Question

Find theremainder when the number 12345678910111213...178179 is divided by 180.

Answer 1

Answer:

if the number is divided by 12345678910111213....178179 is dived by 180 the answer for your question is

Step-by-step explanation:

180=4*5*9 so

last 2 digits of the number are 79

therefore if the number is divided by 5, remainder will be 4

and when divided by 4 the remainder will be 3

determine the divisibility by 9 as follows

the number contains all the numbers starting from 1 to 179

the sum of its digits will be 179x180/2 = 16110

and 16110 when divided by 9 leaves 0 as remainder , therefore

the whole number when divided by 9 leaves 0 as remainder .

99 is the only first number which when divided by 4,5,9

leaves a remainder of 3,4,0.

99 is the answer.