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Question
If n is a natural number, then the number of consecutive zeros in 7n, is ______.
Fill in the Blanks
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Solution
If n is a natural number, then the number of consecutive zeros in 7n, is 0.
Explanation:
Trailing (consecutive) zeros in base 10 come from factors of 10 = 2 × 5. The number 7n has only the prime factor 7 (no 2s or 5s), so it contributes 0 factors of 10 for any natural n and 70 = 1 also has no trailing zeros.
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