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As the numbers 1 to 99 are multiplied together, one factor of the product will be 10 which means the last digit must be 0 (a zero).

Without working out the product, it can be seen that every multiple of 5 in the original numbers can be paired up with an even number (that is not a multiple of five) and multiplied together (which produces a multiple of 10) which are all factors of the product together; thus the product will ends with that number of zeros: there are 19 multiples of 5 in the numbers 1-99, so the last 19 digits of the product are all 0 (zero).

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โˆ™ 2012-04-02 10:28:26
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A polynomial of degree zero is a constant term

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Q: All the numbers from 1 to 99 are multiplied together Use a pattern to determine the last digit of the product?
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