Knowee
Questions
Features
Study Tools

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

🧐 Not the exact question you are looking for?Go ask a question

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.

This problem has been solved

Similar Questions

6 is a factor of 12066 and 49320. Is 6 a factor of 49320 + 12066 and 49320 - 12066?a.Nob.Yesc.Cannot be Determined

The product of divisors of 7056 is –Select an answerA(84)48B(84)44C(84)45DNone of these

Find the sum of factors of 50?A] 97                             B] 91                             C] 80                 D] 93Options :ABCD

In how many ways can 576 be expressed as product of two distinct factors?109128

The sum and difference of HCF and LCM of two numbers is 592 and 518. Find the numbers if the sum of two number is 296.101,195121,175111, 185100,196

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.