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Q: How do you write 25 over 60 as a product of prime numbers?

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Sure, since there are INFINITELY MANY prime numbers, that means you will find prime numbers over any given number.

Data encryption, used for personal identification numbers (PINs) and for secure communications over the internet are based on very large prime numbers.

522 is composite. Composite numbers have over two factors and prime numbers have only two factors which is one and the number itself.

1 is not a prime number, so it wouldn't be present in any prime factorization. Prime numbers don't really have factorizations, that is, the factorization is the number itself. There are prime numbers greater than 100.

Prime numbers are integers. 21/49 is equivalent to 3/7

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M sub 39 is the largest prime number. I can't write it out because it is over 40,000 numbers long.

Sure, since there are INFINITELY MANY prime numbers, that means you will find prime numbers over any given number.

11 over 89 cannot be simplified, because 11 and 89 are prime numbers

Yes - there are an infinite number of prime numbers. The first prime number after 100100 is 100103.

27

No - prime numbers are integers - a fraction cannot be a prime number.

You multiply the two numbers in the numerator (the top two) and write them above the product of the two numbers in the denominator (the bottom two) leaving you with a fraction.

Yes.

All prime numbers over 3 are either 6n - 1 or 6n + 1.

25/81 is the simplest form: The prime factors of 25 are only 5, and those of 81 are only 3. Therefore, no integer other than 1 can divide both numbers to product an integer result.

That's an infinite list.

13 over the product of whatever the other numbers were.

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