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

1) Which number is not a multiple of 10?

2560

7545

4900

2860

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

Explanation

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

2) Which number is a multiple of 5?

3498

1499

2784

7460

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.

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.

3) Which number is not a factor of 30?

10

20

30

15

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.

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.

4) List all the factors of 20.

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

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

1, 2, 4, 5, 10 and 20

1, 2, 4, 9, 10 and 20

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.

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.

5) Which number is a multiple of 2?

38,497

29,856

484,739

475,903

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.

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.

6) Which list shows all the factors of 40?

10, 20, 30, and 40

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

40, 80, 120, 160, ...

1, 4, 5, 8, 20, 40

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.

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.

7) Which number is prime?

53

45

98

64

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.

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.

8) Which number is a multiple of 2?

1845

3907

2836

1909

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.

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.

9) Which number is a multiple of 9?

23,975

23,835

73,417

18,756

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.

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.

10) Which number is a prime number?

21

36

33

47

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.

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.

11) Which rule is correct?

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

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

6: The rules of 2 and 3 must apply.

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

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.

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.

12) Which number is not a multiple of 3?

2387

1986

1299

7764

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.

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.

13) Which number is a multiple of 4?

3487

1836

1846

2874

1836 is a multiple of 4 because it is divisible by 4 without leaving any remainder.

Explanation

1836 is a multiple of 4 because it is divisible by 4 without leaving any remainder.

14) Which number is composite?

71

93

37

83

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.

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.

15) Which number is a multiple of 3?

3298

1273

8745

3449

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.

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.

16) Select the correct statement.

6 is not a factor of 42.

9 is not a factor of 45.

5 is a factor of 18.

7 is not a factor of 15.

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.

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.

17) Which pair of numbers is a factor pair of 50?

1 and 25

2 and 10

2 and 25

3 and 20

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

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.

18) Which rule is not correct?

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

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

2: The last number must be even.

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

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.

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.

19) Which number is composite?

23

87

71

17

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)

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)

20) Which pair of numbers is a factor pair for 28?

1 and 14

2 and 14

3 and 9

2 and 26

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.

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.