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1, 2, 3, 4, 5, 6, 7, 8, 9, 10
The above are the first 10 positive integers. The product of the numbers before the number __ is the same as the product of the numbers after that number.
ANSWER IS 7
Before 7 product is 6*5*4*3*2*1 = 720
and after 7 product is 8*9*10 = 720
The product of the numbers before the number ** 7 ** is the same as the product of the numbers after that number.
Find the largest possible value of positive integer N, such that N! can be expressed as the product of (N-4) consecutive positive integers?
Find four numbers so that the same answer is obtained when:
(a) 4 is added to the first
(b) 4 is subtracted from the second
(c) the third is multiplied by 4
(d) the fourth is divided by 4.
Clue: they add up to 75.
See the following table
Number Number of positive divisors
As n increases, the number of positive divisors of nxnxnxn.....n (n times) increases. Is it true or false?
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