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For integers greater than 1 the product down to 1 is called factorial, indicated mathematically as

N!

wher N is the highest integer

For example 5! = 5 factorial = 5x4x3x2x1 = 120

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Q: What do you call the product of all positive integers from a given integer to 1?
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Related questions

What is a consecutive positive integer?

A consecutive positive integer is the next positive whole number following a given integer. For example, the consecutive positive integers after 5 would be 6, 7, 8, and so on.


For any positive integer x how many positive even integers are less than x is it x or x minus 1 or x plus 1 divided by 2 or x minus 1 divided by 2 or x divided by 2?

Given any positive odd integer x the number of positive even integers less than x is given by (x-1)/2.


How are LCM and GCF simmilar?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. They are always positive integers.


Are all numbers integers?

No. All numbers that appear on any given number line are real numbers. To be an integer, a number must not have any fractions or decimals. An integer could be positive or negative, or 0.


Is the product of two odd integers odd?

Yes the product of two odd integers is odd. The proof lies in recognizing that 2 times an integer is an even integer. Like, given two arbitrary integers a and b, 2a+1 and 2b+1 are odd. And the product of (2a+1)(2b+1) can be represented as 2c+1, where c might be even or odd - it doesn't matter. c = 2ab+a+b, in fact (check it out.) However, 2c+1 is clearly an odd integer.


Is there a largest positive integer and why?

No, there is not. Given any positive integer n, n+1 is also a positive integer and it is larger.


What is the difference between the least common multiple and the least common factor?

The least common multiple, or LCM, is the smallest integer that all the members of a given set of numbers will divide into evenly with no remainder. The least common factor of any set of positive integers is 1.


What does the LCM mean?

The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder.


What is the product of a given whole number and an integer?

It is a whole number which is another name for an integer.


It is the smallest three-digit number with all the digits different?

My intuition suggests you are after a positive integer, so the answer is 102. However I suppose technically 0.12 also meets the criteria given (though it is not an integer). And if you can include negative integers then -987 would be the answer.


How are the GCF and LCM alike?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder.


What does the word closure property for addition mean?

It means that given a set, if x and y are any members of the set then x+y is also a member of the set. For example, positive integers are closed under addition, but they are not closed under subtraction, since 5 and 8 are members of the set of positive integers but 5 - 8 = -3 is not a positive integer.