In 4 -digit integer 8xx1, how many pieces of number which is multiple of 13 are there?
Answer
8 pieces
Solution
8001 / 13 = 615 remainder 6.
As ones digit is 1, 13 × 617 = 8021 is the least number of multiple of 13 in 8xx1.
Then next number is to be 8021 + (the least common multiple of 13 and 10) = 8021 + 130 = 8151.
(8991 - 8021) / 130 = 7 and remainder 60.
Thus the pieces of number to be found is 7 + 1 = 8 pieces.
Answer
8 pieces
Solution
8001 / 13 = 615 remainder 6.
As ones digit is 1, 13 × 617 = 8021 is the least number of multiple of 13 in 8xx1.
Then next number is to be 8021 + (the least common multiple of 13 and 10) = 8021 + 130 = 8151.
(8991 - 8021) / 130 = 7 and remainder 60.
Thus the pieces of number to be found is 7 + 1 = 8 pieces.
