They are 1 and 43 because it's a Prime number.
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43 is prime. It can not be divided by anything other than 1 and 43. These are not regarded as 'proper' divisors because every number is divisible itself and one.
1 x 43, 43 x 1.
I believe it would be 3, 11 and 29... all prime numbers that sum to 43.
43 and 2
41, 43, 47