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How many two-digit numbers are divisible by 2?

Published in Mathematics 1 min read

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

Here's how to determine that:

  • Identify the Range: Two-digit numbers range from 10 to 99.

  • First Divisible Number: The first two-digit number divisible by 2 is 10.

  • Last Divisible Number: The last two-digit number divisible by 2 is 98.

  • Arithmetic Sequence: The numbers divisible by 2 form an arithmetic sequence: 10, 12, 14, ..., 98.

  • Formula: To find the number of terms in this sequence, we can use the formula:

    Number of terms = (Last term - First term) / Common difference + 1

    Number of terms = (98 - 10) / 2 + 1

    Number of terms = 88 / 2 + 1

    Number of terms = 44 + 1

    Number of terms = 45

Therefore, there are 45 two-digit numbers that are divisible by 2.

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