Question:

Show that 11×19×23+3×1111 \times 19 \times 23 + 3 \times 11 is not a prime number.

Updated On: Dec 12, 2024
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Solution and Explanation

Factor out the common term 1111 from the expression:

11×19×23+3×11=11(19×23+3) 11 \times 19 \times 23 + 3 \times 11 = 11(19 \times 23 + 3)

Now simplify the expression inside the parentheses:

19×23=437 19 \times 23 = 437

437+3=440 437 + 3 = 440

Thus, the expression becomes:

11×440=4840 11 \times 440 = 4840

Since 48404840 is divisible by 1111, it is not a prime number.

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