Certainly! To determine which number in the list is a multiple of 6, we need to check if each number is divisible by 6. A number is a multiple of 6 if it satisfies two criteria:
1. The number is divisible by 2 (it is even).
2. The number is divisible by 3 (the sum of its digits is divisible by 3).
Let's go through each number in the list and check whether or not it is a multiple of 6.
1. 25:
- Divisibility by 2: 25 is not even (not divisible by 2).
- Divisibility by 3: Sum of digits = 2 + 5 = 7 (not divisible by 3).
- Conclusion: 25 is not a multiple of 6.
2. 13:
- Divisibility by 2: 13 is not even (not divisible by 2).
- Divisibility by 3: Sum of digits = 1 + 3 = 4 (not divisible by 3).
- Conclusion: 13 is not a multiple of 6.
3. 42:
- Divisibility by 2: 42 is even (divisible by 2).
- Divisibility by 3: Sum of digits = 4 + 2 = 6 (divisible by 3).
- Conclusion: 42 is a multiple of 6.
4. 5:
- Divisibility by 2: 5 is not even (not divisible by 2).
- Divisibility by 3: Sum of digits = 5 (not divisible by 3).
- Conclusion: 5 is not a multiple of 6.
5. 28:
- Divisibility by 2: 28 is even (divisible by 2).
- Divisibility by 3: Sum of digits = 2 + 8 = 10 (not divisible by 3).
- Conclusion: 28 is not a multiple of 6.
6. 37:
- Divisibility by 2: 37 is not even (not divisible by 2).
- Divisibility by 3: Sum of digits = 3 + 7 = 10 (not divisible by 3).
- Conclusion: 37 is not a multiple of 6.
7. 55:
- Divisibility by 2: 55 is not even (not divisible by 2).
- Divisibility by 3: Sum of digits = 5 + 5 = 10 (not divisible by 3).
- Conclusion: 55 is not a multiple of 6.
After checking each number, we found that the only number in the list that meets the criteria for being a multiple of 6 is 42. Therefore, the number in the list that is a multiple of 6 is 42.
