When we talk about a number with only even factors, we consider only the prime factors, as an even composite factor can still have an odd prime factor. For example, 12 can be factorized with only even factors (6*2), but because 6 = 2*3, there is still a hidden odd factor.
Now, consider the fact that the only even Prime number is two. Therefore, if a number has prime factors other than two, it will have odd factors. It is easy to see therefore that the only numbers with entirely even factors are powers of two. Excluding 2^0 = 1, the powers of two between 1 and 100 are:
2^1 = 2
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
No, only square numbers have an odd number of factors.
Well, the factors of a prime number is that they only have two factors.
1 is the only number between 1 and 100 that has too few factors to be a prime number.
A prime number is any number that only has only one and itself as factors. By definition even numbers have a factor of two. Therefore the only even number that is prime is the number 2.
2 is the only even prime number. All other even numbers have more than two factors.
2 is an even number with only 2 factors.
2 is the only positive even number with only 2 positive integer factors. (1 and 2 are the factors. )
A prime number is a number with only two factors - itself and one. Since every even prime number greater than two is divisible by two, each of these even numbers has more than two factors. There is only one even number with just two factors - the number 2 is divisible by 2 and 1.
No, only square numbers have an odd number of factors.
Well, the factors of a prime number is that they only have two factors.
None of them. Even numbers are divisible by themselves and 2. Every even number greater than two has at least two even factors..
No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.
2
1 is the only number between 1 and 100 that has too few factors to be a prime number.
Two is a prime number (and the only even prime number). Its only factors are 1 and itself.
A prime number is any number that only has only one and itself as factors. By definition even numbers have a factor of two. Therefore the only even number that is prime is the number 2.
17 If the number has only two factors, it must be a prime number. The only factors of 17 are 1 and 17. The difference between 1 and 17 is 16.