Answer :
Final answer:
The number we are looking for is 9, as it is a factor of 36 and a multiple of 3 that also leaves a remainder of 1 when divided by 4.
Explanation:
The key to answering this question is to identify the factors of 36 that are also multiples of 3, these being: 1, 3, 9, 12, 18, 36 and then examine which of these numbers will yield a remainder of 1 when divided by 4.
When we divide each of these numbers by 4, we find that 9 is the only number that leaves a remainder of 1. Therefore, 9 is the number that meets all three conditions of the problem: it is a factor of 36, a multiple of 3, and when divided by 4 gives a remainder of 1.
Learn more about operation on numbers here:
https://brainly.com/question/33817208
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