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

Question

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

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Solution

To determine if 3 × 5 × 7 + 7 is a composite number, we need to break down the expression and analyze its factors.

Step 1: Calculate 3 × 5 × 7 3 × 5 × 7 = 105

Step 2: Add 7 to the result 105 + 7 = 112

Step 3: Analyze the factors of 112 To determine if 112 is a composite number, we need to check if it has factors other than 1 and itself.

The factors of 112 are: 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112.

Since 112 has factors other than 1 and itself, it is a composite number.

Therefore, 3 × 5 × 7 + 7 (which is equal to 112) is a composite number.

This problem has been solved

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