1×2×3×4×...×2009×2010 Hint: Consider the product of the firs
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1×2×3×4×...×2009×2010 Hint: Consider the product of the first 5 integers.
因数5的个数决定末尾0的个数
2010÷5=402个
2010÷25=80个(取整)
2010÷125=16个(取整)
2010÷625=3(取整)
402+80+16+3=501个
1×2×3×4×...×2009×2010末尾连续有501个0
再问: 知道末尾有501个0 =__00000000.....?
再答: =__00000000.....? 这个没法计算
再问: 答案=末尾连续有501个0?
再答: 是末尾连续有501个0
2010÷5=402个
2010÷25=80个(取整)
2010÷125=16个(取整)
2010÷625=3(取整)
402+80+16+3=501个
1×2×3×4×...×2009×2010末尾连续有501个0
再问: 知道末尾有501个0 =__00000000.....?
再答: =__00000000.....? 这个没法计算
再问: 答案=末尾连续有501个0?
再答: 是末尾连续有501个0
1×2×3×4×...×2009×2010 Hint: Consider the product of the firs
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