Show that the number 5× 11× 17+3× 11 is a composite number.

CBSE Class 10 Maths PYQ · Real Numbers · Prime number · 2 Marks · March 2024 · Standard

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612 Marks · March 2024 · Standard
Show that the number $5\times 11\times 17+3\times 11$ is a composite number.
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Sol. $5 \times 11 \times 17 + 3 \times 11 = 11 \times (5 \times 17 + 3)$
$= 11\times 88$ or $11 \times 11 \times 2^3$
It means the number can be expressed as a product of two factors other than $1$, therefore the given number is a composite number.
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