MathsPlaying with NumbersDivisibilityDivisibility Rules for 11

Divisibility Rules for 11

Table of Contents

  • Divisibility by 11
  • Summary
  • What’s Next?

In the previous segment, we looked at divisibility by 3, 6, and 9. In this segment, we will learn about divisibility by 11.

    Register to Get Free Mock Test and Study Material



    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Divisibility by 11

    A number is divisible by 11 if the sum of the digits in the odd-numbered places, starting from the units place, minus the sum of the digits in the even-numbered places, is divisible by 11.

    For example,

    (i) 168179

    Step 1: Find the sum of digits in odd places, starting from the units place.

    The digits in the odd places are underlined: 168179 Their sum is, 9 + 1 + 6 = 16.

    Step 2: Find the sum of digits in the even-numbered places.

    The digits in the even places are underlined: 168179

    Their sum is, 7 + 8 + 1 = 16.

    Step 3: Find the difference between the results of step 1 and step 2.

    The difference between the two sums is 16 – 16 = 0.

    Since 0 is divisible by 11, the given number 168179 is also divisible by 11.

    (ii) 14608

    Step 1: Find the sum of digits in odd places, starting from the units place.

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material



      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.