Multiply every combination of numbers possible. If nothing equals the number you want to know is prime, it's prime. One quick check you can make: if the number is 2 digits or more and it ends in 0, 2, 4, 5, 6 or 8, then it most definitely is NOT prime. For all other numbers, you have to do some calculating to be sure.
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The previous prime number is 23,456,787,559 and the next prime number is 23,456,787,593.
Prime factorization is when you find all the prime factors of a number.
Find a prime number that is even. 2.
It is.
The prime factors of a squared number are the prime factors, if any, of its square root.