4321 = 29*149
we know that 149 divides the product, so the question is, is any other number in the product a multiple of 29? There are only 21 consecutive factors, so it's not guaranteed, so you'll have to check whether there is a multiple of 29 between 140 and 160.
140/29 = 4.8
160/29 = 5.5
so, one of the numbers is 29*5
Thus, the product is divisible by 4321
Prove that 140 * 141 * 142 * ... * 159 * 160 is divisible by 4321.
3 answers
get a 4 digit number. repeat the number to get an eight-digit number. any 8 digit number will have at least 3 factors except for a certain number. which number?
This makes no sense whatsoever! Please respond, and explain in an easier way!