43. The greatest six digit number which is exactly divisible by 4238 is
tennetiraj please help for this ans
Answers
Step-by-step explanation:
Given :-
The greatest six digit number
To find :-
Find the greatest six digit number which is exactly divisible by 4238 ?
Solution :-
We know that
The greatest six digit number = 9,99,999
The divisor = 4238
To get the required number
We have to divide 9,99,999 by 4238
4238)999999(235
8476
_______
15239
12714
_________
2525 9
21 1 9 0
__________
40 6 9
____________
So we have to Subtract 4069 from 999999 to get the number =
999999-4069 = 995930
or
The greatest six digit number = 9,99,999
The divisor = 4238
We use Euclids Division Lemma
Write it as a= bq+r
Where a = 999999 b = 4238
999999 = 4238×235 + 4069
So the required number is exactly divisible by 4238
It must be a multiple of 4238
So the remainder must be 0
So here remainder = 4069
So we can write it
4238×235 = 999999-4069
4238×235 = 995930
So required number = 995930
Answer:-
The six digit greatest number which is exactly divisible by 4238 is 995930
Used formulae:-
Euclids Division Lemma:-
For any two positive integers a and b there exist two positive integers q and r satisfying a = bq+r , 0≤r<b.