Question 7Explain why 3- 5- 7-7 is a composite number-

We have, a=3× 5× 7+7 = 7(3× 5+1) =7× 16 = 2^4 × 7 We know that nbsp;the only factor of a prime number apart from 1 is the number itself. Since this number ...

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Standard X

Mathematics

Prime and Composite Numbers

Question 7Exp...

Question

Question 7
Explain why $3 \times 5 \times 7 + 7$ is a composite number.

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Solution

We have,
$a = 3 \times 5 \times 7 + 7 = 7 (3 \times 5 + 1) = 7 \times 16 = 2^{4} \times 7$

We know that the only factor of a prime number apart from 1 is the number itself. Since this number has multiple prime factors, the number is composite.

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Question 7 Explain why 3×5×7+7 is a composite number.

We have, a=3×5×7+7=7(3×5+1)=7×16=24×7 We know that the only factor of a prime number apart from 1 is the number itself. Since this number has multiple prime factors, the number is composite.

Question 7
Explain why $3 \times 5 \times 7 + 7$ is a composite number.

We have,
$a = 3 \times 5 \times 7 + 7 = 7 (3 \times 5 + 1) = 7 \times 16 = 2^{4} \times 7$

We know that the only factor of a prime number apart from 1 is the number itself. Since this number has multiple prime factors, the number is composite.