Simplifying Fractions - Simplifying Fractions I Writing a...

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Simplifying Fractions I. Writing a Number as a Product of Primes We call a whole number greater than one prime if it cannot be divided evenly except by itself and one. For example the number 7 is prime but the number 6 is not, because 6 = 2 x 3 A number that is not prime is called composite . The first primes are 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53 These are all prime One of the most common uses of primes is to write a number as a product of primes. Example Write the number 140 as a product of prime numbers. Solution We write 140 = 10 x 14 = (2 x 5) x (2 x 7) = 2 x 2 x 5 x 7 We can also use a factor tree to write a number as a product of primes Example Write the number 882 as a product of primes using a factor tree. So that 196 = 2 x 2 x 7 x 7 Exercise Write each number as a product of prime numbers A. 48 Hold mouse over the yellow rectangle for the solution B. 882
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Hold mouse over the yellow rectangle for the solution Remark: As we have seen from the following examples the task of writing a number as a product of primes is always possible. In fact, the result will always be the same. This remark is so
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