Explain why the given numbers are composite numbers.
(i) \(7 \times 11 \times 10 + 10\)
Solution:
Given \(7 \times 11 \times 10 + 10\)
\(=\)\(( \)\(+1)\)
\(=\) \(\times\)
Here, factors of second term are , , , , , ,
So it has more than factors.
Therefore, \(7 \times 11 \times 10 + 10\) is a composite number.
(ii) \(7 \times 6 \times 11 \times 4 \times 3 \times 2 \times 1 + 11\)
\(=\)\((7 \times 6 \times 4 \times 3 \times 2+1)\)
\(=\)\((\)\(+1)\)
\(=\)\(\times \)
Here, the factors of given number are , ,
So, it has more than factors.
Thus, the given number is a composite number.
Answer variants:
\(26\)
\(1009\)
\(2\)
\(3\)
11
\(13\)
\(78\)
\(39\)
\(1\)
[NOTE: Give the factors in ascending order]