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. Explain why 15 × 7+7 is a composite number?

Question

. Explain why 15 × 7+7 is a composite number?

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Solution

Sure, let's break this down:

  1. First, we need to solve the equation. The multiplication operation comes first according to the order of operations (BIDMAS/BODMAS/PEDMAS). So, we multiply 15 by 7, which gives us 105.

  2. Then, we add 7 to 105, which gives us 112.

  3. Now, we need to determine whether 112 is a composite number. A composite number is a positive integer that has at least one positive divisor other than one or itself. In other words, a composite number is any positive integer greater than one that is not a prime number.

  4. The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112. As you can see, 112 has more divisors than just 1 and itself.

  5. Therefore, 112 is a composite number.

So, 15 × 7 + 7 results in a composite number because 112, the result of the equation, has more than two distinct positive divisors.

This problem has been solved

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