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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_05\Chap_05
                 \ 09-Nov-2025  Bharat Arora   Proof-8                                     Reader’s Sign _______________________ Date __________

                example 3. Check if 8 is a factor of:

                             a.  24                                       b.  36
                Solution. A factor of a number is a perfect divisor. That means, it divides the given
                number without leaving any remainder. By long division, let us check if the remainder
                is zero.

                                         3                                             4
                             a.   8    2 4                                b.     8   3 6
                                    – 2 4                                          – 3 2

                                        0     Remainder                                4    Remainder

                                 Since the remainder is 0,                     Since the remainder is not 0,
                                 8 is a factor of 24.                          8 is not a factor of 36.

                            Exercise 5C

                    1.  Colour the factors of the central number.

                        a.         9       10          b.          9      10           c.         9       10
                                        1                              1                               1
                             16   8         2    11          16   8         2   11          16   8         2    11
                                 7     30     3                 7      20     3                 7     32     3

                              15   6        4    12          15   6         4   12           15   6        4    12
                                       5                               5                              5
                                   14      13                      14      13                     14      13

                    2.  Colour 24 cells so that they form a rectangle. Find the multiplication fact for each.
                        Then, list the factors of 24 using these multiplication facts. One has been done for you.

                              (4 × 6)

                    3.  list all the factors of:

                        a.  45             b.  56               c.  72             d.  39               e.  13

                       86        Mathematics 4

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