Use the divisibility rule to check the divisibility of 23457 by 4.

The divisibility rule of 4 states that if the last two digits of the number is divisible by 4 or 00, the number will be divisible by 4.
Given number: 23457
Last two digits: 57
57/4 = 4 × 14 + 1
Remainder = 1
Therefore, the number 23457 is not divisible by 4.

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