### Playing with Numbers-Solutions Ex. 3.1

**CBSE Class –VI Mathematics**

**NCERT Solutions**

**Chapter 3 Playing With Numbers (Ex. 3.1)**

Question 1. Write all the factors of the following numbers:

(a) 24, (b) 15, (c) 21, (d) 27, (e) 12, (f) 20 , (g) 18, (h) 23, (i) 36

(a) 24, (b) 15, (c) 21, (d) 27, (e) 12, (f) 20 , (g) 18, (h) 23, (i) 36

Answer: (a) 24 = 1 x 24 = 2 x 12 = 3 x 8 = 4 x 6 = 6 x 4

Factors of 24 = 1, 2, 3, 4, 6, 12, 24

Factors of 24 = 1, 2, 3, 4, 6, 12, 24

(b) 15 = 1 x 15 = 3 x 5 = 5 x 3

Factors of 15 = 1, 3, 5, 15

Factors of 15 = 1, 3, 5, 15

(c) 21 = 1 x 21 = 3 x 7 = 7 x 3

Factors of 21 = 1, 3, 7, 21

Factors of 21 = 1, 3, 7, 21

(d) 27 = 1 x 27 = 3 x 9 = 9 x 3

Factors of 27 = 1, 3, 9, 27

Factors of 27 = 1, 3, 9, 27

(e) 12 = 1 x 12 = 2 x 6 = 3 x 4 = 4 x 3

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 12 = 1, 2, 3, 4, 6, 12

(f) 20 = 1 x 20 = 2 x 10 = 4 x 5 = 5 x 4

Factors of 20 = 1, 2, 4, 5, 10, 20

Factors of 20 = 1, 2, 4, 5, 10, 20

(g) 18 = 1 x 18 = 2 x 9 = 3 x 6

Factors of 18 = 1, 2, 3, 6, 9, 18

Factors of 18 = 1, 2, 3, 6, 9, 18

(h) 23 = 1 x 23

Factors of 23 = 1, 23

Factors of 23 = 1, 23

(i) 36 = 1 x 36 = 2 x 18 = 3 x 12 = 4 x 9 = 6 x 6

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Question 2. Write first five multiples of:

(a) 5, (b) 8, (c) 9

Answer: (a) 5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

First five multiples of 5 are 5, 10, 15, 20, 25.

(b) 8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

8 x 5 = 40

First five multiples of 8 are 8, 16, 24, 32, 40.

(c) 9 x 1 = 9

9 x 2 = 18

9 x 3 = ,27

9 x 4 = 36

9 x 5 = 45

First five multiples of 9 are 9, 18, 27, 36, 45.

(a) 5, (b) 8, (c) 9

Answer: (a) 5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

First five multiples of 5 are 5, 10, 15, 20, 25.

(b) 8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

8 x 5 = 40

First five multiples of 8 are 8, 16, 24, 32, 40.

(c) 9 x 1 = 9

9 x 2 = 18

9 x 3 = ,27

9 x 4 = 36

9 x 5 = 45

First five multiples of 9 are 9, 18, 27, 36, 45.

Question 3. Match the items in column 1 with the items in column 2:

Column 1 | Column 2 |

(i) 35 | (a) Multiple of 8 |

(ii) 15 | (b) Multiple of 7 |

(iii) 16 | (c) Multiple of 70 |

(iv) 420 | (d) Factor of 30 |

(v) 10 | (e) Factor of 50 |

Answer: (i) (b), (ii) (d), (iii) (a), (iv) (c), (v) (e)

Question 4. Find all the multiples of 9 up to 100.

Answer: Multiples of 9 up to 100 are:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99

Answer: Multiples of 9 up to 100 are:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99