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When a perfect square is divided by 3, the possible remainders are 0 or 1. This is because any integer can be expressed in one of three forms modulo 3: 0, 1, or 2. Squaring these forms gives the results: (0^2 \equiv 0 \mod 3), (1^2 \equiv 1 \mod 3), and (2^2 \equiv 1 \mod 3). Thus, perfect squares can only yield remainders of 0 or 1 when divided by 3.
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What is 84 divided by 3 with remainders equal?
28
Why can you not get a remainder of 2 when dividing a square number by 3?
A square number can only yield specific remainders when divided by 3. When a number ( n ) is divided by 3, it can have a remainder of 0, 1, or 2. The possible square results are ( 0^2 \equiv 0 ), ( 1^2 \equiv 1 ), and ( 2^2 \equiv 1 ) (mod 3). Thus, the only possible remainders when dividing a square number by 3 are 0 or 1, never 2.
What is 58 divided by 3 with remainders?
19.3333
What is the smallest number that is a perfect square when divided by 2 and a perfect cube when divided by 3?
0.6667
How many remainders are in 91 divided by 3?
30.3333
What is 86 divided by 3 with remainders?
28.6667
What is 9 divided by 3 with remainders?
3
What is 84 divided by 3 with remainders equal?
28
Why can you not get a remainder of 2 when dividing a square number by 3?
A square number can only yield specific remainders when divided by 3. When a number ( n ) is divided by 3, it can have a remainder of 0, 1, or 2. The possible square results are ( 0^2 \equiv 0 ), ( 1^2 \equiv 1 ), and ( 2^2 \equiv 1 ) (mod 3). Thus, the only possible remainders when dividing a square number by 3 are 0 or 1, never 2.
What is 58 divided by 3 with remainders?
19.3333
What is the smallest number that is a perfect square when divided by 2 and a perfect cube when divided by 3?
0.6667
What is 40 divided by 3 and what are the remainders?
13.3333
How many remainders are in 91 divided by 3?
30.3333
What is 3 divided by 4 in remainders?
0.75
What is 362 divided by 3 and does it have a remainder?
120.6667
Is 15 divided by 6 remainders?
2.5
What is 939 divided by 4 with remainders?
234.75
