yelooo
Determine the number that 88 is divisible by from the choices provided.(1 point)
Responses
3
3
2
2
5
5
6
Determine the number that 88 is divisible by from the choices provided.(1 point)
Responses
3
3
2
2
5
5
6
Answers
Answered by
Missyyyyyy Catieeeeeeeš«¶(Connex-Us Q&A 6th)
Determine the number greater than 19 and less than 34 that is divisible by 6 and 10.(1 point)
Responses
24
24
30
30
60
60
20
Responses
24
24
30
30
60
60
20
Answered by
Missyyyyyy Catieeeeeeeš«¶(Connex-Us Q&A 6th)
Identify the number classified as prime.(1 point)
Responses
29
29
39
39
49
49
69
69
Responses
29
29
39
39
49
49
69
69
Answered by
Missyyyyyy Catieeeeeeeš«¶(Connex-Us Q&A 6th)
Identify the number classified as composite.(1 point)
Responses
27
27
37
37
67
67
47
Responses
27
27
37
37
67
67
47
Answered by
Missyyyyyy Catieeeeeeeš«¶(Connex-Us Q&A 6th)
Classify zero (0) as prime or composite.(1 point)
Responses
composite
composite
both prime and composite
both prime and composite
prime
prime
neither prime nor composite
Responses
composite
composite
both prime and composite
both prime and composite
prime
prime
neither prime nor composite
Answered by
GPT-4o mini
To determine which numbers 88 is divisible by, we can check each option:
1. **3**: A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits in 88 is 8 + 8 = 16, which is not divisible by 3. So, 88 is **not** divisible by 3.
2. **2**: A number is divisible by 2 if it is even. Since 88 is even, it is divisible by 2.
3. **5**: A number is divisible by 5 if it ends in 0 or 5. Since 88 ends in 8, it is **not** divisible by 5.
4. **6**: A number is divisible by 6 if it is divisible by both 2 and 3. We already established that 88 is divisible by 2 but not by 3, so it is **not** divisible by 6.
From the options provided, the only number that 88 is divisible by is **2**.
1. **3**: A number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits in 88 is 8 + 8 = 16, which is not divisible by 3. So, 88 is **not** divisible by 3.
2. **2**: A number is divisible by 2 if it is even. Since 88 is even, it is divisible by 2.
3. **5**: A number is divisible by 5 if it ends in 0 or 5. Since 88 ends in 8, it is **not** divisible by 5.
4. **6**: A number is divisible by 6 if it is divisible by both 2 and 3. We already established that 88 is divisible by 2 but not by 3, so it is **not** divisible by 6.
From the options provided, the only number that 88 is divisible by is **2**.
Answered by
GPT-4o mini
To find a number greater than 19 and less than 34 that is divisible by both 6 and 10, we first need to determine the least common multiple (LCM) of 6 and 10.
The LCM of 6 and 10 can be found by:
- The prime factors of 6 are: \(2 \times 3\)
- The prime factors of 10 are: \(2 \times 5\)
To find the LCM, take the highest power of each prime that appears in the factorization:
- From 6: \(2^1, 3^1\)
- From 10: \(2^1, 5^1\)
So, the LCM is:
\[
2^1 \times 3^1 \times 5^1 = 2 \times 3 \times 5 = 30
\]
Now, we check if 30 falls within the specified range:
- Is 30 greater than 19? Yes.
- Is 30 less than 34? Yes.
Thus, the only number greater than 19 and less than 34 that is divisible by both 6 and 10 is:
**30**.
The LCM of 6 and 10 can be found by:
- The prime factors of 6 are: \(2 \times 3\)
- The prime factors of 10 are: \(2 \times 5\)
To find the LCM, take the highest power of each prime that appears in the factorization:
- From 6: \(2^1, 3^1\)
- From 10: \(2^1, 5^1\)
So, the LCM is:
\[
2^1 \times 3^1 \times 5^1 = 2 \times 3 \times 5 = 30
\]
Now, we check if 30 falls within the specified range:
- Is 30 greater than 19? Yes.
- Is 30 less than 34? Yes.
Thus, the only number greater than 19 and less than 34 that is divisible by both 6 and 10 is:
**30**.
Answered by
GPT-4o mini
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Let's check each of the provided numbers:
1. **29**: The only divisors are 1 and 29. So, 29 is a prime number.
2. **39**: The divisors are 1, 3, 13, and 39. So, 39 is not a prime number.
3. **49**: The divisors are 1, 7, and 49. So, 49 is not a prime number since it can be divided by 7.
4. **69**: The divisors are 1, 3, 23, and 69. So, 69 is not a prime number.
Therefore, the number classified as prime from the given options is:
**29**.
1. **29**: The only divisors are 1 and 29. So, 29 is a prime number.
2. **39**: The divisors are 1, 3, 13, and 39. So, 39 is not a prime number.
3. **49**: The divisors are 1, 7, and 49. So, 49 is not a prime number since it can be divided by 7.
4. **69**: The divisors are 1, 3, 23, and 69. So, 69 is not a prime number.
Therefore, the number classified as prime from the given options is:
**29**.
Answered by
GPT-4o mini
A composite number is a natural number greater than 1 that is not prime, meaning it has positive divisors other than 1 and itself. Let's evaluate each of the provided numbers:
1. **27**: The divisors are 1, 3, 9, and 27. Since it has divisors other than 1 and itself, 27 is a composite number.
2. **37**: The only divisors are 1 and 37. So, 37 is a prime number, not composite.
3. **67**: The only divisors are 1 and 67. So, 67 is also a prime number, not composite.
4. **47**: The only divisors are 1 and 47. So, 47 is also a prime number, not composite.
From the choices given, the number classified as composite is:
**27**.
1. **27**: The divisors are 1, 3, 9, and 27. Since it has divisors other than 1 and itself, 27 is a composite number.
2. **37**: The only divisors are 1 and 37. So, 37 is a prime number, not composite.
3. **67**: The only divisors are 1 and 67. So, 67 is also a prime number, not composite.
4. **47**: The only divisors are 1 and 47. So, 47 is also a prime number, not composite.
From the choices given, the number classified as composite is:
**27**.
Answered by
GPT-4o mini
Zero (0) is neither classified as a prime nor a composite number. Hereās why:
- **Prime Number**: A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Since 0 is not greater than 1, it cannot be classified as prime.
- **Composite Number**: A composite number is defined as a natural number greater than 1 that has more than two distinct positive divisors. Again, since 0 is not greater than 1, it cannot be classified as composite either.
Thus, the correct classification for zero is:
**neither prime nor composite**.
- **Prime Number**: A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Since 0 is not greater than 1, it cannot be classified as prime.
- **Composite Number**: A composite number is defined as a natural number greater than 1 that has more than two distinct positive divisors. Again, since 0 is not greater than 1, it cannot be classified as composite either.
Thus, the correct classification for zero is:
**neither prime nor composite**.