a) On the occasion of Bishwant's birthday, he distributed 24 snickers and
36 cadburies equally to his friends.
(i) Write the possible numbers of friends to whom the snickers can be
equally distributed.



Answer :

To find out how many friends Bishwant can equally distribute the 24 snickers to, we need to determine all the possible numbers of friends that can exactly divide 24 without leaving any remainder. In other words, we are looking for all the divisors of 24.

Let's go through this step-by-step:

1. Understand the problem: We need to find how many ways we can distribute 24 snickers to friends such that each friend gets the same number of snickers and there are no leftovers.

2. Definition of divisors: A divisor of a number is a value that divides the number completely, i.e., without any remainder. For example, if we divide 24 by a number and the result is a whole number, then that number is a divisor of 24.

3. Finding divisors of 24: To find the divisors of 24, we can list all pairs of numbers that multiply together to give the product 24. These numbers are the possible ways Bishwant can distribute the snickers evenly.

4. Listing them out:
- 24 divided by 1 equals 24 (so 1 is a divisor).
- 24 divided by 2 equals 12 (so 2 is a divisor).
- 24 divided by 3 equals 8 (so 3 is a divisor).
- 24 divided by 4 equals 6 (so 4 is a divisor).
- 24 divided by 6 equals 4 (so 6 is a divisor).
- 24 divided by 8 equals 3 (so 8 is a divisor).
- 24 divided by 12 equals 2 (so 12 is a divisor).
- 24 divided by 24 equals 1 (so 24 is a divisor).

When we list all the numbers that divide 24 evenly, we get the following divisors:
[tex]\[ 1, 2, 3, 4, 6, 8, 12, 24 \][/tex]

Thus, the possible numbers of friends to whom the 24 snickers can be equally distributed are:
[tex]\[ 1, 2, 3, 4, 6, 8, 12, 24 \][/tex]

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