The sum of the factors of 19600 is Select an answerA54777B33667C5428DNone of these
Question
The sum of the factors of 19600 is
Select an answer
A 54777
B 33667
C 5428
D None 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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