Question

What is sum of all positive factors of 256.
1. 526
2. 511
3. 625
4. 562



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Answer 1

The sum of all positive factors of 256=511

Explanation:

Factor of any number :When a number  divides the given  number completely.Then, the number is called factor of given number.

Firstly, we will find the factors of 256.

Then , all positive of factors of 256 will be add.

Factors of 256 are

1,2,4,8,16,32,64,128,256

Because these number completely divides the 256.

Sum of 1,2,4,8,16,32,64,128 and 256 is given by

$1+2+4+8+16+32+64+128+256$

Sum of factors of 256=511

Hence, option 2 is true.

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