Problem Solving (PS) | For how many positive integer x is 130/x an integer?

This question is a version of "find the number of factors." An integer divided by any of its factors equals an integer.

To find the number of factors of 130 (factors 1 and 130 included)**

1) Do the prime factorization of 130:\(2^1*5^1*13^1\)

2) Take the exponents of each prime factor. Add 1 to each.

Exponents are 1, 1, 1
Add 1 to each, thus: 2, 2, 2

3) Multiply those numbers

2 * 2 * 2 = 8
There
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