Math Trivia Quiz: Factors, Multiples, Divisibility, Prime And Composite Numbers!

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Math Trivia Quiz: Factors, Multiples, Divisibility, Prime And Composite Numbers! - Quiz

This is a Math Trivia Quiz on Factors, Multiples, Divisibility, Prime and Composite Numbers! It is ideal for anyone who finds it hard to solve some common math problems as it is all-inclusive. Do you feel like you need the practice? Do give the quiz a shot, and be sure to check out others like it to perfect your math skills. All the best!


Questions and Answers
  • 1. 

    Which number is a multiple of 2?

    • A.

      1845

    • B.

      3907

    • C.

      2836

    • D.

      1909

    Correct Answer
    C. 2836
    Explanation
    2836 is the only number in the given options that is a multiple of 2. The other three numbers, 1845, 3907, and 1909, are not divisible by 2.

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  • 2. 

    Which number is a multiple of 9?

    • A.

      23,975

    • B.

      23,835

    • C.

      73,417

    • D.

      18,756

    Correct Answer
    D. 18,756
    Explanation
    18,756 is a multiple of 9 because the sum of its digits is divisible by 9. In this case, 1+8+7+5+6 = 27, and 27 is divisible by 9.

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  • 3. 

    Which pair of numbers is a factor pair for 28?

    • A.

      1 and 14

    • B.

      2 and 14

    • C.

      3 and 9

    • D.

      2 and 26

    Correct Answer
    A. 1 and 14
    Explanation
    The pair of numbers 1 and 14 is a factor pair for 28 because both numbers can divide evenly into 28 without leaving a remainder. When 1 is multiplied by 28, the result is 28, and when 14 is multiplied by 2, the result is also 28. Therefore, 1 and 14 are both factors of 28.

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  • 4. 

    Which number is a prime number?

    • A.

      21

    • B.

      36

    • C.

      33

    • D.

      47

    Correct Answer
    D. 47
    Explanation
    A prime number is a number that is only divisible by 1 and itself. In this case, only 47 fits this criteria as it is not divisible by any other number. Therefore, 47 is the prime number in the given options.

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  • 5. 

    Which number is not a multiple of 3?

    • A.

      2387

    • B.

      1986

    • C.

      1299

    • D.

      7764

    Correct Answer
    A. 2387
    Explanation
    A number is a multiple of 3 if the sum of its digits is divisible by 3. In the given options, the sum of the digits of 2387 is 20, which is not divisible by 3. Therefore, 2387 is not a multiple of 3.

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  • 6. 

    Which number is composite?

    • A.

      23

    • B.

      87

    • C.

      71

    • D.

      17

    Correct Answer
    B. 87
    Explanation
    A composite number is a positive integer that has at least one positive divisor other than one and itself. This means it can be divided evenly by numbers other than 1 and itself.
    23 is a prime number (divisors: 1, 23)
    87 is a composite number (divisors: 1, 3, 29, 87)
    71 is a prime number (divisors: 1, 71)
    17 is a prime number (divisors: 1, 17)

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  • 7. 

    Which rule is correct?

    • A.

      3: Look at the last digit and it must be a multiple of 3.

    • B.

      4: Add the numbers and it must be a multiple of 4.

    • C.

      6: The rules of 2 and 3 must apply.

    • D.

      2: The last digit must be a 1, 3, 5, 7, or 9.

    Correct Answer
    C. 6: The rules of 2 and 3 must apply.
    Explanation
    The correct answer is 6: The rules of 2 and 3 must apply. This rule is correct because it combines the rules of both 2 and 3. The rule of 2 states that the last digit must be 1, 3, 5, 7, or 9, while the rule of 3 states that the last digit must be a multiple of 3. By combining these two rules, the rule of 6 is formed, which requires the last digit to satisfy both conditions.

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  • 8. 

    Select the correct statement.

    • A.

      6 is not a factor of 42.

    • B.

      9 is not a factor of 45.

    • C.

      5 is a factor of 18.

    • D.

      7 is not a factor of 15.

    Correct Answer
    D. 7 is not a factor of 15.
    Explanation
    The statement "7 is not a factor of 15" is correct because when we divide 15 by 7, we get a remainder of 1. This means that 7 does not evenly divide into 15, making it not a factor.

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  • 9. 

    List all the factors of 20.

    • A.

      1, 3, 4, 5, 10 and 20.

    • B.

      1, 2, 5, 6, 10, and 20.

    • C.

      1, 2, 4, 5, 10 and 20

    • D.

      1, 2, 4, 9, 10 and 20

    Correct Answer
    C. 1, 2, 4, 5, 10 and 20
    Explanation
    The factors of a number are the numbers that can divide evenly into that number without leaving a remainder. In this case, the factors of 20 are 1, 2, 4, 5, 10, and 20. These numbers can all divide evenly into 20, with no remainder.

