Solve Exponents Question: 333333/33 Remainder Value

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In summary, the conversation discusses strategies for finding the remainder when dividing 333333 by 33, including using prime number factors and modulo arithmetic.
  • #1
TheExibo
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If you divide 333333 by 33, what is the value of the remainder?

I'm not sure where to starte since this number can't be put into a calculator. Is there something with logs? I was thinking of bringing the number down with logs to 333log333, but I'm confused as to where that will lead me.
 
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  • #3
TheExibo said:
If you divide 333333 by 33, what is the value of the remainder?

I'm not sure where to starte since this number can't be put into a calculator. Is there something with logs? I was thinking of bringing the number down with logs to 333log333, but I'm confused as to where that will lead me.
Taking the logarithm of [itex]333^{333}[/itex], divided by 3, would give 333log(333)- log(3). The difficulty is that your calculator can only give a limited number of decimal places for the logarithm and multiplying by 333, then taking the exponential of the result, will make the "round off error" worse.
 
  • #4
Do you know modulo arithmetic? You should look into that. (It's not very difficult, it's mainly just a handy notational system to make problems like these easier)
 

FAQ: Solve Exponents Question: 333333/33 Remainder Value

1. How do I solve this exponents question?

To solve this exponents question, you can use the quotient rule for exponents, which states that when dividing two numbers with the same base, you can subtract the exponents. In this case, the answer would be 10 (333333/33 = 10).

2. What is the remainder value in this question?

The remainder value in this question is 0, as 333333 is evenly divisible by 33.

3. Do I need to simplify this fraction before solving?

Yes, it is always helpful to simplify fractions before solving. In this case, you can divide both the numerator and denominator by 33 to simplify the fraction to 10001/1. This makes it easier to calculate the answer, which is 10001.

4. Can this question be solved using a calculator?

Yes, this question can be solved using a calculator. Simply enter 333333/33 into your calculator and the answer, 10, will be displayed.

5. How can I check my answer to make sure it is correct?

You can check your answer by using the remainder value method. Divide the original number (333333) by the divisor (33) and check if the remainder is 0. If it is, then your answer is correct. You can also plug your answer back into the original equation to verify if it is correct.

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