Question

Explain why 3*5**7+7 is a composite number.​

Answer 1

Step-by-step explanation:

3×5×7+7

=105+7

=112

112 is divisible by 56,2,4,etc that's why it's composite number

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

★ To Prove :

We have to prove that $\sf{3 \times 5 \times 7 + 7}$ is a composite number.

__________________________

★ Proof :

As, it is given

$\sf{→3 \times 5 \times 7 + 7}$

Taking 7 as common.

$\sf{→7(3 \times 5 \times 1 + 1)} \\ \\ \sf{→7(15 + 1)} \\ \\ \sf{→7(16)}$

As, it has more than 2 factors (7, 16, 1).

So, it is composite Number because composite numbers have more than 2 factors.

Hence Proved