Find the number of zeroes in 10 x 20 x 30x……x 1000.
Created: 1 year ago |
Updated: 2 months ago
best des
Concept:
Take 10 as common form each term.
Number of trailing zeroes in n! = divide n by 5 and all the quotients till it reaches less than 5.
Calculations:
10 x 20 x 30 x …… x 1000
= (10 x 1) x (10 x2) x (10 x 3) x ………………… x (10 x 1000)
= 10100 x (1 x 2 x 3 x …………… x 100)
= 10100 x 100!
Number of zeroes = 100 + 100/5 + 100/52
= 100 + 20 + 4
= 124
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