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- How much zeros has the number $1000!$ at the end?
If a number ends with n n zeros than it is divisible by 10n 10 n, that is 2n5n 2 n 5 n A factorial clearly has more 2 2 s than 5 5 s in its factorization so you only need to count how many 5 5 s are there in the factorization of 1000! 1000!
- What does it mean when something says (in thousands)
It means "26 million thousands" Essentially just take all those values and multiply them by 1000 1000 So roughly $26 $ 26 billion in sales
- Compute 3^1000 (mod13) - Mathematics Stack Exchange
0 I'm unsure how to compute the following : 3^1000 (mod13) I tried working through an example below, ie) Compute 3100,000 mod 7 3 100, 000 mod 7
- Creating arithmetic expression equal to 1000 using exactly eight 8s . . .
I would like to find all the expressions that can be created using nothing but arithmetic operators, exactly eight $8$'s, and parentheses Here are the seven solutions I've found (on the Internet)
- Why is $x^ {100} = 1 \mod 1000$ if $x - Mathematics Stack Exchange
2 Let U(1000) = U (1000) = the multiplicative group of all integers less than and relative prime to 1000 1000 "Show that for every x ∈ U(1000) x ∈ U (1000) it is true that x100 = 1 mod 1000 x 100 = 1 mod 1000 " Been thinking about this for hours but I cannot for the life of me find out why this is true
- Look at the following infinite sequence: 1, 10, 100, 1000, 10000,
What is the proof that there are 2 numbers in this sequence that differ by a multiple of 12345678987654321?
- elementary number theory - How do I find $999!$ (mod $1000 . . .
I came across the following question in a list of number theory exercises Find 999! 999! (mod 1000 1000) I have to admit that I have no idea where to start My first instinct was to use Wilson's Theorem, but the issue is that 1000 1000 is not prime
- Prove that $7^{100} - 3^{100}$ is divisible by $1000$
Prove that 7100 −3100 7 100 − 3 100 is divisible by 1000 1000 Equivalently, we want to show that
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