What is the number of zeros at the end of the product of the numbers from 1 to 100? · ABC26GN0038
Subject: General Aptitude · Chapter: Number System
What is the number of zeros at the end of the product of the numbers from 1 to 100?
Answer
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Explanation
Let N = 1 × 2 × 3 × ......... × 100. Clearly, only the multiples of 2 and 5 yield zeros on multiplication. In the given product, the highest power of 5 is much less than that compared to 2. So, we shall find the highest power of 5 in N. 100 100 Highest power of 5 in N = + = 20 + 4 = 24. 5 5 2 Hence, required number of zeros = 24.
Explanation as extracted from the printed page; notation may be imperfect.