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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.

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What is the biggest remainder you can have when you divide a number by 2?

The biggest remainder you can have when dividing a number by 2 is 1. This is because when a number is divided by 2, it can either be even, resulting in a remainder of 0, or odd, resulting in a remainder of 1. Thus, the possible remainders when dividing by 2 are 0 and 1, with 1 being the largest.


When dividing a number by another number there is no remainder?

When dividing a number by another number without a remainder, it means the first number is a multiple of the second number. In mathematical terms, this is referred to as divisibility. For example, if you divide 10 by 2, the result is 5, and there is no remainder. This indicates that 10 is evenly divisible by 2.


If any number is divided by 3 and 5 then remainder comes 2 and 1. If the same number is divided by 15. what would be the remainder?

Dividing by 3 and then by 5 is equivalent to to dividing by 15; therefore, the remainder will be the same.


What is the largest remainder when dividing by 2?

The largest remainder, when dividing by any integer, n is n-1. So, when dividing by 2, the largest remainder is 1.


How do you write the remainder as a whole number and as a fraction?

To express the remainder as a whole number, simply state the remainder itself after performing division. For example, if dividing 17 by 5, the remainder is 2. To express the remainder as a fraction, take the remainder and divide it by the divisor; in this case, it would be 2/5. Thus, the remainder can be represented as both a whole number (2) and a fraction (2/5).

Related Questions

What is the biggest remainder you can have when you divide a number by 2?

The biggest remainder you can have when dividing a number by 2 is 1. This is because when a number is divided by 2, it can either be even, resulting in a remainder of 0, or odd, resulting in a remainder of 1. Thus, the possible remainders when dividing by 2 are 0 and 1, with 1 being the largest.


What is the greatest remainder you can get when you divide by 2?

If you're dividing a whole number by 2, then the greatest possible remainder is 1.


When dividing a number by another number there is no remainder?

When dividing a number by another number without a remainder, it means the first number is a multiple of the second number. In mathematical terms, this is referred to as divisibility. For example, if you divide 10 by 2, the result is 5, and there is no remainder. This indicates that 10 is evenly divisible by 2.


If any number is divided by 3 and 5 then remainder comes 2 and 1. If the same number is divided by 15. what would be the remainder?

Dividing by 3 and then by 5 is equivalent to to dividing by 15; therefore, the remainder will be the same.


What is the largest remainder when dividing by 2?

The largest remainder, when dividing by any integer, n is n-1. So, when dividing by 2, the largest remainder is 1.


Why 9 is a odd number?

Because dividing it by 2 leaves a remainder of 1.


When dividing a 3 digit number by a 1 digit number for what divisors can you get a remainder of 8?

2


The number you divide by?

In a division such as 7 divided by 3 = 2 + 1 The number you are dividing - 7 - is the dividend The number you are dividing by - 3 - is the divisor The number you get - 2 - is the quotient The number left over - 1 - is the remainder.


How do you write the remainder 2 as a fraction?

The numerator of the fraction is '2'. The denominator of the fraction is the divisor (the number you were dividing by).


How do you write the remainder as a whole number and as a fraction?

To express the remainder as a whole number, simply state the remainder itself after performing division. For example, if dividing 17 by 5, the remainder is 2. To express the remainder as a fraction, take the remainder and divide it by the divisor; in this case, it would be 2/5. Thus, the remainder can be represented as both a whole number (2) and a fraction (2/5).


Is the remainder of a negative number divided by a positive number negative?

A subtle point is that the remainder is always a positive number. So -7 divided by 3 is -3, remainder 2 (rather than -2, remainder -1). This is important for the date of Easter because we must often calculate the remainder when dividing into a negative number. Since in that case we are not interested in the quotient it is sufficient to calculate the negative remainder and then simply add to it the number we were dividing by. So -11 mod 3 may be calculated as: -11 divided by 3 is -3, remainder -2, so the number required is -2 + 3 = 1.


Are 3 and 9 odd numbers?

Yes they are. Any number that leaves a remainder when dividing by 2 is an odd number.