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  1. arithmetic - How much zeros has the number $1000!$ at the end ...

    May 13, 2014 · 1 the number of factor 2's between 1-1000 is more than 5's.so u must count the number of 5's that exist between 1-1000.can u continue?

  2. Creating arithmetic expression equal to 1000 using exactly eight 8's ...

    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)...

  3. elementary number theory - How to find the last digit of $3^ {1000 ...

    The last digit of $3^5$ is $3$ The last digit of $3^6$ is $9$ Notice a pattern? Why does this pattern exist? What is going on when I multiply by three? Based on this we could guess that it has a period …

  4. Finding all triangular numbers less than 1000 that are palindromic

    Sep 22, 2025 · I'm working on a Koshy's elementary number theory exercise and need help finding all triangular numbers less than 1000 that are palindromic. The problem says as follows: Find all …

  5. combinatorics - The number of bacteria in a culture is 1000 and this ...

    Oct 3, 2023 · The number of bacteria in a culture is 1000 and this number increases by 250% every two hours. How many bacteria is present after 24 hours?

  6. sequences and series - Mathematics Stack Exchange

    May 28, 2022 · What does the sum of all the numerals from the numbers from $100$ up to $1000$ equal to?

  7. Why is kg/m³ to g/cm³1 to 1000? - Mathematics Stack Exchange

    Jul 17, 2019 · I understand that changing the divisor multiplies the result by that, but why doesn't changing the numerator cancel that out? I found out somewhere else since posting, is there a way to …

  8. algebra precalculus - Multiple-choice: sum of primes below $1000 ...

    Jan 30, 2017 · Given that there are $168$ primes below $1000$. Then the sum of all primes below 1000 is (a) $11555$ (b) $76127$ (c) $57298$ (d) $81722$ My attempt to solve it: We know that below …

  9. elementary number theory - multiple approaches/ways to prove that …

    Hint $\ $ Examining their factorizations for small $\rm\,N\,$ shows that the power of $3$ dividing the former exceeds that of the latter (by $2),$ so the former cannot divide the latter. It suffices to prove …

  10. probability - 1/1000 chance of a reaction. If you do the action 1000 ...

    A hypothetical example: You have a 1/1000 chance of being hit by a bus when crossing the street. However, if you perform the action of crossing the street 1000 times, then your chance of being ...