Factorial one hundred (written 100!) has 24 noughts when written in full and that 1000! has 249 noughts? Convince yourself that the above is true. Perhaps your methodology will help you find the number of noughts in 10 000! and 100 000! or even 1 000 000!
Prove that if a^2+b^2 is a multiple of 3 then both a and b are multiples of 3.
Find the largest integer which divides every member of the following sequence: 1^5-1, 2^5-2, 3^5-3, ... n^5-n.
Alison worked out the value of the letters in the following order: w, a, b, m, c, v, e, n, d
Here is the complete route she took through the lettered cells:
Charlie worked out the value of the letters in the following order: a, m, b, w, c, v, e, n, d
Here is the complete route he took through the lettered cells:
Steve worked out the value of the letters in the following order: c, v, w, a, b, m, e, n, d
Can you work out the values of the nine letters in the same order that they did?
Can you work out the values of the letters in any other orders?
After finding the values of all the variables, you can solve the rest of the Sudoku using standard techniques and strategies.
After completing this Sudoku you may like to have a go at LCM Sudoku II
Thank you to Henry Kwok for devising this Sudoku.