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32 (mod 4) = 9 (mod 4) = 1 (mod 4)
is whats meant I presume. Shorthand writing is
32 ≡ 1 (mod 4)
but OP presumably didn't have the ≡ key
there are exactly 4 division algebras (over the field of real numbers): the real numbers, the complex numbers, the quaternions, and the octonians. you can't add any more complex parts because you lost associativity with the octonians. I'm not entirely sure how the first domino leads to the last, though.
