Math, asked by soniteerath80, 9 months ago

Prove that 13 * 17 * 19 * 23 + 13 *23 is a composite

Answers

Answered by Mihir1001

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$Answer:$

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$Step-by-step-explaination:$

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We have,

$13 \times 17 \times 19 \times 23 + 13 \times 23$

$= (13)(23) \times (17) \times (19) + (13)(23)$

$= (13)(23)((17)(19) + 1)$

$= (13)(23)(323 + 1)$

$= (13)(23)(324)$

Here, the given number is a product of more than three whole numbers, other than 1 and the number itself.

By fundamental theorum of arithmetic, this factorisation is unique.

Hence, the given number is a composite number.

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