a whole number greater than 11 gives the same non-zero remainder when divided by 3?5?7? or 11. what is the smallest value of this whole number

Question

just need an answer

Answer 1

Find the smallest whole number such that when it is divided by 3, 5, 7, and 11 you get the same non-zero remainder.

No two of these numbers have any common factors except the number 1.

Multiply 3*5*7*11 to get 1155.

1155 is divisible by 3, by 5, by 7, and by 11

add 1 to 1155 to get 1156

1156/3=385 R1

1156/5=231 R1

1156/7=165 R1

1156/11=105 R1

1156 is the number