Prime factorization, modulo for bit packets in computers, common factors in algebra

Big stuff is made of smaller stuff. The smaller stuff may be stuck together, making it look like it can’t be broken down, but indeed there are semi-discrete elements joined together in mathematical statements such that we can often remove common factors and break down larger objects into smaller pieces. Computers break down files into Byte-sized packets to send across broadband networks using modulo functions, optimizing for fewer fragmented parts; that is, fewer remainders. Algebraic statements & integers can be factored into constituent parts. It may seem arbitrary or somewhat meaningless, but the idea that bigger stuff is made of smaller stuff is a fundamental across disciplines. This pattern exists in the physical world, and mathematics is no exception to the trend.