The sum of the factors of 19600 is Select an answerA54777B33667C5428DNone of these
Question
The sum of the factors of 19600 is Select an answerA54777B33667C5428DNone of these
Solution
To find the sum of the factors of 19600, we first need to find the prime factorization of 19600.
The prime factorization of 19600 is 2^6 * 5^2 * 7^2.
Next, we use the formula for the sum of the factors of a number, which is (p1^0 + p1^1 + p1^2 + ... + p1^n) * (p2^0 + p2^1 + p2^2 + ... + p2^n) * ..., where p1, p2, ... are the prime factors of the number.
So, the sum of the factors of 19600 is (2^0 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6) * (5^0 + 5^1 + 5^2) * (7^0 + 7^1 + 7^2).
Calculating this gives us 127 * 31 * 57 = 223,617.
So, the correct answer is D. None of these.
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