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In math, y is divisible by x if the division y/x produces no remainder. All whole numbers from 1 to 99, if divided by 100, would produce a remainder. That pattern repeats from 101 to 199 and similarly with all whole numbers of the form ...x01 to ...x99. Therefore: That only leaves whole numbers in the form ...x00, all of which are divisible by 100.

So, to state it more simply, the set of all whole numbers divisible by 100 is characterized by endings of 00, such as 100, 200, 3100, and 18100. Any whole number ending in 00 is divisible by 100.

The only tricky part is determining if zero and negative integers are included, which depends on the definition given for whole numbers. Sometimes zero is included in the definition, sometimes not. Sometimes negative integers are included, sometimes not. If they are included, the same reasoning as above would apply. Note that zero could be written 00.

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Q: What are all the whole numbers divisible by 100?
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