Express each of the following numbers as a product of its prime factors:

(a) 7560
(b) 5005

Given :

The given numbers are 7560 and 5005.

To do :

We have to express the given numbers as a product of its prime factors.

Solution :

 a) 7560

         2  |  7560

        __|________

         2  |  3780

        __|________

         2  |  1890

        __|________

         3  |  945

        __|________

         3  |  315

        __|________

         3  |  105

        __|________

          5 |  35

        __|________

                 7

$7560 = 2 \times 2 \times 2 \times 3 \times 3 \times 3\times 5 \times 7$

            $= 2^3 \times 3^3 \times 5 \times 7$

Therefore, 7560 as a product of it's prime factors is  $2^3 \times 3^3 \times 5 \times 7$.

b)  5005 

        5   |   5005

        __|________

         7  |  1001

        __|________

      11  |  143

        __|________

             |  13

$5005 = 5 \times 7 \times 11 \times 13$

Therefore, 5005 as a product of it's prime factors is $5 \times 7 \times 11 \times 13$

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Updated on: 10-Oct-2022

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