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He wants to divide 24 eggs into equal groups. This can be done like this: 24 = 12 * 2 ( or 2 groups of 12 eggs ), 24 = 8 * 3, 24 = 6 * 4, 24 = 4 * 6, 24 = 2 * 12 ( or 12 groups of 2 eggs ). 24 = 24 * 1 is not possible, because then you have only one group of eggs ( you are not dividing them ). The possible numbers of eggs are: B ) 2, 4, 6, 8, 12.

Answered by Vuk15 | 2024-06-24

The correct answer is C. 1,2,3,4,6,8,12,24.
To find the possible numbers of eggs that Terrence could put in each group, we need to determine the divisors of 24. A divisor of a number is a number that divides it without leaving a remainder.
The divisors of 24 can be found by considering the factors of 24. The prime factorization of 24 is 2 3 × 3 1 . From this prime factorization, we can find the divisors by taking all combinations of the prime factors:

1 (by taking no factors at all)

2 (by taking one factor of 2)

4 (by taking two factors of 2)

8 (by taking all three factors of 2)

3 (by taking one factor of 3)

6 (by taking one factor of 2 and one factor of 3)

12 (by taking two factors of 2 and one factor of 3)

24 (by taking all factors: three factors of 2 and one factor of 3)


These are all the divisors of 24, and thus, the possible numbers of eggs Terrence could put in each group are 1, 2, 3, 4, 6, 8, 12, and 24.
Option A only includes some of the divisors, option B also includes some but not all, and option D includes numbers that are multiples of 24, not divisors. Option C is the correct answer as it includes all the divisors of 24.

Answered by SagarSa | 2024-06-28

Terrence can divide his 24 eggs into 1, 2, 3, 4, 6, 8, 12, or 24 eggs per group. The correct answer is C, which lists all the valid group sizes. Each number is a factor of 24, allowing for equal groups of eggs.
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Answered by Vuk15 | 2024-10-15