Prime Numbers, Composite Numbers and Divisibility - Question Bank

1. A number is divisible by 7 if doubling the last digit and subtracting it from the remaining number results in a number divisible by:
A) 2
B) 3
C) 5
D) 7
2. Which of the following is NOT a divisor of 36?
A) 4
B) 7
C) 9
D) 12
3. The number 64 is a:
A) Prime number
B) Composite number
C) Odd number
D) Prime factor
4. Which of the following numbers is divisible by 11? (Alternating sum of digits)
A) 2345
B) 3456
C) 4567
D) 5678
5. The number 2 is:
A) An odd prime
B) An even composite
C) An even prime
D) An odd composite
6. If a number is divisible by 3 and 5, it is also divisible by:
A) 8
B) 10
C) 15
D) 30
7. Which of the following is a prime number?
A) 87
B) 91
C) 97
D) 99
8. A number is divisible by 5 if its last digit is 0 or:
A) 1
B) 2
C) 3
D) 5
9. What is the prime factorization of 56?
A) 7 x 8
B) 2 x 2 x 2 x 7
C) 2 x 4 x 7
D) 4 x 14
10. Which of the following is a composite number?
A) 13
B) 17
C) 19
D) 21
11. A number is divisible by 9 if the sum of its digits is divisible by:
A) 3
B) 6
C) 9
D) 11
12. The prime factorization of 42 is:
A) 2 x 3 x 7
B) 6 x 7
C) 2 x 21
D) 3 x 14
13. Which of the following is the largest prime number less than 50?
A) 41
B) 43
C) 47
D) 49
14. The number 1 is:
A) Prime
B) Composite
C) Neither prime nor composite
D) Both prime and composite
15. Which number is divisible by both 2 and 3?
A) 10
B) 12
C) 14
D) 16
16. The sum of the digits of 789 is:
A) 21
B) 22
C) 23
D) 24
17. Which of the following numbers is divisible by 11?
A) 121
B) 123
C) 125
D) 127
18. The number 100 is a:
A) Prime number
B) Composite number
C) Odd number
D) Prime factor
19. Which of the following is a prime number?
A) 51
B) 53
C) 57
D) 59
20. What is the smallest odd prime number?
A) 1
B) 3
C) 5
D) 7
21. A number is divisible by 12 if it is divisible by both 3 and:
A) 2
B) 4
C) 5
D) 6
22. Which of the following is NOT a divisor of 24?
A) 3
B) 5
C) 6
D) 8
23. The number 37 is a:
A) Composite number
B) Even number
C) Prime number
D) Perfect number
24. Which of the following numbers is divisible by 8? (A number is divisible by 8 if the number formed by its last three digits is divisible by 8)
A) 1234
B) 5678
C) 9016
D) 2345
25. A number that is divisible by 2 is called an:
A) Odd number
B) Prime number
C) Even number
D) Composite number
26. The prime factorization of 30 is:
A) 2 x 3 x 5
B) 2 x 15
C) 3 x 10
D) 5 x 6
27. Which of the following is a composite number?
A) 23
B) 29
C) 31
D) 33
28. A factor of a number is a number that divides it without leaving a:
A) Quotient
B) Sum
C) Remainder
D) Product
29. Which of the following numbers is divisible by 7?
A) 14
B) 15
C) 16
D) 18
30. The number 25 is a:
A) Prime number
B) Composite number
C) Even number
D) Odd prime number
31. Which of the following is the smallest prime number?
A) 0
B) 1
C) 2
D) 3
32. What is the sum of the digits of the number 345?
A) 10
B) 11
C) 12
D) 13
33. A number is divisible by 11 if the difference between the sum of digits at odd places and the sum of digits at even places is divisible by:
A) 3
B) 5
C) 11
D) 13
34. Which of the following numbers is divisible by 4?
A) 123
B) 456
C) 789
D) 101
35. If a number leaves a remainder of 0 when divided by another number, it is said to be:
A) Prime
B) Composite
C) Divisible
D) Even
36. The number 17 is a:
A) Composite number
B) Even number
C) Prime number
D) Square number
37. Which prime number is an even number?
A) 0
B) 2
C) 4
D) 6
38. A number that has more than two positive divisors is called a:
A) Prime number
B) Composite number
C) Perfect number
D) Fibonacci number
39. What is the prime factorization of 12?
A) 2 x 6
B) 3 x 4
C) 2 x 2 x 3
D) 2 x 3 x 3
40. Which of the following is NOT a prime number?
A) 2
B) 3
C) 5
D) 9
41. The divisibility rule for 10 states that a number is divisible by 10 if its last digit is:
A) 1
B) 0
C) 5
D) Any even digit
42. Which of the following numbers is divisible by 9?
A) 1234
B) 5678
C) 9018
D) 2345
43. A number is divisible by 6 if it is divisible by both 2 and:
A) 3
B) 4
C) 5
D) 7
44. Which of the following numbers is divisible by 5?
A) 123
B) 456
C) 780
D) 911
45. A number is divisible by 3 if the sum of its digits is divisible by:
A) 2
B) 3
C) 4
D) 5
46. Which of the following numbers is divisible by 2?
A) 13
B) 17
C) 22
D) 29
47. The number 1 is neither a prime number nor a:
A) Even number
B) Odd number
C) Composite number
D) Natural number
48. Which of the following is the smallest composite number?
A) 1
B) 2
C) 3
D) 4
49. A number that has exactly two distinct positive divisors, 1 and itself, is called a:
A) Composite number
B) Even number
C) Prime number
D) Odd number
50. Which of the following numbers is a prime number?
A) 4
B) 9
C) 11
D) 15
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