My name is Talei and I am a pupil from Poltair Community School
and Sports College in St Austell, in Cornwall.
The highest power of 11 which will divide exactly into 1000! is
I worked this out by:-
- deciding that there are 90 multiples of 11 from 11 to 990
multiplied within 1000!
- in a fraction with all the factors of 1000! as the numerator
and with a denominator of as many elevens as possible to cancel out
the multiples of 11 in the numerator, you would cancel out 90
elevens from every multiple of 11, e.g. 22/11= 2, and a further
eight elevens from each multiple which could be divided by eleven
twice, e.g. 11 x 11, 22 x 11, 33 x 11 up to 88 x 11
- and turning each eleven into a power, gives my above
- This would definitely divide exactly into 1000!