1×2×3×4×...×2009×2010 Hint: Consider the product of the first 5 integers.

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1×2×3×4×...×2009×2010Hint:Considertheproductofthefirst5integers.1×2×3×4×...×2009×2010Hint:Considerth

1×2×3×4×...×2009×2010 Hint: Consider the product of the first 5 integers.
1×2×3×4×...×2009×2010 Hint: Consider the product of the first 5 integers.

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

1×2×3×4×...×2009×2010末尾连续有501个0
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