Argue In Your Head: 15 divides 2¹⁰⁰⁰⁰⁰⁰-1

How can this be done?

Photo Credit: JD Mason on Unsplash

Consider powers of two: 2²=4, 2³=8, 2⁴=16, 2⁵=32…., very quickly raising 2 to higher and higher powers will yield seemingly gigantic and unfathomable numbers.

Take for example 2¹⁰⁰, which I’m told by my trusted source Alexa, is approximately 1.268 million trillion trillion.