49235714 is divisible by 11 or not??
Answers
Answer:
Yes
Step-by-step explanation:
4 + 2 + 5 + 1 = 12
9 + 3 + 7 + 4 = 23
= 12 - 23
= -11 (Divisible by 11)
49235714 is divisible by 11.
Given:
- A number.
- 49235714
To find:
- Find the divisibility of number by 11.
Solution:
Concept to be used:
Divisibility of 11:
Sum of odd places of digits-Sum of even places of digits=0 or 11k, where k is some integer
Step 1:
Write the digits separately.
Digits at odd places:9,3,7,4
Digits at even places: 4,2,5,1
Step 2:
Find the sum of odd and even places.
Sum of digits at odd places: 9+3+7+4=23
Sum of digits at even places: 4+2+5+1=12
Step 3:
Find the difference.
Subtract the difference of sum of digits of even and odd places: 23-12 = 11
As, 11 is multiple of 11.
Thus,
49235714 is divisible by 11.
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Learn more:
1) an odd three digit number is divisible by 5 and 11 and sum of its digits is 16.find the number.
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2) find the number of factors of 172800 which are divisible by 12 but not by either 36 or 25
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