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How Many Two-Digit Numbers Are Divisible by 2?

Published in Number Theory 1 min read

There are exactly 45 two-digit numbers that are divisible by 2.

Here's a step-by-step explanation based on the provided reference:

  • Total Two-Digit Numbers: There are 90 two-digit numbers in total (from 10 to 99).
  • Divisibility by 2: Every other number is divisible by 2 (i.e., even).
  • Calculation: Since there are an even number of total two-digit numbers, precisely half of them are divisible by 2. Thus, 90 / 2 = 45.

Therefore, 45 two-digit numbers are divisible by 2. This conclusion aligns perfectly with the information derived from the reference, which stated, "number of two digit numbers divisible by 2 = total/2 = 90/2 =45."

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