The number 1,2,3.....,25 are multiplied together. The number of zeros at the right end of the product is:
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no of zeroes at right end is 27
bapanmondal481p598wa:
No
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we know that even no.* 5x = no. ending with zeroes
where x can be any int.
so take nos. from 1 to 10
(2 * 4 * 6 * 8 * 10)*5 = no. ending with 2 zeroes
then from 11 to 20
(12 * 14 * 16 *18 * 20) * 5 = no. ending with 2 zeroes
then from 21 to 25
(22 * 24)*25 = no. ending with 2 zeroes
altogether, fact(25) also knows as the no. we get on multiplying all the int. b/w 1 to 25, has 6 zeroes at its end.
where x can be any int.
so take nos. from 1 to 10
(2 * 4 * 6 * 8 * 10)*5 = no. ending with 2 zeroes
then from 11 to 20
(12 * 14 * 16 *18 * 20) * 5 = no. ending with 2 zeroes
then from 21 to 25
(22 * 24)*25 = no. ending with 2 zeroes
altogether, fact(25) also knows as the no. we get on multiplying all the int. b/w 1 to 25, has 6 zeroes at its end.
Yes
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