2007-02-09 13:50:34 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
it's is the same as finding number of 5's in 126!
the number of 5's can be found out by repeatedly dividing the quotients of 126 by 5
126/5=25
25/5=5
5/5=1
the number of 5's is 31
therefore the number of 0's is 31..
2007-02-09 13:59:34 · answer #1 · answered by IN PURSUIT OF WISDOM 2 · 2⤊ 0⤋
The number of zeros on the end of 126 factorial can be determined by factoring 126! The only part we are interested in are the factors of 2 and 5. Every time you can pair a 2 and 5 together, they multiply to ten and add a zero. Clearly there are more factors of 2 than 5. So five is the limiting case. The powers of five will determine the number of zeros.
Every fifth number 5 10, 15,...125 has a power of five. There are 25 such numbers.
Every 25th number has two powers of 5. There are five such numbers. And 125 is 5 cubed.
So the powers of five are
25 + 5 + 1 = 31
The number of zeros on the end of 126! is 31.
2007-02-09 14:01:15 · answer #2 · answered by Northstar 7 · 1⤊ 0⤋
The same as the power to which 5 is raised.
there are 25 numbers ending in 5 or 10. 4 contain the factor 5^2 & 1 contains 5^2
25+4+2=31
there are 31 zeros.
2007-02-09 14:47:33 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
The numbers {10,20,30,40,60,70,80,90,110,120} will give you 10 zeroes.
The number 50 when multiplied by an even number gives 2 zeroes/
The number 100 will give you 2 zeroes.
The numbers {5,15,35,45,55,65,85,95,105,115} when multiplied by even numbers give 10 zeroes.
The numbers {25,75} when multiplied by multiples of 4 will give 4 zeroes.
The number {125} when multiplied by multiplies of 8 will give 3 zeroes.
The total number of zeroes are: 10+2+2+10+4+3 = 31
2007-02-09 14:51:05 · answer #4 · answered by ignoramus_the_great 7 · 0⤊ 0⤋
Northstar's explanation is clearer, but In Pursuit of Wisdom got the right answer.
Northstar forgot about the second factor of 5 in 50, 75, and 100.
2007-02-09 14:03:03 · answer #5 · answered by Curt Monash 7 · 0⤊ 0⤋
none?
what's your question?
do you mean after the decimal?
if so, then there COULD be none, or there could be an infinite number.
Depends the acuracy of the number.
if you say you have 126 apples. then that's an absolute number. there are an infinte number of 0 after the decimal...
if you say you have 126ml of water.
there are no 0 afte the decimal because you don't know exactly the number of ml you have. there is always some inaccuracies in measuring.
2007-02-09 13:54:17 · answer #6 · answered by Michael Dino C 4 · 0⤊ 2⤋
i think she means 126 factorial.......
2007-02-09 13:55:24 · answer #7 · answered by wendywei85 3 · 1⤊ 0⤋