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  • 10. 

    Which number is not a factor of 30?

    • A.

      10

    • B.

      20

    • C.

      30

    • D.

      15

    Correct Answer
    B. 20
    Explanation
    The number 20 is not a factor of 30 because a factor of a number is a number that divides evenly into that number without leaving a remainder. In this case, 20 does not divide evenly into 30 as 30 divided by 20 equals 1 remainder 10. Therefore, 20 is not a factor of 30.

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  • 11. 

    Which number is a multiple of 5?

    • A.

      3498

    • B.

      1499

    • C.

      2784

    • D.

      7460

    Correct Answer
    D. 7460
    Explanation
    7460 is the only number in the given options that is divisible by 5. It ends with a 0, which means it is divisible by 10, and since 10 is a multiple of 5, 7460 is also a multiple of 5.

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  • 12. 

    Which number is prime?

    • A.

      53

    • B.

      45

    • C.

      98

    • D.

      64

    Correct Answer
    A. 53
    Explanation
    The number 53 is prime because it is only divisible by 1 and itself. It does not have any other factors. In contrast, the numbers 45, 98, and 64 are not prime because they have multiple factors other than 1 and themselves.

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  • 13. 

    Which number is not a multiple of 10?

    • A.

      2560

    • B.

      7545

    • C.

      4900

    • D.

      2860

    Correct Answer
    B. 7545
    Explanation
    The number 7545 is not a multiple of 10 because it does not end with a zero.

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  • 14. 

    Which number is composite?

    • A.

      71

    • B.

      93

    • C.

      37

    • D.

      83

    Correct Answer
    B. 93
    Explanation
    The number 93 is composite because it has factors other than 1 and itself. It can be divided evenly by 3 and 31, in addition to 1 and 93.

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  • 15. 

    Which list shows all the factors of 40?

    • A.

      10, 20, 30, and 40

    • B.

      1, 2, 4, 5, 8, 10, 20, 40

    • C.

      40, 80, 120, 160, ...

    • D.

      1, 4, 5, 8, 20, 40

    Correct Answer
    B. 1, 2, 4, 5, 8, 10, 20, 40
    Explanation
    The factors of a number are the numbers that can divide evenly into that number. In this case, the number is 40. To find the factors of 40, we need to determine which numbers can divide evenly into 40 without leaving a remainder. The numbers 1, 2, 4, 5, 8, 10, 20, and 40 can all divide evenly into 40, so they are all factors of 40.

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  • 16. 

    Which rule is not correct?

    • A.

      6: The number must be divisible by both 2 and 3.

    • B.

      10: The number must end with a 0 or 5.

    • C.

      2: The last number must be even.

    • D.

      4: The last 2 digits must be a multiple of 4.

    Correct Answer
    B. 10: The number must end with a 0 or 5.
    Explanation
    The rule that states "The number must end with a 0 or 5" is not correct because it is not necessary for a number to end with 0 or 5 in order to satisfy any mathematical property or divisibility rule.

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  • 17. 

    Which pair of numbers is a factor pair of 50?

    • A.

      1 and 25

    • B.

      2 and 10

    • C.

      2 and 25

    • D.

      3 and 20

    Correct Answer
    C. 2 and 25
    Explanation
    The pair of numbers 2 and 25 is a factor pair of 50 because when 2 is multiplied by 25, the product is 50.

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  • 18. 

    Which number is a multiple of 4?

    • A.

      3487

    • B.

      1836

    • C.

      1846

    • D.

      2874

    Correct Answer
    B. 1836
    Explanation
    1836 is a multiple of 4 because it is divisible by 4 without leaving any remainder.

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  • 19. 

    Which number is a multiple of 3?

    • A.

      3298

    • B.

      1273

    • C.

      8745

    • D.

      3449

    Correct Answer
    C. 8745
    Explanation
    The number 8745 is a multiple of 3 because the sum of its digits (8+7+4+5) is equal to 24, which is divisible by 3.

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  • 20. 

    Which number is a multiple of 2?

    • A.

      38,497

    • B.

      29,856

    • C.

      484,739

    • D.

      475,903

    Correct Answer
    B. 29,856
    Explanation
    29,856 is a multiple of 2 because it is an even number. In general, a number is a multiple of 2 if it can be divided evenly by 2 without leaving a remainder. 29,856 can be divided by 2 to give 14,928, which is another whole number. Therefore, 29,856 is a multiple of 2.

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  • Current Version
  • Aug 02, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 15, 2009
    Quiz Created by
    Fthomas
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