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What is the largest power of 10 that divides the product 1 × 2 × 3 × 4⋯ × 23 × 24 × 25?
  • a)
    2
  • b)
    4
  • c)
    5
  • d)
    None of the above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What is the largest power of 10 that divides the product 1 × 2 &...
10 = 2 × 5, i.e. Both 2 and 5 have to be available to make it a multiple of 10
Since number of multiples of 2 is greater than the number of multiples of 5 in the interval, Number of multiples of 10 = Number of multiples of 5
Number of multiples of 5 = 5, 10, 15, 20, 25
But 25 = 5 × 5
∴ Power of 5 in the prime factorization of the given term = 6
∴ Largest power of 10 that divides the given product = 6 
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Most Upvoted Answer
What is the largest power of 10 that divides the product 1 × 2 &...
The largest power of 10 that divides the product 1 is 10^0, which is equal to 1.
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What is the largest power of 10 that divides the product 1 × 2 × 3 × 4 × 23 × 24 × 25?a)2b)4c)5d)None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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