no: the decimal is not repeating or terminating and therefore cannot be written as a fraction, which is one of the two requirements to be a rational number.
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A rational number is one that can be expressed as the ratio of two integers. All integers (which includes 51) are themselves rational numbers as they can be written 51 = 51/1
the clue is that one of the factors must be <= square root(N). So, you know one number must be <=7 and there are only 4 possible primes that are eligible. They are 2,3,5 and 7. Because 51 is odd, we toss out 2. The number 5 only evenly divides into numbers ending in 0 or 5, so we can toss out 5. Then, the numbers are either 3*(51/3) or 7*(51/7). Only one of the expressions in parentheses is also a prime number. This gives your answer for the pair.
No, 51 is not a prime number. A prime number is a number that has only itself and 1 as a factor. 51's factors are 1,3,17, and 51.
ANSWER: 61 is a prime number but 51 is a composite number.61 is a prime number because the factors of 61 are 1 and itself (61).51 is a composite number because the factors of 51 other 1 and itself (51) are 3 and 17.
the next prime number after 51 is 60 :)