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प्रश्न
Show that the number 5 × 11 × 17 + 3 × 11 is a composite number.
बेरीज
उत्तर
The numbers are prime numbers and composite numbers.
Prime numbers can be divided by 1 and itself. A composite number has factors other than 1 and itself.
(5 × 11 × 17) + (3 × 11)
= (85 × 11) + (3 × 11)
= 11 × (85 + 3)
= 11 × 88
= 11 × 11 × 8
= 2 × 2 × 2 × 11 × 11
The given expression has 2 and 11 as its factors. Therefore, it is a composite number.
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