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First, eight even natural numbers are multiplied with the first 7 multiples of five. Find out the number of zeroes at the end of the product.
  • a)
    7
  • b)
    4
  • c)
    8
  • d)
    9
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
First, eight even natural numbers are multiplied with the first 7 mult...
First eight even natural numbers are 2, 4, 6, 8, 10, 12, 14, 16
First seven multiples of five are 5, 10, 15, 20, 25, 30, 35
Thus, 2 × 4 × 6 × 8 × 10 × 12 × 14 × 16 × 5 × 10 × 15 × 20 × 25 × 30 × 35
= 219 × 33 × 59 × 72
We will get a zero when 2 × 5 is a factor,
Number of 2 × 5 factors = 9
Number of zeroes = 9 
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First, eight even natural numbers are multiplied with the first 7 multiples of five. Find out the number of zeroes at the end of the product.a)7b)4c)8d)9Correct answer is option 'D'. Can you explain this answer?
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