Rule:
Convert the number in the form of 2m × 5n
- Number of zeroes = m, if m < n
- Number of zeroes = n, if n < m
Problems:
- Find the number of zeroes at the end of 24 × 32 × 17 ×
13
Solution: 24 × 32 × 17 × 13
= 23 × 3 × 25 × 17 × 13
As there is no 5 in it, so there will be no 0 in this product. - Find the number of zeroes at the end of 8 × 15 × 25 ×
22 × 13 × 19
Solution: 8 × 15 × 25 × 22 × 13 × 19
= 23 × 3 × 5 × 52 × 2 × 11 × 13 × 19
= 24 × 53 × 3 × 11 × 13 × 19
as there are power of 5 is lesser i.e. 3 so no of zeroes will be 3.
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