High School

Consider the number 176.

- 176 has ____ divisors.
- 176 has ____ proper divisors.

Answer :

Final answer:

The number 176 has 10 divisors and 9 proper divisors.

Explanation:

To find the number of divisors of 176, we need to prime factorize it. The prime factorization of 176 is 2^4 * 11.

Using the formula for finding the number of divisors, which is (a+1)(b+1)(c+1)..., where a, b, c, etc. are the exponents of the prime factors, we can calculate the number of divisors of 176 as (4+1)(1+1) = 10.

Now, to find the number of proper divisors, we subtract 1 from the number of divisors. Therefore, 176 has 10 - 1 = 9 proper divisors.

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