sum of the.....

Number Theory Level 2

X = The sum of the factors of 2 10 2^{10}

A) X is odd

B) X is prime

C) X is divisible by 89

How many of the statements above are correct ?

0 1 2 3

Math Man by math man , 20, Indonesia

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1 solution

sum of the factors is2047 so it is odd number and it is divisible by 89

2 Helpful 0 Interesting 0 Brilliant 0 Confused

how to calculate the sum of factor

Aayush Khandelwal - 6 years, 9 months ago

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1 + 2 1 + 2 2 + 2 3 + ⋯ + 2 10 = 2 11 − 1 2 − 1 1+2^1+2^2+2^3+\cdots +2^{10}=\frac{2^{11}-1}{2-1}

= 2 11 − 1 = 2048 − 1 = 2047 =2^{11}-1=2048-1=2047

mathh mathh - 6 years, 9 months ago

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