Which of the following numbers is a prime number?
(1 point)
10
27
39
47
47 is a prime number.
What is the prime factorization of 30?
(1 point)
Responses
2 times 15
Image with alt text: 2 times 15
3 times 10
Image with alt text: 3 times 10
2 times 3 times 5
Image with alt text: 2 times 3 times 5
2 times 2 times 3 times 3
Image with alt text: 2 times 2 times 3 times 3
2 times 3 times 5
What is the prime factorization of 66?
(1 point)
Responses
6 times 11
Image with alt text: 6 times 11
2 times 3 times 11
Image with alt text: 2 times 3 times 11
2 times 2 times 2 times 11
Image with alt text: 2 times 2 times 2 times 11
2 times 33
2 times 3 times 11
What is the prime factorization of 124?
(1 point)
Responses
2 times 2 times 31
Image with alt text: 2 times 2 times 31
2 times 2 times 2 times 2 times 2 times 2 times 2
Image with alt text: 2 times 2 times 2 times 2 times 2 times 2 times 2
2 times 3 times 20
Image with alt text: 2 times 3 times 20
4 times 31
Image with alt text: 4 times 31
2 times 2 times 31
What is the prime factorization of 288? Write your answer using exponents.
(1 point)
Responses
2 superscript 5 baseline times 9
Image with alt text: 2 superscript 5 baseline times 9
2 cubed times 3 squared times 5
Image with alt text: 2 cubed times 3 squared times 5
3 squared times 32
Image with alt text: 3 squared times 32
2 superscript 5 times 3 squared
2^5 times 3^2
To determine whether a number is prime, we need to check if it is divisible by any number other than 1 and itself. Let's go through each of the given numbers and check if they are prime.
1. 10: To check if 10 is prime, we need to find any numbers other than 1 and 10 that divide it evenly. In this case, we can see that 10 is divisible by 2 and 5 in addition to 1 and 10. Therefore, 10 is not a prime number.
2. 27: Again, we need to find any numbers other than 1 and 27 that divide it evenly to check if it is prime. In this case, we can see that 27 is divisible by 3 and 9 in addition to 1 and 27. Therefore, 27 is not a prime number.
3. 39: Similar to before, we need to find any numbers other than 1 and 39 that divide it evenly to check if it is prime. After checking, we can see that 39 is divisible by 3, 13, and 39 in addition to 1. Therefore, 39 is not a prime number.
4. 47: Now, let's check if 47 is prime. After checking, we find that 47 is only divisible by 1 and 47, with no other factors. Therefore, 47 is a prime number.
Out of the given numbers, only 47 is a prime number.