Factors, Multiples, Prime, Composite numbers | Playing with Numbers | Assessment | English | Grade 6

What do we call the exact divisor of any number ?

• Multiple

• Factor

• Prime number

• Composite number

Answer explanation

Option 2 is correct as per definition the exact divisor of a number is called factor

The number of factors of 36 is _________

• 6

• 7

• 8

• 9

Answer explanation

Option 4 is correct as the factors of 36 are 1,2,3,4,6,9,12,18,36 hence factors of 36 are 9

Which of the following is a prime number ?

• 6

• 7

• 8

• 9

Answer explanation

A prime number is the one which has only 2 factors- 1 and the number itself. Option 2 is correct since 7 has only 2 factors. Option 1 is wrong as factors of 6 are 1,2,3,6 Option 3 is wrong as factors of 8 are 1,2,4,8 Option 4 is wrong as factors of 9 are 1,3,9

What do we call a number having more than 2 factors ?

• Multiple

• Prime number

• Composite number

• Factor

Answer explanation

Option 3 is correct as the number having factors more than 2 is called composite number

Common factors between 20 and 28 are

• 1,4,2

• 1,7,5

• 1,2,10

• 1,5,4

Answer explanation

Factors of 20 - 1,20,2,10,5,4 Factors of 28- 1,28,2,14,7,4 Option 1 is correct as common factors of 20 and 28 are 1,2,4

Which of the following is not a prime number ?

• 2

• 23

• 11

• 1

Answer explanation

Option 4 is correct as 1 is neither a prime number nor a composite number

Smita wanted to arrange 56 apples in rows and columns. Which of the following arrangement is possible: Arrangement I: 7 rows, 8 columns Arrangement II: 3 rows, 18 columns Arrangement III: 14 rows, 4 columns

• Arrangement I only

• Arrangement I, II and III

• Arrangement III only

• Arrangement I, and III only

Answer explanation

56 apples can be arranged in rows and columns if the number of rows and number of columns are factors of 56 and when multiplied, gives product 56. Since, 7 x 8 = 56 hence first arrangement is possible, 3 x 18 = 54. but 56 - 54 = 2 i.e. after arranging apples in 3 rows and 18 columns 2 apples remain unarranged. Hence, 56 apples can not be arranged completely in 3 rows and 18 columns 14 x 4 = 56, hence, this is also a possible arrangement. Hence option 4 is the right answer.