 and 48
- 2 and 24
- 3 and 16
- 4 and 12
- 6 and 8

2. Since Gunjan wants to arrange them in equal groups, we consider pairs of factors where the two numbers multiplied together give 48.

3. Therefore, she can form the following different groups:
- 48 groups of 1 bangle each
- 24 groups of 2 bangles each
- 16 groups of 3 bangles each
- 12 groups of 4 bangles each
- 8 groups of 6 bangles each

So, Gunjan can form 48, 24, 16, 12, or 8 different groups of bangles, depending on how many bangles she wants in each group.

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