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If each of the three nonzero numbers a, b and c is divisible by 2, then abc must be divisible by which one of the following the numbers?

Question

If each of the three nonzero numbers a, b and c is divisible by 2, then abc must be divisible by which one of the following the numbers?

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Solution

The question is asking for the number by which the product of three numbers a, b, and c (all divisible by 2) must be divisible.

Step 1: Since each of the numbers a, b, and c is divisible by 2, we can say that each of them is a multiple of 2.

Step 2: When you multiply any number by 2, the product is always divisible by 2.

Step 3: Therefore, if we multiply three numbers that are each divisible by 2 (or each a multiple of 2), the resulting product will be divisible by 222 = 8.

So, the product of a, b, and c must be divisible by 8.

This problem has been solved

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