Question 443306
This won't be fun, but it will be easier than listing all the factors of 29160.
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Here's what I suggest:

Start by dividing it by 2 til you can't anymore:

29160 /2 = 14580 /2 = 7290 /2 = 3645

Now start dividing by 3:

3645 / 3 = 1215 /3 = 405 / 3 = 135 / 3 = 45 /3 = 15 /3 = 5

Now start dividing by 5:

5 /5 = 1

You would divide by (7,11,13 ... all primes) until you got down to 1, but since we got down to 1 after 5, then there would be no need.
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So we divided by 2 thrice, 3 6 times, and 5 once

Then the factorization is {{{2^3 * 3^6 * 5}}}

This is called the prime factorization of a number. Every number has a prime factorization except for 1.

There is a formula for finding the number of factors.  

Number of factors for p^n = {{{n+1}}}

Also, the factors of pq = factors of p * factors of q.

Knowing these things, we can find the number of factors.

Factors of 29160 = factors(2^3) * factors(3^6) * factors(5)
Factors of 29160 = {{{(3+1)*(6+1)*(1+1) = 4*7*2 = 56}}}
29160 has 56 factors.
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To summarize:
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Find the prime factorization of a number.
Find the number of factors for each p^n, where p is a prime.
Multiply the number of factors you find in each to get your total number of factors.

Those 56 factors are:

1  2  3  4  5  6  8  9  10  12  15  18  20  24  27  30  36  40  45  54  60  72  81  90  108  120  135  162  180  216  243  270  324  360  405  486  540  648  729  810  972  1080  1215  1458  1620  1944  2430  2916  3240  3645  4860  5832  7290  9720  14580  29160