without actual division show that 11 is a factor of 110011
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4
Answer:
1,111 is divisible by 11 because the difference of the sums is zero. ∴ 11,011 is divisible by 11 because the difference of the sums is zero.
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Step-by-step explanation:
Divisibilty of 11 states that,if sum of digits on odd places
(1,3,5,,,) - sum of digits on even place (2,4,6,,,) is divisible by 11 or zero then it is divisible by 11
Ex : 110011 __
sum of odd places = 1+0+1 = 2
sum of even places = 1+0+1 = 2
So on subtracting them 2 - 2 = 0
So we observe that ans is zero so...we get that 11 is factor of 110011...
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