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Composite Numbers

Is 7 × 5 × 3 ...

Question

Is (7 × 5 × 3 × 2 + 3) a composite number? Justify your answer.

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Solution

We have:
(7 × 5 × 3 × 2 + 3) = 210 + 3 = 213
2 + 1 + 3 = 6
So, 213 is divisible by 3. (If the sum of digits of a number is divisible by 3, then the number is divisible by 3)
Hence, (7 × 5 × 3 × 2 + 3) is a composite number.

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