Math

posted by .

How many terminal zeros are at the end of (20!)?

  • Math -

    How many numbers are divisible by 5 between 1 and 20?

  • Math -

    20,15,10, and 5 are all divisible by 5. so 4. Is that how you solve for the amount of terminal zero's?

  • Math -

    uh oh my mistake. I missed a key part of the question. the question is..... How many terminal zeros are at the end of (20!)^2?

  • Math -

    The way we can get a terminal zero in a product depends on two factors (no pun intended), 2 and 5.
    There are plenty of two's between 1 and 20, namely we get three of them in 8=2^3, and 16=2^4.
    Therefore the governing factor is the number of 5's, which when combined with 2 gives a terminal zero.
    If there are four 5's between 1 and 20, then 20! will have 4 terminal zeroes.

    As you probably figured it out, squaring doubles the number of terminal zeroes.

    So if 20! has 4, then (20!)^2 should have???

    Note: watch out if and when you come to 25!
    25=5^2, so counts as 2 factors of 5.

  • Math -

    alright thankyou.

  • Math -

    You're welcome!

  • Math -

    you go to sunland don't you?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Decartes Rule of Signs

    Could you explain to me decartes Rule of signs?
  2. Math

    State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)= 9x^3 - 7x^2 + 10x - 4. The only thing I know is that there are 3 sign changes.
  3. 7th grade, math

    Can someone explain the steps to solve this problem?
  4. Math

    An appliance company has a warehouse and two terminals. To minimize shipping costs, the manager must decide how many appliances should be shipped to each terminal. There is a total supply of 1200 units in the warehouse and a demand …
  5. Math terminal zeroes

    If a number ends in zeroes, the zeroes are called terminal zeroes. For example, 520,000 has four terminal zeroes, but 502,000 has just 3. Let X equal the product of all natural numbers from 1 to 20. N = 1 * 2 * 3... *20. How many terminal …
  6. Math

    I just wanted to double check that I am correct. 1.Find the zeros for the function: f(x)= 4(x-3)(x+2)(x-4)^2 Zeros are: 3,-2, 4(multiplicity 2) 2.Find the zeros for the function: f(x)= x^3-9x Zeros are: 0, 3, -3
  7. math

    f(x)= x^3 - 2x^2 - 21x - 18 all possible rational zeros # of possible positive zeros # of possible negative zeros find all the real zeros
  8. Math

    f(x)=x64-4x^2+k. Find the values of k so thath the zeros of f satisfy the specified charachteristics. a.four real zeros b.two real zeros, each of multiplicity of two c.two real zeros and two complex zeros d.four complez zeros a.I don't …
  9. Math-Polynomials/Zeros

    How do I find complex zeros in a an equation if the equation doesn't have the + or - value at the end can th ecomplex zero(s) be made up?
  10. math

    approximate all zeros and extrema to the nearest hundredth. how many zeros, if any, are imaginary. -x^4+2x^2+x-4. Are there no zeros?

More Similar Questions