MathsPlaying with NumbersDivisibilityDivisibility Rules for 2, 4, and 8

Divisibility Rules for 2, 4, and 8

Table of Contents

  • Divisibility Rules
  • Divisibility by 0
  • Divisibility by 2
  • Divisibility by 4
  • Divisibility by 8
  • Divisibility Rules for Exponents of 2
  • Summary
  • What’s Next?

In the previous segment, we learned about Prime and Composite numbers. In this segment, we will learn about the rules for divisibility by 2, 4, and 8.

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    Divisibility rules

    To find if a number is divisible by another number, the number has to be divided by the other. If the remainder is 0, then it is divisible and if the remainder is non-zero then it is not divisible.

    But doing long division is a tedious task.

    For example,

    to find out if 10,585 is divisible by 8, we will have to divide 10,585 by 8 which would be time-consuming.

    Divisibility rules of certain numbers help in easily understanding whether a number is divisible by another number or not.

    Divisibility by 0

    • Any number multiplied by zero results in a zero.
    • Thus, zero divided by any number will result in a zero.
    • This means the number zero is divisible by any number.

    Divisibility by 2

    A number is divisible by 2 if the last digit, that is the digit in the units place of that number, is divisible by 2.

    For example,

    • 982,356 is divisible by 2 because its last digit 6 is divisible by 2.
    • 10,987,659 is not divisible by 2 because its last digit 9 is not divisible by 2.
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