Answer:
1. 43
2. 52
3. 432
4. 500
5. 258
6. 2
7. 200
8. 9
9. 2
10. 1
11. 4
12. 1
Explanation:
1. A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. Among the given numbers, 43 is the only prime number 12. Therefore, the answer is 43.
2. A composite number is a positive integer greater than 1 that has more than two positive divisors. Among the given numbers, 52 is a composite number 12. Therefore, the answer is 52.
3. To check whether a number is divisible by 3, we can add up its digits and see if the sum is divisible by 3.
Let’s add up the digits of each number:
432: 4 + 3 + 2 = 9
203: 2 + 0 + 3 = 5
332: 3 + 3 + 2 = 8
The only number that is divisible by 3 is 432 because the sum of its digits is 9, which is divisible by 3 1. Therefore, the answer is 432.
4. To check whether a number is divisible by 5, we can look at the last digit of the number. If the last digit is 0 or 5, then the number is divisible by 5.
Among the given numbers, 500 is divisible by 5 because its last digit is 0. Therefore, the answer is 500.
5. To find the sixth multiple of 43, we can multiply 43 by 6.
6 x 43 = 258
Therefore, the sixth multiple of 43 is 258.
6. 2 is the only even prime number.
7. To determine which number among 432, 200, and 335 is divisible by both 2 and 10, we need to check if each number is divisible by both 2 and 10.
The number 432 is divisible by 2 because it ends in an even digit. However, it is not divisible by 10 because the last digit is not 0.
The number 200 is divisible by both 2 and 10 because it ends in 0 and is an even number.
The number 335 is not divisible by 2 because it ends in an odd digit. Therefore, it is not divisible by both 2 and 10.
Therefore, the number among 432, 200, and 335 that is divisible by both 2 and 10 is 200.
8. To determine which number among 5, 7, and 9 is a factor of 72, we need to check if each number divides evenly into 72 without leaving a remainder.
Let's check each number:
5 is not a factor of 72 because 72 divided by 5 is 14 remainder 2.
7 is not a factor of 72 because 72 divided by 7 is 10 remainder 2.
9 is a factor of 72 because 72 divided by 9 is exactly 8.
Therefore, the number among 5, 7, and 9 that is a factor of 72 is 9.
9. The smallest prime number is 2.
10. The number that is neither prime nor composite is 1.
11. 4 is the smallest composite number.
12. 1 is a factor of every number.