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Albert1
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(1)dividing $40^{110} \,\, by \,\, 37$
(2)dividing $3^{1000} \,\, by \,\, 26$
(2)dividing $3^{1000} \,\, by \,\, 26$
Albert said:(1)dividing $40^{110} \,\, by \,\, 37$
(2)dividing $3^{1000} \,\, by \,\, 26$
The formula for finding the remainder of a number divided by another number is: remainder = (dividend % divisor), where "%" represents the modulo operator.
To find the remainder of $40^{110}$ divided by 37, we can use the formula above. First, we need to calculate $40^{110}$ using a calculator or by hand. Then, we can divide the result by 37 and find the remainder using the modulo operator. The answer will be the remainder of $40^{110}$ divided by 37.
The remainder when dividing by a number can indicate whether the dividend is evenly divisible by the divisor or not. If the remainder is 0, then the dividend is divisible by the divisor. If the remainder is not 0, then the dividend is not divisible by the divisor.
The value of the remainder can change when dividing by different numbers. For example, when dividing by a smaller number, the remainder will be smaller. When dividing by a larger number, the remainder will be larger. The value of the remainder is also affected by the values of the dividend and divisor.
Yes, the remainder can be negative. This happens when the dividend is a negative number and the divisor is a positive number. In this case, the remainder will also be negative. However, in most cases, we use positive numbers for both the dividend and divisor, so the remainder will be positive.