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?
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.
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