Oh, dude, let me drop some math knowledge on you. So, a Prime number is a number greater than 1 that can only be divided by 1 and itself. Out of those options, 563 is the only prime number. The rest are just hanging out, being all divisible and stuff.
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Among the numbers provided, 563 is a prime number. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In this case, 563 cannot be divided evenly by any other number than 1 and 563, making it a prime number.
The only even prime is 2, so neither 234 nor 788 is prime. Since 1+2+3=6 is divisible by 3, the divisibility test for 3 says 123 can not be prime. If one of the options must be prime, then we know it is 563. Just to check:
563 is odd and not divisible by 3,5,7,11,13,17,19, or 23. Since it is not divisible by any primes less than its square root, we know that 563 is not divisible by any whole numbers other than itself and one and is hence prime.
all the numbers through 564 to 652 are all inbetween 563 and 653
The numbers 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593 and 599 are prime.
The prime numbers between 500 and 600 are : 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593 and 599.
600
Prime factorization of 18 = 2 x 3 x 3 Prime factorization of 45 = 3 x 3 x 5 Prime factorization of 63 = 3 x 3 x 7 It can be seen that 3 x 3 is the greatest number common in the factorization of 18, 45 and 63. So, GCF is 3 x 3 = 9.