2013 / 13 = 154.84615384615384615384615384615
round down to 154
13 x 13 = 169
2013 / 169 = 11.911242603550295857988165680473
round down to 11
13, 26, 39, ... 2002
but these include 169, 338, 507, ... 1859 notice this set is included in the above set.
so there are 154 numbers that are multiples of 13
there are 11 numbers that are multiples of 169 (each includes 2 factors of 13) but they are counted in the 154 factors above... so the answer is
154 + 11x2 - 11 = =154 + 11 = 165
13! = 6,227,020,800
6.22702 E+9
The number of permutations of 13 things taken 13 at a time is 13 factorial, or 6,227,020,800.
Suppose you're talking about N factorial. For an example, we'll let N be 20.For each prime number p, repeatedly divide N by p, discarding the remainder. Add up the answers.20/2 = 10, 10/2 = 5, 5/2 = 2, 2/2 = 1. 10+5+2+1 = 18.20/3 = 6, 6/3 = 2. 6+2 = 8.20/5 = 420/7 = 220/11 = 120/13 = 120/17 = 120/19 = 1Now add 1 to each of these results: 19,9,5,3,2,2,2,2.Now multiply these numbers. 19x9x5x3x2x2x2x2 = 41040.This is how many factors the factorial has. 20! has 41040 factors. (This includes both 1 and the factorial itself. Subtract 1 if you're only counting the proper factors.)The proof is left as an exercise for the reader.
1 and 13.
6.334 * 10^702
The factors of 13 are 1 and 13 The factors of 26 are 1, 2, 13, and 26 The prime factors are 2 and 13.
There are no factors other than 1 and 13 that go into 13, as it is a prime number.
Its factors are: 1, 3, 13 and 39 which makes four of them
The factors of 13 are: 1, 13 The factors of 26 are: 1, 2, 13, 26
The factors of 13 are: 1, 13 The factors of 26 are: 1, 2, 13, 26
No others.