Balbharti Maharashtra Board Class 5 Maths Solutions Chapter 8 Multiples and Factors Problem Set 33 Textbook Exercise Important Questions and Answers.

## Maharashtra State Board Class 5 Maths Solutions Chapter 8 Multiples and Factors Problem Set 33

Question 1.

(1) Write five three-digit numbers that are multiples of 2.

Answer:

100, 102, 104, 106, 108.

(2) Write five three-digit numbers that are multiples of 5.

Answer:

100, 105, 110, 115, 120.

(3) Write five three-digit numbers that are multiples of 10.

Answer:

100, 110, 120, 130, 140.

Question 2.

Write 5 numbers that are multiples of 2 as well as of 3.

Answer:

2 as well as of 3 means 2 and 3 that is multiples of 6.

They are 6, 12, 18, 24, 30.

Question 3.

A ribbon is 3 metres long. Can we cut it into 50 cm pieces and have nothing left over? Write the reason why or why not.

Answer:

3 metres = 300 cm.

We can cut it into 50 cm pieces.

Since 300 is exactly divisible 50.

That is 300 is multiples of 50.

300 ÷ 50 = 6

We will get 6 pieces, nothing is left over.

Question 4.

A ribbon is 3 metres long. I need 8 pieces of ribbon each 40 cm long. How many centimetres shorter is the ribbon than the length I need?

Answer:

1 piece of 40 cm, so for 8 pieces ribbon needed is 40 x 8 = 320 cm.

But ribbon is 3 metre = 300 cm long.

So ribbon is shorter by 320 – 300 = 20 cm.

Question 5.

If the number given in the table is divisible by the given divisor, put ✓ in the box. If it is not divisible by the divisor, put ✗ in the box.

Answer:

Prime and composite numbers

Some numbers are given in the tables below. Write all of their factors.

Dada : What do you notice on studying the table?

Ajay : The number 1 is a factor of every number. Some numbers have only 1 and the number itself as factors. For example, the only factors of 3 are 1 and 3. Similarly, the factors of 2 are only 1 and 2 and the factors of 19 are only 1 and 19. Some numbers have more than two factors.

Dada : Numbers like 2, 3, 19 which have only two factors are called prime numbers.

A number which has only two factors, 1 and the number itself, is called a prime number.

Ajay : What do we call numbers like 4, 6 and 16 which have more than two factors?

Dada : Numbers like 4, 6 and 16 are called composite numbers.

A number which has more than two factors is called a composite number.

Dada : Think carefully and tell me whether 1 is a prime or composite number.

Ajay : The number 1 has only one factor, 1 itself, so I can’t answer your question.

Dada : You’re right. 1 is considered neither a prime number nor a composite number.

1 is a number which is neither prime nor composite.

**Multiples and Factors Problem Set 33 Additional Important Questions and Answers**

Question 1.

Write five three-digit numbers that are multiples of 3.

Answer:

102, 105, 108, 111, 114.

Question 2.

Write five two-digit numbers that are multiples of 7.

Answer:

14, 21, 28, 35, 42

Question 3.

Write five three-digit numbers that are multiples of 4.

Answer:

112, 116, 120, 124, 128.

Question 4.

Write 5 numbers that are multiples of 3 as well as 5.

Answer:

3 as well as 5 means 3 and 5. i.e. multiples of 15.

They are 15, 30, 45, 60, 75.

Question 5.

A string is 4 metres long. Can we cut it into 50 cm pieces and have nothing left over?

Answer:

4 metres = 400 cm.

We can cut it into 50 cm pieces.

Since 400 is exactly divisible by 50.

That is 400 is multiple of 50 400 + 50 = 8

We will get 8 pieces. Nothing is left over.

Question 6.

A paper Is 2 metres long. I need 8 pieces of paper each 30 cm long. How many centimetres shorter is the paper than the length I need?

Answer:

A piece of 30 cm, so for 8 pieces paper needed is 30 x 8 = 240 cm.

But paper is 2 metre = 2 x 100 = 200 cm long.

So paper is shorter by 240 – 200 = 40 cm

Question 7.

If the number given in the table is divisible by the given divisor, put P in the box. If it is not divisible by the divisor, put in the box.

Answer: