If 8 digit number 136x5785 is divisible by 15 find the least possible value of x
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15 = 3 × 5 (prime factorization). For the number to be divisible by 15, it must be divisible by 3 and 5.
To be divisible by 3, sum of the numbers must be divisible by 3 (divisibility rule of 3)
To be divisible by 5, last digit must be 0 or 5 (divisibility rule of 5)
Therefore, 136x5785 is divisible by 5 regardless of the values of x
For 136x5785 to be divisible by 3, 1+3+6+x+5+7+8+5 must be divisible by 3
=> 35 + x must be divisible by 3
x=1 satisfies this condition
least value of x= 1
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Answer:
the answer is 1
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