MCQ on factors and multiples for class 6

1) Which of these is not the factor of the number 12?

5

6

12

2

The number 5 is not a factor of 12 because a factor of a number is a whole number that can be divided evenly into that number. In the case of 12, the factors are 1, 2, 3, 4, 6, and 12. Since 5 is not one of these factors, it is not a factor of 12.

Explanation

The number 5 is not a factor of 12 because a factor of a number is a whole number that can be divided evenly into that number. In the case of 12, the factors are 1, 2, 3, 4, 6, and 12. Since 5 is not one of these factors, it is not a factor of 12.

2) Which number below is a common factor of both 24 and 36?

7

12

9

5

The number 12 is a common factor of both 24 and 36 because it is a number that can divide evenly into both 24 and 36 without leaving a remainder.

Explanation

The number 12 is a common factor of both 24 and 36 because it is a number that can divide evenly into both 24 and 36 without leaving a remainder.

3) Which number is a factor of 50?

15

20

22

25

The factor of a number is a number that divides evenly into that number. In this case, the factors of 50 are 1, 2, 5, 10, 25, and 50. Among the given options, only 25 is a factor of 50.

Explanation

The factor of a number is a number that divides evenly into that number. In this case, the factors of 50 are 1, 2, 5, 10, 25, and 50. Among the given options, only 25 is a factor of 50.

4) Which of these is a factor of 48?

12

13

14

15

12 is a factor of 48 because it divides evenly into 48 without leaving a remainder. In other words, 48 can be divided by 12 to give a whole number result.

Explanation

12 is a factor of 48 because it divides evenly into 48 without leaving a remainder. In other words, 48 can be divided by 12 to give a whole number result.

5) Which of the following is a prime number?

12

22

7

4

A prime number is a number that is only divisible by 1 and itself. In this question, out of the given options, only 7 meets this criteria. 12, 22, and 4 are all divisible by numbers other than 1 and themselves, making them composite numbers. Therefore, the correct answer is 7.

Explanation

A prime number is a number that is only divisible by 1 and itself. In this question, out of the given options, only 7 meets this criteria. 12, 22, and 4 are all divisible by numbers other than 1 and themselves, making them composite numbers. Therefore, the correct answer is 7.

6) Which of these is not a factor of number 18?

6

8

9

18

The number 18 can be divided evenly by 6, 9, and 18, but not by 8. Therefore, 8 is not a factor of 18.

Explanation

The number 18 can be divided evenly by 6, 9, and 18, but not by 8. Therefore, 8 is not a factor of 18.

7) A prime number has only ____ factors.

Zero

One

Two

Three

A prime number has only two factors, which are 1 and itself. This means that a prime number cannot be divided evenly by any other number except for 1 and itself. For example, the factors of the prime number 7 are 1 and 7. Therefore, the correct answer is Two.

Explanation

A prime number has only two factors, which are 1 and itself. This means that a prime number cannot be divided evenly by any other number except for 1 and itself. For example, the factors of the prime number 7 are 1 and 7. Therefore, the correct answer is Two.

8) Which number below is the greatest common factor, or GCF, of the numbers 24 and 36?

3

6

12

5

The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers. In this case, we need to find the GCF of 24 and 36. We can find the GCF by listing the factors of each number and finding the largest number that appears in both lists. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The largest number that appears in both lists is 12, so it is the GCF of 24 and 36.

Explanation

The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers. In this case, we need to find the GCF of 24 and 36. We can find the GCF by listing the factors of each number and finding the largest number that appears in both lists. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The largest number that appears in both lists is 12, so it is the GCF of 24 and 36.

9) Which of the following correctly lists the factors of the number 28?

1,2,3,4,5

1,2,4,7,14,28

2,4,7,14

1,28

The factors of a number are the numbers that can be multiplied together to get that number. In this case, the factors of 28 are 1, 2, 4, 7, 14, and 28 because each of these numbers can be multiplied with another number to equal 28.

Explanation

The factors of a number are the numbers that can be multiplied together to get that number. In this case, the factors of 28 are 1, 2, 4, 7, 14, and 28 because each of these numbers can be multiplied with another number to equal 28.

10) How many factors does a Prime number have?

1

2

3

4

A prime number is defined as a number that is greater than 1 and can only be divided evenly by 1 and itself. Therefore, a prime number only has two factors: 1 and the number itself. This is because dividing the prime number by any other number would result in a remainder, indicating that it is not a factor. Therefore, the correct answer is 2.

Explanation

A prime number is defined as a number that is greater than 1 and can only be divided evenly by 1 and itself. Therefore, a prime number only has two factors: 1 and the number itself. This is because dividing the prime number by any other number would result in a remainder, indicating that it is not a factor. Therefore, the correct answer is 2.

11) Of the following list of numbers: 2,3,4,7,8,11,12, which are Composite numbers?

2,3,4

4,11,12

2,3,7

4,8,12

Composite numbers are numbers that have more than two distinct positive divisors (i.e., they are divisible by numbers other than 1 and themselves). In the given list:

4 (divisors: 1, 2, 4)

8 (divisors: 1, 2, 4, 8)

12 (divisors: 1, 2, 3, 4, 6, 12)

All have more than two divisors, making them composite numbers. The other numbers (2, 3, 7, 11) are prime.

Explanation

Composite numbers are numbers that have more than two distinct positive divisors (i.e., they are divisible by numbers other than 1 and themselves). In the given list:

4 (divisors: 1, 2, 4)

8 (divisors: 1, 2, 4, 8)

12 (divisors: 1, 2, 3, 4, 6, 12)

All have more than two divisors, making them composite numbers. The other numbers (2, 3, 7, 11) are prime.

12) The number 1 is _______

A Prime number

A Composite number

Both a Prime and Composite number

Neither a Prime nor Composite number

The number 1 is neither a prime nor a composite number. A prime number is a number greater than 1 that is divisible only by 1 and itself, while a composite number is a number greater than 1 that has factors other than 1 and itself. Since 1 does not meet the criteria for either definition, it is categorized as neither prime nor composite.

Explanation

The number 1 is neither a prime nor a composite number. A prime number is a number greater than 1 that is divisible only by 1 and itself, while a composite number is a number greater than 1 that has factors other than 1 and itself. Since 1 does not meet the criteria for either definition, it is categorized as neither prime nor composite.

13) Mr. Schorr has every 3rd day off in November. Mr. Lawson has every 5th day off in November. Which date is the first time Mr. Schorr and Mr. Lawson have a day off together so they can hang out?

November 9

November 20

November 15

November 30

Mr. Schorr has a day off every 3rd day in November, while Mr. Lawson has a day off every 5th day in November. To find the first time they have a day off together, we need to find the least common multiple of 3 and 5. The least common multiple of 3 and 5 is 15. Therefore, the first time they have a day off together is on November 15.

Explanation

Mr. Schorr has a day off every 3rd day in November, while Mr. Lawson has a day off every 5th day in November. To find the first time they have a day off together, we need to find the least common multiple of 3 and 5. The least common multiple of 3 and 5 is 15. Therefore, the first time they have a day off together is on November 15.

14) Which of the following lists the prime factorization of the number 28?

2,2,3

2,2,7

2,4,6

2,14

The prime factorization of a number involves breaking it down into its prime factors. In this case, the number 28 can be broken down into the prime factors 2, 2, and 7.

Explanation

The prime factorization of a number involves breaking it down into its prime factors. In this case, the number 28 can be broken down into the prime factors 2, 2, and 7.