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How do you find the multiplicative inverse of a number mod a number?
Formally, a number n, has an inverse mod p only if p is prime. The inverse of n, mod p, is one of the numbers {0, 1, 2, ... , k-1} such that n*(p-1) = 1 mod p If p is not a prime then: if n is a factor of p then there is no such "inverse"; and if n is not a factor of p then there may be several possible "inverses".
What is meant by modulus of any number?
One number "modulo" another number indicates the remainder after division of the first number by the second. For example, the integer result of 11 / 2 is 5 with a remainder of 1, so 11 mod 2 = 1. (In fact, any odd number mod 2 = 1.)
What number containing the numbers 1 through 9 with all numbers only used once is divisible by all the numbers from 1 through 9?
36288 WRONG!(1*2*3*4*5*6*7*8*9)/10 WRONG!I obviously misreads the question. after writing a simple visual basic program, see below. I am changing my answer to "does not exist." as the program failed to return a value.Private Sub Command0_Click()Dim i As Longi = 1Do While i Mod 9 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 8 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 7 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 6 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 5 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 4 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 3 > 0 Or i Mod 10 = 0i = i + 1Do While i Mod 2 > 0 Or i Mod 10 = 0i = i + 1LoopLoopLoopLoopLoopLoopLoopLoopMsgBox iEnd Sub
What number divided by 3 has a remainder of 2 and divided by five has a remainder of three?
x = 2 mod 3; x = 3 mod 5. Equivalently, x = 3m + 2 = 5n + 3. One such number is 23; others could be found.
What is the only even number that is an odd number?
None. And any attempts to say other wise are defeated in higher math. Even 0 is considered even by way of being 0 in mod(2). (similarly, 1 is odd by being 1 in mod(2) )
