Dividing a repeating 6-digit number by 7,then by 13Select a 3-digit number.Repeat these digits to make a 6-digit number.Divide these 6 digits by 7, then by 13.The answer is 11 times the first three digits!Example: If the 3-digit number selected is 234:The 6-digit number is 234234.Divide by 7, then by 13: multiply by 11- to multiply 234 by 11, work right to left:last digit on right = _ _ _ 4next digit to left = 3 + 4 = 7: _ _ 7 _next digit to left = 2 + 3 = 5: _ 5 _ _last digit on left = 2 _ _ _So 234234 divided by 7, then 13 is 2574.See the pattern?If the 3-digit number selected is 461:The 6-digit number is 461461.Divide by 7, then by 13: multiply by 11- to multiply 461 by 11, work right to left:last digit on right = _ _ _ 1next digit to left = 6 + 1 = 7: _ _ 7 _next digit to left = 4 + 6 = 10: _ 0 _ _last digit on left = 4 + 1(carry) = 5: 5 _ _ _So 461461 divided by 7, then 13 is 5071.

Tushar Singh , 10 Years ago

Grade 12