Question

explain why 3 in to 5 in to 7 plus 7 in to 11 is a composite number
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Answer 1

Answer:

Every positive integer is composite, prime, or the unit 1, so the composite numbers are exactly the numbers that are not prime and not a unit. For example, the integer 14 is a composite number because it is the product of the two smaller integers 2 × 7.

3*5*7+7=112

Therefore it is a composite number.

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Answer 2

Answer

3*5*7+7*11

taking 7 as a common factor we get

=7(3*5+11)

=7(15+11)

=7*26

= 182

by prime factorisation of 182, we get

2*7*13

we know that if a number is composite then it means it has other factor than 1 .

hence proved that 3*5*7+7*11 is composite number.

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