Question

Solve this ch name is real number (10th class)
question- explain why 7 ×11 ×13 + 13 and 7 × 6 ×5 × 4 × 3×2×1+5 are composite numbers.

Answer 1

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✔Composite Number : A number that has more than two factors is called a composite number . 4 is the smallest composite number .

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⭐ 7×11×13+13

Taking 13 common ,

13 ( 7 × 11 + 1 )

13 ( 19 )

Hence the number has two factors leading 1 and the number itself . Hence it is a composite number.

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⭐ 7×6×5×4×3×2×1+5

Taking 5 common

5 ( 7×6×4×3×2+1 )

5 ( 42× 24 + 1 )

5 ( 1008+1)

5 (1009)

Hence it has two factors leaving 1 and the number itself . Hence it is a composite number .
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Answer 2

In 7×11×13+13
=> 13(7×11×1+1)
=> 13×79
so, the number having 2 or morefactor is composite number.

In 7×6×5×4×3×2×1+5
=> 5(7×6×1×4×3×2×1+1)
=> 5×1008
so, the number having 2 or more factor is composite number.

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