48,24,6,36,12,54
Which of the following describe this set.
A. Numbers that are multiples of 3
B. Numbers that are prime.
C. Numbers that are divisible by 6
D. Numbers that are factors of 36
I think its a and c
they are not factors of 36, nor prime.
To determine which options describe the given set of numbers (48, 24, 6, 36, 12, 54), let's analyze each option:
A. Numbers that are multiples of 3: To verify this, we need to check if each number in the set is divisible by 3. Here's the breakdown:
- 48 ÷ 3 = 16 (yes)
- 24 ÷ 3 = 8 (yes)
- 6 ÷ 3 = 2 (yes)
- 36 ÷ 3 = 12 (yes)
- 12 ÷ 3 = 4 (yes)
- 54 ÷ 3 = 18 (yes)
As all numbers in the set are divisible by 3, option A is correct.
B. Numbers that are prime: To determine if any of the numbers are prime, we need to check if they have any divisors other than 1 and themselves. However, since all the numbers in the given set have divisors other than 1 and themselves, option B is incorrect.
C. Numbers that are divisible by 6: Similar to option A, we need to verify if the numbers in the set are divisible by 6.
- 48 ÷ 6 = 8 (yes)
- 24 ÷ 6 = 4 (yes)
- 6 ÷ 6 = 1 (yes)
- 36 ÷ 6 = 6 (yes)
- 12 ÷ 6 = 2 (yes)
- 54 ÷ 6 = 9 (no)
Given that all numbers, except for 54, are divisible by 6, option C is partially correct.
D. Numbers that are factors of 36: To check if the numbers in the set are factors of 36, we need to see if they divide 36 without any remainder.
- 48 ÷ 36 = 1 remainder 12 (no)
- 24 ÷ 36 = 0 remainder 24 (no)
- 6 ÷ 36 = 0 remainder 6 (yes)
- 36 ÷ 36 = 1 remainder 0 (yes)
- 12 ÷ 36 = 0 remainder 12 (no)
- 54 ÷ 36 = 1 remainder 18 (no)
Based on this, only 6 and 36 are factors of 36, so option D is incorrect.
In conclusion, your intuition was correct. The correct options are A (Numbers that are multiples of 3) and C (Numbers that are divisible by 6).