PRIME NUMBERS WORKSHEET

Express Product of Prime Numbers in Index Form

Write each number in index form :

Problem 1 :

2 × 2 × 3 × 3 x 3

Solution

Problem 2 :

2 × 5 × 5

Solution

Problem 3 :

2 × 3 × 3 × 3 × 5

Solution

Problem 4 :

5 × 5 × 7 × 7

Solution

Problem 5 :

2 × 2 × 5 × 5 × 5 × 7

Solution

Problem 6 :

3 × 3 × 7 × 7 × 11 × 11

Solution

Problem 7 :

2 × 2 × 2 × 3 × 3 × 3 × 3

Solution

Problem 8 :

5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7

Solution

Write the following in exponent form :

Problem 1 :

25

Solution

Problem 2 :

36

Solution

Problem 3 :

125

Solution

Problem 4 :

343

Solution

Write the following in exponent form with 3 as a base :

Problem 1 :

3

Solution

Problem 2 :

27

Solution

Problem 3 :

81

Solution

Problem 4 :

729

Solution

Problem 5 :

Evaluate the expression. 

a) 3² + 4²

b) 8² + 15²

c) 13² − 5²

Solution

Problem 6 :

Write each product using exponents.

a) (−7) ⋅ (−7) ⋅ (−7)

b) π ⋅ π ⋅ r ⋅ r ⋅ r

Solution

Problem 7 :

Write the product using exponents.

a)  1/4 ⋅ 1/4 ⋅ 1/4 ⋅ 1/4 ⋅ 1/4

b)  0.3 ⋅ 0.3 ⋅ 0.3 ⋅ 0.3 ⋅ x ⋅ x

Solution

Problem 8 :

Evaluate the expression.

a)  5 + 3 ⋅ 2³

b)  2 + 7 ⋅ (-3)²

c)  (13² - 12²) ÷ 5

d) (1/2) (4³ - 6⋅ 3²)

Solution

Tell whether the number is prime or composite.

Problem 1 :

7

Solution

Problem 2 :

16

Solution

Problem 3 :

21

Solution

Problem 4 :

19

Solution

Problem 5 :

121

Solution

Problem 6 :

51

Solution

Problem 7 :

84

Solution

Problem 8 :

141

Solution

Problem 9 :

The twin prime numbers out of the following are :

a)  2, 4    b) 3, 5    c)  7, 11    d) 13, 17

Solution

Problem 10 :

In the following which pair of numbers is co-primes ?

a)  (2, 4)   b)  (2, 3)    c) (3, 9)   d)  (4, 16)

Solution

Problem 11 :

The sum of the prime numbers between 90 and 100 is

a)  188     b)  281   c)  376     d)  97

Solution

Problem 12 :

A prime number

a) has exactly one factor        b)  has exactly two factors 

c)  is not divisible by 2     d)  is an odd number

Solution

Problem 13 :

The least prime number is 

a)  1     b)  0     c)  2    d)  3

Solution

Problem 14 :

A prime number is 

a) an even number     b)  an odd number    c) a composite number

d)  none

Solution

Problem 15 :

The smallest number of 4 digits exactly divisible by 12, 15, 20 and 35 is

a)  1000    b)  1160    c)  1260    d) none

Solution

Problem 16 :

Successor of every even number is 

a)  even     b) prime    c)  odd    d)  none

Solution

Problem 17 :

Prime factors of 140 are 

a)  2 x 2 x 7      b)  2 x 2 x 5    c)  2 x 2 x 5 x 7     d)  2 x 2 x 5 x 7 x 3

Solution