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              \\October 8, 2025 12:13 PM   Bharat Arora   P-9           Reader _________________________   Date: ___________________74






                       Practice time 3d


                1.  State whether the following statements are 'true' or 'False'.
                    (  a)  A prime number has more than 2 factors.

                    (  b)  1 is a composite number.

                    (  c)  2 is the only even prime number.
                    (  d)  97 is the greatest 2-digit prime number.

                    (  e)  1 is the smallest prime number.

                    (  f)  47 is a composite number.
                2.  Fill in the blanks.

                    (  a)  ______________ is the only prime number between 90 and 100.

                    (  b)  ______________ is the smallest and only even prime number.

                    (  c)  There are ______________ prime numbers between 1 and 100.

                    (  d)  The prime factors of 32 are ______________.

                    (  e)  _____________ is the smallest odd composite number.
                3.  Find the prime factors of the following numbers using the factor tree method.

                    (  a)  18               (b)  28                  (c)  32                  (d)  40

                    (  e)  64                (f)  90                 (g)  78                  (h)  120

                4.  Find  the  prime  factors  of  the  following  numbers  using  the  division method.  draw
                    the factor tree for each.
                    (  a)  27               (b)  48                  (c)  54                  (d)  63

                    (  e)  78                (f)  91                 (g)  65                  (h)  96

                     (  i)  8                (j)  112                (k)  125                 (l)  144

              HigHest common factor (Hcf)                                         Think Tank                   Logical Thinking


              Let us consider any two numbers, say 12 and 18.                   I am the biggest factor that
                                                                                two or more numbers share.
              List all the factors of 12 and 18.                                To find me, you list all the
                                                                                factors and compare.
              Factors of 12 are 1, 2, 3, 4, 6 and 12.                           I help you split things into the

              Factors of 18 are 1, 2, 3, 6, 9 and 18.                           largest possible equal groups.
              Common factors of 12 and 18 are 1, 2, 3 and 6.                    Who am I?

              The highest common factor (HCF) of 12 and 18 is 6.                                   FACTS
              Thus, the highest common factor (HCF) of two or more numbers                 A common factor is a
                                                                                           number which is a factor
              is the greatest number that divides each given number exactly.               of two or more numbers.


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