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Why is number 2 a prime number?

Why is the number 2 a prime number

13 Answers

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  • Ganesh
    Lv 5
    1 decade ago
    Favorite Answer

    First of all, in mathematics, a prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself.... The property of being a prime is called primality, and the word prime is also used as an adjective. Since two is the only even prime number, the term odd prime refers to any prime number greater than two.... So only, '2' is a prime number.

  • Anonymous
    5 years ago

    To say a thing like that is to confirm that the distinction between odd and even is more of a language concept than a numerical concept. You could also say that it is significant that among all the even numbers, 2 is the only prime one, compared with quite a lot of primes among the odd numbers. The real anomaly with 2 as a prime is because it is so small. For all other primes P, the number 1 behaves in a certain way relative to it, and the number P-1 behaves in a certain other way. When P is 2, the numbers 1 and P-1 are identical.

  • 1 decade ago

    A prime number is a number that only divides by itself and 1 to give a whole number. In other words , the only way to get a prime number is 'itself X 1'

    Since the number two only divides by itself and 1 it's a prime number. Another way to think of it is, the only way you can get the number 2 is:

    '2 X1'

    Hope this helped

  • Pranil
    Lv 7
    1 decade ago

    A prime number is divisible by 1 and the number itself.

    and 2 is divisible by 1 and 2 itself.so 2 is prime number.

    similarly prime numbers has only 2 factors,

    factors of 2 are 1 and 2

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  • Anonymous
    1 decade ago

    Because a prime number can only be divided by 1 or itself.

  • Awms A
    Lv 7
    1 decade ago

    Well, if a natural number x divides 2, then 1 <= x <= 2. This only leaves two possible values for x: 1 and 2. Both of them divide 2, so 2 has exactly two positive divisors.

    This is precisely saying that 2 is prime.

  • 1 decade ago

    it is so because it has only two factors

    i.e 1 and 2

    so it is a prime number

  • 5 years ago

    well its simple, 2 is only divisible by it self and 1 cause to get 2 u have to multiply 1x2 so u divide 2÷1 or 2÷2

  • 1 decade ago

    Because it is not wholly divisible by any positive numbers apart from 1 and itself.

  • 1 decade ago

    Only divisible by one and itself

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