The only way to know if a number is prime or not is to try and divide it by every number and if non of them work then it is a Prime number
I am not really sure what you mean but prime numbers but the prime factorization of 972 is 2x2x3x3x3x3x3
Sure, since there are INFINITELY MANY prime numbers, that means you will find prime numbers over any given number.
Pretty sure it is 37.
Make sure that one of them is 2.
I don't think anybody's really sure, as numbers go on into infinity.
I'm not sure what you mean by that. Prime numbers don't have prime factorizations because they are already prime.
I'm sure there are more than 2 prime numbers that are 400 digits long.
After making sure all the numbers are prime, multiply them together. If you get your original number, the prime factorization is correct.
To determine the number of prime numbers between 1 and 8888888888888888888888888888888888888888888888, we can use the Prime Number Theorem. This theorem states that the density of prime numbers around a large number n is approximately 1/ln(n). Therefore, the number of prime numbers between 1 and 8888888888888888888888888888888888888888888888 can be estimated by dividing ln(8888888888888888888888888888888888888888888888) by ln(2), which gives approximately 1.33 x 10^27 prime numbers.
I am sure that there are 25 prime numbers exist in mathematics
There are many cases of prime numbers with a difference of 8, for example (3, 11), and (101, 109). Look at a list of prime numbers, and you will quickly find more examples. If you mean, without other prime numbers in between, I believe the first such pair is (89, 97). I am pretty sure you will find more - just look at a table of prime numbers.
Answer: Sure, if one of the numbers is prime and not a factor of the other. Answer: Yes, if they have no prime factors in common - for example, 64 (26) and 15 (3 x 5).