what least no should be added to 37685 to get a no exactly divisible by 13
Answers
Given data:
Division of 37685 with 13.
To find:
The least number to be added to the given number 37685 to make it exactly divisible by 13.
Solution:
13 | 3 7 6 8 5 | 2898
2 6
________
1 1 6
1 0 4
_________
1 2 8
1 1 7
________
1 1 5
1 0 4
________
1 1
________
As 11 is the remainder, the least number that should be added to the number 37685 is 13-11 = 2, such that it becomes the exact multiple of 13.
2 is the least number that should be added to the given number 37685 to make it exactly divisible by 13.
Check:
37685+2 = 37687
37687 on dividing with 11 gets exactly divisible by 2899 times, leaving 0 as a remainder.
Learn more:
1. Find the smallest number which on adding 13 to it is exactly divisible by 42,70
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