52 Factorial: How Many Zeros at the End?

Thread starter hypermonkey2
Start date Nov 28, 2005
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Factorial

In summary, 52 Factorial (52!) is a mathematical concept used to represent the number of ways a set of 52 distinct objects can be arranged in a specific order. To calculate 52 Factorial, you would multiply 52 by all the numbers below it until you reach 1. This can also be expressed as 52 x 51 x 50 x ... x 3 x 2 x 1. "Zeros at the end" refers to the number of zeros that appear at the end of the numerical representation of 52 Factorial, which in this case is 12 zeros. This number is important in various fields such as statistics, computer science, and genetics, as it is used in permutations and combinations and

Nov 28, 2005

hypermonkey2

how many consecutive zeros are at the end of 52! ?

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Nov 28, 2005

matt grime

Science Advisor

Homework Helper

Try searching these forums, this well known type of question has been asked many times before.

Nov 28, 2005

fourier jr

yeah it isn't really as hard as it sounds, how many times does 10 divide 52!, that is, how many multiples of 2*5 can you count? you should be able to do it now.

Related to 52 Factorial: How Many Zeros at the End?

What is 52 Factorial?

52 Factorial (52!) is a mathematical concept that represents the number of ways a set of 52 distinct objects can be arranged in a specific order.

How do you calculate 52 Factorial?

To calculate 52 Factorial, you would multiply 52 by all the numbers below it until you reach 1. This can also be expressed as 52 x 51 x 50 x ... x 3 x 2 x 1.

What does "zeros at the end" mean in relation to 52 Factorial?

"Zeros at the end" refers to the number of zeros that appear at the end of the numerical representation of 52 Factorial. This number indicates the number of times 10 can be divided evenly into 52 factorial.

How many zeros are at the end of 52 Factorial?

There are 12 zeros at the end of 52 Factorial. This is because 52! is a very large number (over 8.0658 x 10^67), and when expressed in scientific notation, it is written as 8.0658 x 10^67, with 12 zeros at the end.

Why is 52 Factorial important?

52 Factorial is an important mathematical concept used in permutations and combinations, which are used in various fields such as statistics, computer science, and genetics. It also has practical applications in solving complex problems and calculating the probability of different outcomes.