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Yes. A factorial is an integer, since it is the product of one or more integers.
The proof of this is that any integer can be expressed as a fraction with a denominator of 1, and that if you multiply all of these fractions together, you multiply the numerators and then the denominators. Since all of the denominators are 1, their product can only be 1, therefore a factorial is an integer.
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What does the exclamation point symbolize in a math equation?
The exclamation point in a math equation symbolizes the factorial function. The factorial of an integer > 0 is the product of that integer and all of the integers between 1 and that integer. For instance 7! is 7 * 6 * 5 * 4 * 3 * 2 * 1, or 5040. The special case of 0! is defined as 1.
Why is there exclamation points in some math problems?
The exclamation point is the symbol for the factorial function. For integer values of n, n! = 1*2*3*...*n The factorial is critical for calculating numbers of permutations and combinations.
What is a factorial of a number?
A factorial of a positive integer n, is the product of all positive integers less than or equal to n. For example the factorial of 5 is: 5! = 5 x 4 x 3 x 2 x 1 = 120 0! is a special case that is explicitly defined to be 1. A factorial is denoted by n! (5! for this example)
What does it mean when there is a math problem with an explanation point next to the number?
the product of an integer and all the integers below it; e.g., factorial four ( 4!) is equal to 24 The exclamation point stands for factorial. 4! = 4 x 3 x 2 x 1
What is factorial of 998?
factorial of -1
