# Maharashtra Board Class 5 Math Chapter 8 Multiples and Factors Solution

## Maharashtra Board Class 5 Math Solution Chapter 8 – Multiples and Factors

Balbharati Maharashtra Board Class 5 Math Solution Chapter 8: Multiples and Factors. Marathi or English Medium Students of Class 5 get here Multiples and Factors full Exercise Solution.

 Std Maharashtra Class 5 Subject Math Solution Chapter Multiples and Factors

### PROBLEM SET 32

Write the factors of the following numbers.

(1) factors of 8 are – 1,2,4,8

(2) factors of 5 are – 1,5

(3) factors of 14 are – 1,2,7,14

(4) factors of 10 are – 1,2,5,10

(5) factors of 7 are – 1,7

(6) factors of 22 are – 1,2,11,22

(7) factors of 25 are – 1,5,25

(8) factors of 32 are – 1,2,4,8,16,32

(9) factors of 33 are – 1,3,11,33

### PROBLEM SET 33

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

If there is 0, 2, 4, 6 or 8 in the units place, the number is a multiple of 2, or is exactly divisible by 2.

So, the five three-digit numbers that are multiples of  2 are – 100, 122, 154, 186, 208

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

Any number with 5 or 0 in the units place is a multiple of  5 or, is divisible by 5.

So, the five three-digit numbers that are multiples of  5 are – 100, 125, 150, 205, 250

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

Any number that has 0 in the units place is a multiple of 10.

So, the five three-digit numbers that are multiples of 10 are – 100, 200, 250, 360, 430

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

6, 12, 18, 66, 24 are multiples of 2 as well as of 3.

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.

The ribbon is 3 meters long.

1 meter = 100 cm

So, 3 meter = 3 × 100 = 300 cm

We know any number with 5 or 0 in the units place is a multiple of  5 or, is divisible by 5.

As 300 cm also has a 0 in the unit place it is divisible by 5.

So we can cut it and have nothing left over.

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 ?

The ribbon is 3 meters long.

1 meter = 100 cm

So, 3 meter = 3 × 100 = 300 cm

we need 8 pieces of ribbon 40 cm each, so total length we need = 8 × 40cm = 320 cm

subtracting the ribbon length we have from the the ribbon length we need = ( 320 – 300 ) = 20 cm

answer = the ribbon is 20 cm shorter than the length we need.

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.

 Divisor Number 2 5 10 15 × ✓ × 30 ✓ ✓ 34 ✓ × × 46 ✓ × × 55 × ✓ × 63 × × × 70 ✓ ✓ ✓ 84 ✓ × ×

### PROBLEM SET 33

1. ) Write all the prime numbers between 1 and 20.

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

So the prime numbers between 1 and 20 are – 2, 3, 5, 7, 11, 13, 17, 19

2.) Write all the composite numbers between 21 and 50.

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

So, the composite numbers between 21 and 50 are – 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 50

3.) Circle the prime numbers in the list given below.

1, 37, 43, 53, 91, 57, 59, 79, 97

4.) Which of the prime numbers are even numbers ?

The only even prime number is 2.

### PROBLEM SET 35

Determine whether the pairs of numbers given below are co-prime numbers.

(1) 22,24

Factors of  22 – 1,2,11,22

Factors of  24 – 1,2,3,4,6,8,12,24

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1,2 as common factors, so they are not co-prime numbers.

(2) 14,21

Factors of  14 – 1,2,7,14

Factors of  21 – 1,3,7,21

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1,7 as common factors, so they are not co-prime numbers.

(3) 10,33

Factors of  10 – 1, 2, 5, 10

Factors of  33 – 1, 3, 11, 33

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1 as common factor, so they are co-prime numbers.

(4) 11,30

Factors of  11 – 1, 11

Factors of  30 – 1, 2, 5, 10, 15, 30

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1 as common factor , so they are co-prime numbers.

(5) 5,7

Factors of  5 – 1, 5

Factors of  7 – 1, 7

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1 as common factor, so they are co-prime numbers.

(6) 15,16

Factors of  15 – 1, 3, 5, 15

Factors of  16 – 1,2,4,8,16

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1 as common factor, so they are co-prime numbers.

(7) 50,52

Factors of  50 – 1, 2, 5, 10, 25, 50

Factors of  52 – 1, 2, 4, 13, 26, 52

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1,2 as common factors, so they are not co-prime numbers.

(8) 17,18

Factors of  17 – 1, 17

Factors of  18 – 1, 2, 3, 6, 9, 18

Numbers which have only 1 as a common factor are called co-prime numbers,

So, we can see they have 1 as common factor, so they are co-prime numbers.

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Updated: January 7, 2022 — 4:39 pm