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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
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Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
What is the difference between factors of a number and factors of a prime number?
Well, the factors of a prime number is that they only have two factors.
What is the only number between 1 and 100 that has too few factors to be a prime number?
1 is the only number between 1 and 100 that has too few factors to be a prime number.
What is the the only even number that is 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.
What is the only even prime number and why?
2 is the only even prime number. All other even numbers have more than two factors.
What even number that have only have two factors?
2 is an even number with only 2 factors.
What even number has only 2 factors?
2 is the only positive even number with only 2 positive integer factors. (1 and 2 are the factors. )
How many even primes are there between 1 and 100?
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.
Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
What is the difference between factors of a number and factors of a prime number?
Well, the factors of a prime number is that they only have two factors.
What even number between 90 and 100 is divisible by only 1 even number?
None of them. Even numbers are divisible by themselves and 2. Every even number greater than two has at least two even factors..
Is the gcf of an odd and even number always even?
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.
What is the even number with only 2 factors?
2
What is the only number between 1 and 100 that has too few factors to be a prime number?
1 is the only number between 1 and 100 that has too few factors to be a prime number.
If you have only 2 factors and the difference between the 2 factors is 16 what are you?
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.
What arew all the factors of 2?
Two is a prime number (and the only even prime number). Its only factors are 1 and itself.
What is the the only even number that is 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.
